Three surfaces form a 3-surface enclosure. the surfaces have the following properties. surface 1: a1 1 m2. f11 0. f12 = 0.2. ti 300 k. surface 2: a2 0.8 m2. f22 = 0. t2 = 400 k. surface 3: f32 0.3. all temperatures are constant and uniform. a. determine all unknown view (shape) factors and areas [4] b. determine the rate of heat transfer between surface 1 and 2, q12 if all three surfaces are black bodies [2] c. determine the temperature of surface 3, t3, if all three surfaces are black bodies and the net rate of heat transfer from surface 3 is qa 2018 w 3] for parts d, e, f and g assume all three surfaces are grey bodies with emissivities of & 1 0.1 e2 0.5 and e3 0.7. q"3 1009 w/m2 and ja w/m2 d. determine the radiosities of surface 1 and surface 2. [7] e. determine the rate of heat transfer between surface 1 and 3, q13. f. determine the net rate of heat transfer from surface 1. 1] g. determine the temperature of surface 3, t3. 21