6. (20 points) The JEZEBEL reactor [formerly at Los Alamos National Laboratory (LANL) and now in Nevada] is composed of a bare, plutonium metal sphere. You are told that the plutonium has a density of 19.8-g/cm and an atomic mass of 239.0- g/mole. A physicist friend of yours tells you that the plutonium metal for the sphere has the following properties: a. Macroscopic Fission Cross Section (+) = 0.480-cm-. b. Macroscopic Absorption Cross Section () = 0.600-cm-1. c. Number of Neutrons Per Fission (v) = 2.87-neuts/fission.