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Comparing Single-Pane and Double-Pane Heat Loss Ratios
Chapter 17, Problem 17.109(choose chapter or problem)
Compute the ratio of the rate of heat loss through a single-pane window with area \(0.15 \mathrm{~m}^{2}\) to that for a double-pane window with the same area. The glass of a single pane is 4.2 mm thick, and the air space between the two panes of the double-pane window is 7.0 mm thick. The glass has thermal conductivity \(0.80 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}\). The air films on the room and outdoor surfaces of either window have a combined thermal resistance of \(0.15 \mathrm{~m}^{2} \cdot \mathrm{K} / \mathrm{W}\).
Questions & Answers
QUESTION:
Compute the ratio of the rate of heat loss through a single-pane window with area \(0.15 \mathrm{~m}^{2}\) to that for a double-pane window with the same area. The glass of a single pane is 4.2 mm thick, and the air space between the two panes of the double-pane window is 7.0 mm thick. The glass has thermal conductivity \(0.80 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}\). The air films on the room and outdoor surfaces of either window have a combined thermal resistance of \(0.15 \mathrm{~m}^{2} \cdot \mathrm{K} / \mathrm{W}\).
ANSWER:Step 1 of 4
Given, area \(A=0.15 \mathrm{~m}^{2}\)
\(\begin{array}{l}
L_{\text {glass }}=4.2 \mathrm{~mm}=4.2 \times 10^{-3} \mathrm{~m} \\
L_{\text {air }}=7.0 \mathrm{~mm}=7.0 \times 10^{-3} \mathrm{~m} \\
K_{\text {glass }}=0.80 \mathrm{~W} / \mathrm{m} . \mathrm{K} \\
K_{\text {air }}=0.024 \mathrm{~W} / \mathrm{m} . \mathrm{K}
\end{array}\)
Combined thermal resistance \(R=0.15 \mathrm{~m}^{2} \cdot K / W\)
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Comparing Single-Pane and Double-Pane Heat Loss Ratios
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Explore the world of thermal insulation and heat loss in this video. We compare single-pane and double-pane windows, calculating the heat loss ratio. Delve into the fascinating science of heat transfer and insulation factors. Join us to uncover the secrets behind energy-efficient windows.