A cool early spring breeze passes over the roof of a poorly-insulated home. The surface area of the roof is 250 m2, and the temperature of the roof is maintained at 20°C from heat escaping the house. The air temperature is 5.0°C, and the convective heat transfer coefficient is 12.0 W/m2-K. Determine the rate of convective heat transfer from the roof.

Given: A = 250 m2; Tf = 5.0°C; Ts = 20°C; h = 12.0 W/m2-K

What will be an ideal response?


Qconv = hA(Tf -Ts) = (12.0 W/m2-K)(250 m2)(5°C - 20°C) = 45,000 W = -45.0 kW
Heat is lost from the roof to the air.

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