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=0.080W/m⋅K, and the Styrofoam has k=0.027W/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?