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

Question

Consider a double-paned window consisting of two panes of glass,each with a thickness of 0.500 cm and an area of 0.605 m2, separated by a layer of air witha thickness of 1.95 cm. The temperature onone side of the window is 0.00°C; the temperature on the otherside is 20.0°C. In addition, note that the thermal conductivityof glass is roughly 36 times greater than that of air. a) Approximate the heat transfer through thiswindow by ignoring the glass. That is, calculate the heat flow persecond through the 1.95 cm of air with atemperature difference of 20.0 C°. (The exact result for thecomplete window is 14.3 J/s.) Express youranswer with three significant digits.
______________? J/s

(b) Use the approximate heat flow found in part (a) to find anapproximate temperature difference across each pane of glass. (Theexact result is 0.141 C°.) Expressyour answer with three significant digits.
____________?C° a) Approximate the heat transfer through thiswindow by ignoring the glass. That is, calculate the heat flow persecond through the 1.95 cm of air with atemperature difference of 20.0 C°. (The exact result for thecomplete window is 14.3 J/s.) Express youranswer with three significant digits.
______________? J/s

(b) Use the approximate heat flow found in part (a) to find anapproximate temperature difference across each pane of glass. (Theexact result is 0.141 C°.) Expressyour answer with three significant digits.
____________?C°

Explanation / Answer

(a)           Q /t   = k A [ T /L ]                    = 0.0234 * 0.605 [ 20oC / 0.00195]                    = 145.2 J /s (b)       T = ( Q / t) ( L / kA )              =145.2 * ( 0.005 / 0.84 * 0.605 )             = 1.43o C Hope this helps u!

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