A Carnot freezer takes heat from water at 0 o C inside it and rejects it to the room at a temperature of 27…

A Carnot freezer takes heat from water at 0oC inside it and rejects it to the room at a temperature of 27oC. The latent heat of ice is 336×103 Jkg-1. If 5kg of water at 0oC is converted into ice at 0oC by the freezer, then the energy consumed by the freezer is close to :
  1. 1.51×105 J
  2. 1.68×106 J
  3. 1.71×107 J
  4. 1.67×105 J

Solution

Q=mL

=5×336×103=Qsink

QsinkQsource=TsinkTsource

   Qsource=TsourceTsinkQsink

   Work done =Qsource-Qsink

=QsinkTsourceTsink-1

=5×336×103300273-1

=1.67×105 J

Asked in: JEE Main 2016 (10 Apr Online)

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