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

Expert Solution

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

the relation of critical mass and critical radius is

critical mass m_c = fuel concentration volume 4 10^-4 ( 4 / 3 ) R_c³

critical radius R_c³ ( 3 0.0034 ) / (0.0004 4 ) ( 0.0102 / 0.005024 ) 2.3025477

R_c ( 2.3025477 )^1/3 = 1.2662424 cm .

genius_generous answered 1 year ago

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