The outside of the heating tape is insulated (see figure below), while the inside is attached to one face of a 2-cm-thick stainless-steel plate. Assume the conductivity of the plate to bek=22.2 W/(m ∘ C). By hand calculations and using 3 one-dimensional elements: (a) Determine the temperature of the plate face to which the heating tape is attached if heat is supplied through the heating tape at a rate500 W/m^2and the outside surface of the plate is maintained atT s =80 ∘ C. (b) Determine the required heat flux (from the heating tape) to maintain the heating tape face of the plate at120 ∘ Cif the outer face is exposed to the surroundings which are at a temperature of20 ∘ Candh=5 W/(m^2∘ C)