A freezer has a coefficient of performance of 6.30. It is advertised as using 446 kWh/yr. Note: One kilowatt-hour (kWh) is an amount of energy equal to running a 1-kW appliance for one hour.
(a) On average, how much energy does it use in a single day?
(b) On average, how much energy does it remove from the refrigerator in a single day?
(c) What maximum mass of water at 19.6°C could the freezer freeze in a single day? (The latent heat of fusion of water is 3.33 105 J/kg, and its specific heat is 4186 J/kg · °C.)

a) per day

b)

c)

Explanation:

Given;

coefficient of performance of the refrigerator,

energy used per year of operation of the refrigerator,

a)

Energy used in single day:

per day

b)

Energy removed from the refrigerator in a single day:

We have the energy consumed in 1 day as,

so,

The desired effect of a refrigerator is to eliminate heat from the evaporator.

c)

Now the maximum mass of water that can freeze form 19.6°C:

where:

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