Consider a double-paned window consisting of two panes of glass, each with a thi

Question

Consider a double-paned window consisting of two panes of glass, each with a thickness of 0.550cm and an area of 0.745m^2 , separated by a layer of air with a thickness of 1.65cm . The temperature on one side of the window is 0.00C ; the temperature on the other side is 22.0C. In addition, note that the thermal conductivity of glass is roughly 36 times greater than that of air. (a)Approximate the heat transfer through this window by ignoring the glass. That is, calculate the heat flow per second through 1.65cm of air with a temperature difference of 22.0c . (The exact result for the complete window is 22.8J/s .) (b)Use the approximate heat flow found in part A to find an approximate temperature difference across each pane of glass. (The exact result is 0.201C .)

Explanation / Answer

a)Q/t =kA(T/L)

Q/t =(0.0234 W/m.K)(0.745m2)(22 C0/1.65*10-2m) =23.24J/s

b)T=(Q/t)(L/KA)

T=(23.24)(0.55*10-2/0.84*0.745)=0.204 Co

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