Problem Description

On a winter night, the heater unit in George's apartment broke. He woke up because of the coldness, and he wondered how much heat was being lost through the large glass window in his bedroom. The inner surface temperature of the glass window is 20^oC while the outer surface temperature is 5^oC. The window glass has a thickness of 2 cm.

Obtain the temperature profile of the glass window, and determine the amount of heat conducted (per unit area) through it using Fourier's law.

• Fourier's law of conduction is given by:
       q = -kA dT/dx
• Take the thermal conductivity of the glass (k) as 0.8 W/m-K.
• Assume the temperature varies across the glass only (i.e., one-dimensional), and is steady-state.