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(Solved): You have a cabin on the plains of central Saskatchewan. It is built on a 14.5-m14.5-m by 12.5-m12.5- ...



You have a cabin on the plains of central Saskatchewan. It is built on a 14.5-m14.5-m by 12.5-m12.5-m rectangular foundation with walls 3.00 m3.00 m tall. The wooden walls and flat roof are made of white pine that is 14.5 cm14.5 cm thick. To conserve heat the windows are negligibly small. The floor is well insulated, so you lose negligible heat through it. The cabin is heated by an electrically powered heat pump operating on the Carnot cycle between the inside and outside air. Assume that the surfaces of the walls and roof are at the same temperature as the air with which they are in contact and neglect radiation. The value of thermal conductivity for white pine is 0.120 W·m−1·K−1.0.120 W·m−1·K−1.

When the outside temperature is a frigid −10.0∘F,−10.0∘F, how much electrical energy |????||�| does the heat pump consume per second to keep the interior temperature a steady and toasty 75.0∘F?75.0∘F?




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