(Solved): Consider a finite spherical reactor of radius R surrounded by an infinite reflector. The core has un ...

Consider a finite spherical reactor of radius

surrounded by an infinite reflector. The core has uniform source distribution of S neutrons

. The diffusion coefficient and macroscopic absorption cross section are

and

, respectively while the ones for the reflector are

and

, respectively. Please answer the following questions: a. Find the flux distribution in the core and reflector. b. Find the net leakage probability from the core.