Question

Calculate the rate of heat flow by conduction through a glass window 2.0 m × 1.5 m in area and â„" = 3.6 mm thick (Figure 1), if the temperature at the inner and outer surface is 15.0 ∘C . Assume that there are strong gusty winds and the external temperature is -5.0 ∘C

Answer 1

The rate of heat flow through the glass window is 402.5 W.

Step-by-step explanation:

To calculate the rate of heat flow by conduction through a glass window, we use the formula:

Q = k * A * ΔT / d

Where Q is the rate of heat flow, k is the thermal conductivity of the material, A is the area of the window, ΔT is the temperature difference across the window, and d is the thickness of the window.

Plugging in the given values, we have:

Q = (k * A * ΔT) / d = (1.38 W/m·K * (2.0 m * 1.5 m) * (15.0 °C - (-5.0 °C))) / (3.6 mm)

Converting mm to m, we get:

Q = (1.38 W/m·K * (2.0 m * 1.5 m) * (15.0 °C - (-5.0 °C))) / (3.6 × 10^-3 m) = 402.5 W