A wall in a house contains a single window. The windowconsists of a single pane

Question

A wall in a house contains a single window. The windowconsists of a single pane of glass whose area is 0.16 m2 and whosethickness is 2.0 mm. Treat the wall as a slab of the insulatingmaterial Styrofoam whose area and thickness are 18 m2 and 0.10 m,respectively. Heat is lost via conduction through the wall and thewindow. The temperature difference between the inside and outside is thesame for the wall and the window. Of the total heat lost by thewall and the window, what is the percentage lost by thewindow? A wall in a house contains a single window. The windowconsists of a single pane of glass whose area is 0.16 m2 and whosethickness is 2.0 mm. Treat the wall as a slab of the insulatingmaterial Styrofoam whose area and thickness are 18 m2 and 0.10 m,respectively. Heat is lost via conduction through the wall and thewindow. The temperature difference between the inside and outside is thesame for the wall and the window. Of the total heat lost by thewall and the window, what is the percentage lost by thewindow?

Explanation / Answer

Since the heat will scale directly with the difference intemperature, I will use 1 for the temp difference, as we only wantthe ratio of glass to styrofoam.
Glass: .16 m2 and 2E-3 m thick. m2/m = .08E3 = 80 (watts/degree)
Foam: 18 m2 and .1 m thick. m2/m = 180.
So the foam transfers 2.25 as much heat as the glass. Ofcourse, the area is more than 100 times larger.

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