Wooden Floor Heat
Physics math problem, having trouble, please if you can provide an answer and steps thank you.?
A cabin has a 0.159-m thick wooden floor [k = 0.141 W/(m • C°)] with an area of 13.4 m2. A roaring fire keeps the interior of the cabin at a comfortable 18.0 °C while the air temperature in the crawl space below the cabin is –20.6 °C. What is the rate of heat conduction through the wooden floor?
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Thickness of wooden floor = dx =0.159 m
Co eff.of thermal conductivity = k = 0.141 W/(m • C°)
Area = A = 13.4 m2
Temperature difference= dT =18 - (-20.6)=38.6 degree C
Rate of heat flow = kAdT /dx
Rate of heat flow = 0.141 *13.4*38.6 / 0.159 =458.6845 J/s
The rate of heat conduction through the wooden floor is 458.6845 J/s
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