1. State the problem A plane wall consisting of three different materials, each of constant thermal conductivity k. Assume steady-state temperature distribution. a) Comment on relative magnitudes of q(dot)''2 and q(dot)''3 and of q(dot)''3 and q(dot)''4. b) Comment on the relative magnitudes of kA and kB and of kB and kC. c) Sketch the heat flux as a function of x. 2. Relevant equations q'' = -k dT/dX d2T/(dx)2 = 0 for A and B d2T/(dx)2 = -Qgen/k for c 3. The attempt at a solution a) I will assume that q(dot)'' = q'' (not sure why they wrote q(dot)'', but in the graph it's just q''). Steady state and no heat generation in A and B means that q''2=q''3. In C, the parabola indicates that there's some heat generation occurring, thus q''3<q''4. b) Since q''2=q''3 ⇒ kA / kB = Δx12⋅ΔT23 / Δx23⋅ΔT12 kB / kC = ??? d) Horizontal line through A and B somewhere below the x-axis. Through C I'm not certain. It should be 0 at T4 and the highest at T3.