only part c

b) ( 20 points) It is conventional to define the difference between bare and reflected core dimensions as the reflector savings =2a~(bare)2a(reflected) Derive an expression for the reflector savings of the reflected slab reactor. Verify that for a thick reflector the expression for the reflector savings simplifies to DrDcLr (c) (40 points) A large slab thermal reactor, moderated and reflected by a reflector of graphite of thickness b=600cm, is fueled with 235U at a concentration of 2104g/cm3 and operates at a thermal power density P of 1kW/cm2. 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(E0)=681b and f(E0)=582b for 235U