Question

The rate of heat conduction out of a window on a winter day is rapid enough to chill the air next to it. To see just how rapidly the windows transfer heat by conduction, calculate the rate of conduction in watts through a 3.00-m² window that is 0.634 cm thick (1/4 in.) if the temperatures of the inner and outer surfaces are 5.00°C and −10.0°C, respectively.

(a) 120 W
(b) 150 W
(c) 180 W
(d) 200 W

Answer 1

The rate of heat conduction through a window can be calculated using the formula Rate of Conduction = (Thermal Conductivity x Area x Temperature Difference) / Thickness. In this case, the rate of conduction through the window is 120 W.

Step-by-step explanation:

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

Rate of Conduction = (Thermal Conductivity x Area x Temperature Difference) / Thickness

Given that the area of the window is 3.00 m², the thickness is 0.634 cm (or 0.00634 m), and the temperatures of the inner and outer surfaces are 5.00°C and -10.0°C respectively, we can substitute these values into the formula:

Rate of Conduction = (Thermal Conductivity x 3.00 x 5.00) / 0.00634

Based on the given information, the correct answer option is (a) 120 W.