3) (40pts) Energy Efficiency of a Composite House Wall We already know that energy leaks through windows is a big issue, but energy can also be lost (or conserved) with the

design of the composite house wall. Let us calculate the energy efficiency of a typical composite house wall that is constructed of several materials (from outside to inside with L=5 cm): Brick (1.5L), Styrofoam (L), Air Space (0.5L), and Wood Paneling (0.1L). T (inside) = 18°C T(outside) = -40°C (Minnesota with wind chill!) h (inside) = 10 W/m²-K; h (outside) = 100 W/m²-K Material Properties Brick: k=0.66 W/m-K, Styrofoam: k = 0.033 W/m-K, Air: k = 0.025 W/m-K Wood Panel: k = 0.21 W/m-K a) Make an accurate sketch of the problem and clearly label all components. b) Show the form of each resistance term and rank them in importance. c) Calculate the overall heat flux (q/A). d) Accurately sketch the expected temperature profile through the composite wall e) If this were your home and you wanted to improve Energy Efficiency, what would you do? Explain with specific reference to your wall and the various resistance values.