Question: Consider a sphere of uranium (density 19.1 g=cm3) with the following composition: 235U97.6 at% and 238U 2.4 at%. Use the diffusion theory to determine: (a)

Consider a sphere of uranium (density 19.1 g=cm3) with the following composition: 235U97.6 at% and 238U 2.4 at%. Use the diffusion theory to determine:

(a) the critical radius of the sphere with vacuum boundary conditions;

(b) the reflector saving when the sphere is surrounded by water (1.0 g=cm3)—assume infinite reflector.

Use the following data.

Element Sigma_cap(b) Sigma_f (b) Sigma_tr (b) v
235U 0.15 1.25 5.03 2.60
238U 0.10 0.21 5.73 2.80
H2O 0.13 - 16.68 -

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