Question

A freezer has a coefficient of performance of 2.40. The freezer is to convert 2.10 kg of water at T = 25.0°C to 2.10 kg of ice at T = -5.0°C in one hour. (a) What amount of heat must be removed from the water at 25.0°C to convert it to ice at -5.0°C? (b) How much electrical energy is consumed by the freezer during this hour? c) How much wasted heat is delivered to the room in which the freezer sits?

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Answer #1

(1)

Let Q the amount of heat to be removed,

Q = m [C(0-25) - 79.8 + C'(-5 -0)]

Q = - 2100*(25 +79.8 + 0.50*5) = - 225330 cal = -942780.72 J

(2)

The electrical energy consumed is

E = |Q|/COP = 942780.72/2.40 = 392825.3 J

(3)

The heat rejected to the room is:

Q' = |Q| + E = 1335606.02 J

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