  A single pane of glass in an old home measures 1.14 m by 0.6 m and is 0.01 m thick. During a cold winter night (10 hours), the temperature on the outside measures -8.6 degrees Celsius and the temperature on the inside measures 20.6 degrees Celsius. If the coefficient of thermal conducitivity is 1.7 W/(K m^2), how much heat is lost?

Question

A single pane of glass in an old home measures 1.14 m by 0.6 m and is 0.01 m thick. During a cold winter night (10 hours), the temperature on the outside measures -8.6 degrees Celsius and the temperature on the inside measures 20.6 degrees Celsius. If the coefficient of thermal conducitivity is 1.7 W/(K m^2), how much heat is lost?

Step 1

Given thermal conductivity of the wall k =1.7 W/mK.

Given length and breadth of the wall as 1.14 m and 0.6 m

Thickness of the wall t = 0.01 m

Area of the wall through which heat flows is = 1.14m*0.6 m  = 0.684 m2

Step 2

We can find the rate of heat transfer by using Fourier’s Law of heat conduction

Step 3

Substituting the given data i...

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