Diagram below. Questions on next page. A planar, multilayer window structure is shown below. The lengths into the page and in the vertical direction are uniform, and unknown (not needed). The left-hand side of the structure is exposed to a fluid (medium A) at T,A=70C, which is associated with convection heat transfer coefficient hA=10W/m2K. The right-hand side of the structure is exposed to a fluid (medium E ) at T,E=50C, which is associated with convection heat transfer coefficient hE=10W/m2K. The left surface (surface 1) is covered with a very thin heating tape where an external energy flux is supplied (qe). The tape has no volume and energy is provided directly at surface 1. The multilayer structure is comprised of two solid layers (media B and D) with an air gap in between (medium C ). The interfaces (ideal) and surfaces, labeled 1,2,3, and 4, have uniform temperatures T1,T2,T3, and T4, respectively. The layer thicknesses and thermal conductivities are given in the table beneath the drawing. The linearized radiation heat flux across the air gap (medium C ) bound by two surfaces 2 and 3 can be approximated as qrad=hrad(T3T2), where hrad=4Tavg3 (emissivity =1 assumed). Tavg may be taken as 430K. No convection heat transfer occurs through medium C. Stefan-Boltzmann constant =5.67108W/m2K4. Assume T(K)=T(C)+273. (a) Sketch the thermal circuit for the system, labeling all the thermal resistances and temperatures, using variables given. (b) Write an expression for the total thermal resistance between medium A and medium E, in terms of variables given. (c) Now quantify the thermal resistances per unit area (m2K/W) for each of the media (AE), using the values given in the drawing. (d) Calculate the heat input to the tape per unit area (qe, with units of W/m2) required to maintain the temperature of surface 4 at T4=55C, if the system is operating at steady state. (e) Based on information determined in the steps above, calculate the temperature of surface 2 (temperature T2 )