A factory has a sheet metal wall with a thermal conductivity of 105 Btu/h?ft? °F. The wall thickness is 1 inch.
(a) If the inside temperature of the wall is 80.0°F and the outside temperature of the wall is 10.0°F, determine the heat transfer rate per unit area from conduction (the conductive heat flux) for the wall.
(b) For an inside wall temperature of 10.0°F, plot the conductive heat flux through the wall for outside wall temperatures ranging from 90.0°F to 0.0°F.
(c) For an outside wall temperature of 10.0°F, plot the conductive heat flux for inside wall temperatures ranging from 50.0°F to 85.0°F. Discuss how this relates to gaining cost savings by heating a building to a lower temperature in the winter.
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