Question

The Interior of a freezer, operating with an ideal Carnot cycle, is at a constant of -25.0 C, and the room the freezer is in is at a temperature of 25.0 C.The freezer convert 0.636 kg of water initially at 20.0 C into ice at -25.0 C. How much input work (in kJ) is required for this process to occur? ( The specific heat of ice is 2090 J/(kg*C), the specific heat of liquid water is 4186 J/(kg*C), and latent heat of fusion of ice is 3.33x10^5 J/kg.)

Answer 1

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Let be the input work, be the heat taken from water and be the heat supplied to room.

Given that,

Temperature inside freezer,

Room temperature,

Hence, coefficient of performance is given by,

Heat absorbed from water to convert into ice is given by,

We know that, coefficient of performance is given by,

Also, we have, input work is given by,

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