Problem $4$: Heat loss through thermopane double window. A double window called thermopane is one in which two layers of glass are separated by a layer of dry, stagnant air. In a given window, each glass layer is $6\mathrm{.}35$ mm thick and separated by $6\mathrm{.}35$ mm $.$ K for glass and air respectively and independent of temperature are $0\mathrm{.}869\frac{W}{m}.K$ and $0\mathrm{.}026\frac{W}{m}.K,$ respectively.

A$)$ Ignore convection between windows and between outside and windows and for a total temperature drop across the window of $27\mathrm{.}8$ K $,$ calculate the heat loss for a window that is $0\mathrm{.}914m1\mathrm{.}83m.$

B$)$ Now, we will not ignore the convection in the air layer between windows. If the outside temperatures of the glass windows facing the atmosphere are $310$ K and $282\mathrm{.}2$ K $(T=27\mathrm{.}8K)$ and using a heat of $360$ W $,$ calculate the side temperatures of the windows facing the air layer.

C$)$ In B$,$ if the heat transfer coefficient of air was given as $h=4\mathrm{.}08\frac{W}{m^2}.K,$ compare the magnitudes of convection and conduction in the air layer? Which mechanism dominate?

D$)$ how does the total heat calculated for air compares for the $360$ W given to you? Why are they different?

E$)$ Represent the systems in $1$ and $2$ using resistances. Calculate an equivalent overall resistance for each system

F$)$ Modify your resistance plot to account for convection to atmospheric air from both windows? Calculate an equivalent overall resistance for the new system.