Chapter 13, Problem 10 GO A wall in a house contains a single window. The window

Question

Chapter 13, Problem 10 GO A wall in a house contains a single window. The window consists of a single pane of glass whose area is 0.11 m2 and whose thickness is 7 mm. Treat the wall as a slab of the insulating material Styrofoam whose area and thickness are 15 m2 and 0.15 m-repectively. Heat is lost via conduction through the wall and the window. The temperature difference between the inside and outside is the same for the wall and the window. Of the total heat lost by the wall and the window, what is the percentage lost by the window? Units Percentage lost by window Number the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work

Explanation / Answer

The equation for the rate of the conduction of heat is

P = kA del T/ L

percentage = ( Q _ window/ Q_wall + Q _window) 100 %

= (k_G A_G del T t/ L_G/ks A_s del Tt/ L_s+  k_G A_G del T t/ L_G)100 %

= ( k_GAG/L_G/ k_sAs/Ls + k_G A_G/ L_G) 100 %

= ( 0.80 ( 0.11)/7.0 * 10^-3 / 0.010 ( 15)/0.15 + 0.80 ( 0.11)/7.0 * 10^-3) 100 %

=92.63 %

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