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A typical electric refrigerator has a power rating of 500 Watts, which is the rate (J/s) at which electrical energy is supplied to do work needed to remove heat from the refrigerator. If the refrigerator releases heat to the room at a rate of 800 Watts, at what rate (in Watts) does it remove heat from inside of the refrigerator?

Respuesta :

Answer:

The rate of heat removed from inside the refrigerator is 300 watts.

Explanation:

By the First Law of Thermodynamics and the definition of a Refrigeration Cycle, we have the following formula to determine the rate of heat removed from inside the refrigerator ([tex]\dot Q_{L}[/tex]), in watts:

[tex]\dot Q_{L} = \dot Q_{H}-\dot W[/tex] (1)

Where:

[tex]\dot Q_{H}[/tex] - Rate of heat released to the room, in watts.

[tex]\dot W[/tex] - Rate of electric energy needed by the refrigerator, in watts.

If we know that [tex]\dot Q_{H} = 800\,W[/tex] and [tex]\dot W = 500\,W[/tex], then the rate of heat removed from inside the refrigerator is:

[tex]\dot Q_{L} = \dot Q_{H}-\dot W[/tex]

[tex]\dot Q_{L} = 300\,W[/tex]

The rate of heat removed from inside the refrigerator is 300 watts.

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