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Width, height, thickness and thermal conductivity of a single pane window and the air space of a double pane window. Representative winter surface temperatures of single pane and air space. FIND: Heat loss through single and double pane windows.

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okpalawalter8

Complete Question

The schematics is shown on the first uploaded image

Answer:

For single pane is  [tex]Q =1.96 *10^{4}} \ W [/tex]  

For  double pane is  [tex]Q_2 = 120 \ W [/tex]

Explanation:

Generally the heat loss through  a single pane is mathematically represented by  Fourier’s law as

      [tex]Q  =  k_g *  H^2  *  \frac{ T_1 - T_2 }{L}[/tex]

=>    [tex]Q = 1.4 * 2^2 * \frac{ 15 -(-20) }{ 5 * \frac{1 \ m}{1000 \ mm}}[/tex]

=>    [tex]Q =1.96 *10^{4}} \ W [/tex]        

Generally the heat loss through  a double pane is mathematically represented by  Fourier’s law as

      [tex]Q_2  =  k_a *  H^2  *  \frac{ T_1 - T_2 }{L}[/tex]

=>    [tex]Q_2 = 0.024 * 2^2 * \frac{ 10 -(-15) }{ 10 * \frac{1 \ m}{1000 \ mm}}[/tex]

=>    [tex]Q_2 = 120 \ W [/tex]  

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