(40 points) A large slab thermal reactor, moderated and reflected by a reflector of graphite of thickness b = 600 cm, is fueled with 235U at a concentration of 2 x 104 g/cm and operates at a thermal power density P of 1 kW/cm. 1) (15) Calculate the critical thickness of the core. 2) (5) Compute what the critical thickness is if the reactor is bare. 3) (5) Compute the reflector savings & for the reactor from its definition and compare the computed value against the estimate obtained from the simplified expression for the reflector savings. 4) (15) Plot the scalar flux in the core and reflector regions. Make calculations at room temperature and use a(Eo) = 681 b and g(E) = 582 b for 23SU