2. A flat plate of a polymer (k = 1.1 W/m K) will be cured using microwave radiation. The plate has a thickness 5 = 5 cm and it is exposed to flowing air at a temperature Too on both its top and bottom surfaces (see figure). The microwave radiation will be absorbed by the polymer at a uniform rate per unit volume Er. (a) Find the steady state temperature profile in the flat plate, T(x), in terms of Er, o, h, k and T.. (b) To cure the polymer, it is necessary to keep its temperature at or above To = 190 C everywhere, but its temperature cannot exceed its melting point, Tm = 250 C. Find the microwave power required per unit volume (Er), and the air temperature (T.) that must be used to cure the polymer. Air, T. h = 55 W/mK *1 Polymer 8 = 5 cm h= 55 W/ mK Air, T