In a house the temperature at the surface of a window is 22.7 In a house the tem

Question

In a house the temperature at the surface of a window is 22.7  

In a house the temperature at the surface of a window is 22.7 degree C. The temperature outside at the window surface is 1.63 degree C. Heat is lost through the window via conduction, and the heat lost per second has a certain value. The temperature outside begins to fall, while the conditions inside the house remain the same. As a result, the heat lost per second increases. What is the temperature in degrees Celsius at the outside window surface when the heat lost per second doubles?

Explanation / Answer

Th = 22.7
Tc = 1.63

Q/t = KA( Th - Tc) / D initially

2Q/2 = KA ( Th - Tc" ) / D after some time, rate doubles

dividing both eqns

1/2 = 22.7 - 1.63 / 22.7 - Tc"

Tc" = 19.44   

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