Consider an electrically heated brick house (k = 0.40 Btu/h·ft·°F) whose walls are 9 ft high and 1 ft thick. Two of the walls of the house are 50 ft long and the others are 35 ft long. The house is maintained at 70°F at all times while the temperature of the outdoors varies. On a certain day, the temperature of the inner surface of the walls is measured to be at 55°F while the average temperature of the outer surface is observed to remain at 45°F during the day for 10 h and at 35°F at night for 14 h. Determine the amount of heat lost from the house that day. Also determine the cost of that heat loss to the home owner for an electricity price of $0.09/kWh.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter21: Heat And The First Law Of Thermodynamics
Section: Chapter Questions
Problem 71PQ
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Consider an electrically heated brick house (k =
0.40 Btu/h·ft·°F) whose walls are 9 ft high and 1 ft thick.
Two of the walls of the house are 50 ft long and the others
are 35 ft long. The house is maintained at 70°F at all
times while the temperature of the outdoors varies. On a certain
day, the temperature of the inner surface of the walls is
measured to be at 55°F while the average temperature of the
outer surface is observed to remain at 45°F during the day
for 10 h and at 35°F at night for 14 h. Determine the amount
of heat lost from the house that day. Also determine the cost
of that heat loss to the home owner for an electricity price of
$0.09/kWh.

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