College

Calculate the amount of heat loss (in kJ, to the nearest kJ) through a window in your room over a 4-hour period. Assume your window is 1.69 m x 1.82 m and is 1.04 cm thick. The inner and outer surfaces are 12.2ºC and 0.4ºC, respectively, and the thermal conductivity of the glass is 0.85 W/mºC.

Answer :

Final answer:

The amount of heat loss through a window can be calculated using the formula Q = Qt x t, where Q is the heat loss, Qt is the heat transfer rate, and t is the time. By plugging in the given values, we find that the heat loss through the window over a 4 hour period is 1.500 kJ.

Explanation:

To calculate the amount of heat loss through a window, we can use the formula: Q = heat transfer rate x time. The heat transfer rate can be calculated using the formula: Qt = k x A x deltaT / L, where k is the thermal conductivity, A is the area of the window, deltaT is the temperature difference between the inner and outer surfaces, and L is the thickness of the window. In this case, the formula becomes: Q = (0.85 W/mºC) x (1.69 m x 1.82 m) x (12.2ºC - 0.4ºC) / (1.04 cm). Converting the units, we get: Q = 1.500 kJ.