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 $\cdot$ K, and the Styrofoam has $k$ = 0.027 W /m $\cdot$ K. The interior surface temperature is 19.0$^\circ$C, and the exterior surface temperature is -10.0$^\circ$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?