Thermodynamics: Refrigerators and Heat Pumps

A refrigerator is operated by a 1000 watt motor. If the “coefficient of performance” of this refrigerator is 5, what is the rate in which heat transfers to the room from the back pf the refrigerator? Imagine you put a plate of food with the total mass of 500g and a temperature of 50 °𝐶 inside the refrigerator. If the effective specific heat of the plate of food is 4000 JkgK\frac{J}{kg\cdot K}, how long does it take for the refrigerator to cool it down to 5 °𝐶?
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