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A carpenter builds an exterior house wall with a layer of
Chapter 17, Problem 65E(choose chapter or problem)
A carpenter builds an exterior house wall with a layer of wood 3.0 cm thick on the outside and a layer of Styrofoam insulation 2.2 cm thick on the inside wall surface. The wood has k = 0.080 W/m ? K, and the Styrofoam has k = 0.027 W/m ? K. The interior surface temperature is 19.0o C, and the exterior surface temperature is - 10.0o C. (a) What is the temperature at the plane where the wood meets the Styrofoam? (b) What is the rate of heat flow per square meter through this wall?
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QUESTION:
A carpenter builds an exterior house wall with a layer of wood 3.0 cm thick on the outside and a layer of Styrofoam insulation 2.2 cm thick on the inside wall surface. The wood has k = 0.080 W/m ? K, and the Styrofoam has k = 0.027 W/m ? K. The interior surface temperature is 19.0o C, and the exterior surface temperature is - 10.0o C. (a) What is the temperature at the plane where the wood meets the Styrofoam? (b) What is the rate of heat flow per square meter through this wall?
ANSWER:Solution 65E Step 1 of 4: The pictorial representation of the given problem, Given data, a = 0.03 m thickness of the wood layer k w 0.08 W/m.K thermal conductivity of wood T = - 10°C = 263 K outside temperature 0 b = 0.022 m thickness of styrofoam k s 0.027 W/m.K thermal conductivity of styrofoam T = 19°C = 292 K inside temperature i T = temperature at contact point wood - styrofoam x