Question

In: Physics

Calculate the critical radius of the core of a spherical thermal reactor moderated by graphite both...

Calculate the critical radius of the core of a spherical thermal reactor moderated by graphite both with and without (bare) an infinite reflector of graphite to show reflector savings. The reactor (at room temp.) is fueled with 235U at a concentration of 4.0 x 10-4 gm/cm3

Solutions

Expert Solution

given concentration that is density = 4 10-4 g / cc

the relation of critical mass and critical radius is   

critical mass mc = fuel concentration volume 4   10-4   ( 4 / 3 ) Rc3

critical radius Rc3 ( 3 0.0034 ) / (0.0004 4 )   ( 0.0102 / 0.005024 )   2.3025477

   Rc   ( 2.3025477 )1/3 = 1.2662424 cm .


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