Estimate the rate of heat transfer through the Styrofoam insulation in the walls of a kitchen refrigerator. The total wall area of the refrigerator is 4.0 m7, and the temperature inside the refrigerator is 4.0 °C, while the room (outside of the refrigerator) temperature is 25.0 °C. The Styrofoam thickness is 30.0 mm, and thermal conductivity of the Styrofoam is 0.010 J/s m °C. Please show your solutions. (1 m = 1000mm)

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Author:Raymond A. Serway, Chris Vuille
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Estimate the rate of heat transfer through the Styrofoam insulation in the walls of a kitchen refrigerator. The total wall area of the refrigerator is 4.0 m7, and the temperature inside the refrigerator is 4.0 °C, while the room (outside of the refrigerator) temperature is 25.0 °C. The Styrofoam thickness is 30.0 mm, and thermal conductivity of the Styrofoam is 0.010 J/s m °C. Please show your solutions. (1 m = 1000mm)
Expert Solution
Step 1

Given the area of the wall A=4.0m2

inside temperature T1=4.0oC

outside temperature T2=25.0oC

Thickness d=30.0mm=0.003m

Thermal conductivity k=0.010J/sm-oC

we know that the heat transfer rate is defined as 

Qt=kA(T2-T1)d

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