A freezer has a temperature The air in the kitchen has a

Chapter , Problem 77

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QUESTION:

A freezer has a temperature \(T_c=-23^{\circ} \mathrm{C}\). The air in the kitchen has a temperature \(T_{\mathrm{h}}=27^{\circ} \mathrm{C}\). The freezer is not perfectly insulated, and heat leaks through the walls of the freezer at a rate of \(50 \mathrm{~W}\). Find the power of the motor that is needed to maintain the temperature in the freezer.

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QUESTION:

A freezer has a temperature \(T_c=-23^{\circ} \mathrm{C}\). The air in the kitchen has a temperature \(T_{\mathrm{h}}=27^{\circ} \mathrm{C}\). The freezer is not perfectly insulated, and heat leaks through the walls of the freezer at a rate of \(50 \mathrm{~W}\). Find the power of the motor that is needed to maintain the temperature in the freezer.

ANSWER:

Step 1 of 4

We have given

 represents the temperature of the freezer (cold reservoir)

 represents the temperature of the air in the kitchen (hot reservoir)

 

 represents the rate at which heat leaks through the walls of the freezer.

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