Answer these:

An array of M = 48 thermoelectric modules is installed on the exhaust of a sports car. Each module has an effective Seebeck coefficient of Spres = 0.1435 V/K, and an internal electrical resistance of Ree = 4 0. In addition, each module is of width and length W = 54 mm and con- tains / = 100 pairs of semiconducting pellets. Each pellet has an overall length of 24 = 5 mm and cross-sectional area A,, = 1.2 X 10"m and is characterized by a thermal conductivity of k, = 1.2 W/m . K. The hot side of each module is exposed to exhaust gases at Too,1 = 550"C with hi = 40 W/m' . K, while the opposite side of each module is cooled by pressurized water at To2 = 105"C with h2 = 500 W/m" . K. If the modules are wired in series, and the load resistance is Reload = 400 0, what is the electric power harvested from the hot exhaust gases? Pressurized water T_2 - 105.C h2 - 500 W/m-.K 21 - 5 mm Exhaust gas - 550.C h, - 40 W/m2.K W W - 54 mm M - 48 thermoelectric modules N - 100 pellet pairs\fIn a manufacturing process, a transparent film is being bonded to a substrate as shown in the sketch. To cure the bond at a temperature To, a radiant source is used to pro- vide a heat flux qo (W/m?), all of which is absorbed at the bonded surface. The back of the substrate is main- tained at 7, while the free surface of the film is exposed to air at To and a convection heat transfer coefficient h. Air 90 Ly = 0.25 mm Film ky = 0.025 W/m.K Ly = 1.0 mm Bond, To k, = 0.05 W/m-K Substrate (a) Show the thermal circuit representing the steady-state heat transfer situation. Be sure to label all elements, nodes, and heat rates. Leave in symbolic form. (b) Assume the following conditions: To. = 20 C, h = 50 W/m . K, and 71 = 30 C. Calculate the heat flux go that is required to maintain the bonded surface at To = 60 C. (c) Compute and plot the required heat flux as a function of the film thickness for 0 S Ly = 1 mm. (d) If the film is not transparent and all of the radiant heat flux is absorbed at its upper surface, determine the heat flux required to achieve bonding. Plot your results as a function of Ly for 0 = Ly = 1 mm.\f\f