A rectangular glass window pane on a house has a width of 1.0 m, a height of 2.0 m, and a thickness of 0.40 cm. Find the energy transferred through the window by conduction in 12 hours on a day when the inside temperature of the house is 22°C and the outside temperature is 2.0°C. Take surface air layers into consideration.

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Asked Dec 25, 2019
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A rectangular glass window pane on a house has a width of 1.0 m, a height of 2.0 m, and a thickness of 0.40 cm. Find the energy transferred through the window by conduction in 12 hours on a day when the inside temperature of the house is 22°C and the outside temperature is 2.0°C. Take surface air layers into consideration.

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Expert Answer

Step 1

Resistance of the glass pane is:

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pane Rpane k. pane 0.40 cm 0.80 W/m2 . °C) 1 m (0.40 cm) 100 cm (0.80 W/m² .°C) = 0.005 m? . °C/W

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Step 2

The resistance of the air layer is 0.030 m2.⁰C/W.

 Equivalent thermal resistance when air layers are taken into consideration is:

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Rptal = R Rotal = Rpane + 2Rir = 0.0050 m? . °C/W +2x0.030 m2 . °C / W = 0.0650 m? . °C/W

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Step 3

Now formula for the hea...

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(Т, — т.) Q = A R. total (22°C – 2°C) = (1.0 m)(2.0 m) 0.0650 m2 . °C/W = 620 W

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