A carpenter builds an exterior house wall with a layerof wood 3.0 cm thick on the outside and a layer of Styrofoam insulation2.2 cm thick on the inside wall surface. The wood hask = 0.080 W/m . K, and the Styrofoam has k = 0.027 W /m . K. Theinterior surface temperature is 19.0°C, and the exterior surface temperatureis -10.0°C. (a) What is the temperature at the plane wherethe wood meets the Styrofoam? (b) What is the rate of heat flow persquare meter through this wall?

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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 19.0°C, and the exterior surface temperature
is -10.0°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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