Acabin 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 –16.4°c. what is the rate of heat conduction through the wooden floor?

[/tex] 408.8[/tex]

Explanation:

= thickness of the floor = 0.159 m

= thermal conductivity of wooden floor = 0.141 Wm⁻¹ ⁰C⁻¹

= Temperature of the interior of the cabin = 18.0 ⁰C

= Temperature of the air below the cabin = - 16.4 ⁰C

Difference in temperature is given as

= Difference in temperature = ⁰C

= Area of the floor = 13.4 m²

= Rate of heat conduction

Rate of heat conduction is given as

W

ingenuity says that the answer is 2.7 m.