Question

Calculate the rate of heat conduction through a double-paned window that has a 1.50-m2 area and is made of two panes of 0.800-cm-thick glass separated by a 1.00-cm air gap. The inside surface temperature is 15.0°C, while that on the outside is −10.0°C. (Hint: There are identical temperature drops across the two glass panes. First find these and then the temperature drop across the air gap. This problem ignores the increased heat transfer in the air gap due to convection.)

(b) Calculate the rate of heat conduction through a 1.60-cm-thick window of the same area and with the same temperatures. Compare your answer with that for part.

Answer 1

To calculate the rate of heat conduction through a double-paned window, subtract the inside temperature from the outside temperature to find the temperature drops across each glass pane, and find the temperature drop across the air gap. Then, use the formula Q = k * A * ΔT / d to calculate the rate of heat conduction for each window. Compare the results for the two windows using the same formula and given values.

Step-by-step explanation:

To calculate the rate of heat conduction through a double-paned window, we can use the formula:

Q = k * A * ΔT / d

Where:

• Q is the rate of heat conduction
• k is the thermal conductivity of the material
• A is the area of the window
• ΔT is the temperature difference
• d is the thickness of the window

First, find the temperature drop across each glass pane by subtracting the inside temperature from the outside temperature. The temperature drop across the air gap is the difference between the two temperature drops. Then, calculate the rate of heat conduction for each window using the given values and the formula. To compare the two windows, calculate the rate of heat conduction for the second window with a thickness of 1.60 cm using the same formula.