A reactor of volume 25 cubic meters operates at a power of 1100 MW(e) with an efficiency of 33%. The reactor is fueled with 95 metric tons of uranium enriched to 3.0 w/o in 235U. Assume 200 MeV is released per fission, the 235U fission cross section is 470 b, and the atomic weight of the uranium fuel is 238 g/mol. What is the number density (atoms/m3) of 235U in the reactor?