The roof of an electrically heated home is 12m long, 16m wide, and 0.50m thick, and is made of a flat layer concrete whose thermal conductivity is k=0.8W/m 2 ·°C. The temperature of the inner and outer surfaces of the roof one night are measured to be 12°C and 1°C, respectively, for a period of 12 hours. Determine a) the rate of heat loss through the roof that night b) the cost of that heat loss to the home owner if the cost of electricity is $0.14/kWh.

University Physics Volume 2
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ISBN:9781938168161
Author:OpenStax
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Chapter1: Temperature And Heat
Section: Chapter Questions
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The roof of an electrically heated home is 12m long, 16m wide, and 0.50m
thick, and is made of a flat layer concrete whose thermal conductivity is
k=0.8W/m 2 ·°C. The temperature of the inner and outer surfaces of the roof
one night are measured to be 12°C and 1°C, respectively, for a period of 12
hours. Determine a) the rate of heat loss through the roof that night b) the
cost of that heat loss to the home owner if the cost of electricity is
$0.14/kWh.

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