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Exercise S. [10 pts] Consider a homogeneous slab of thickness 2L, placed in a vacuum. You can assume that 1-g diffusion is valid; use zero-flux

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Exercise S. [10 pts] Consider a homogeneous slab of thickness 2L, placed in a vacuum. You can assume that 1-g diffusion is valid; use zero-flux boundary conditions at the slab extremities and neglect the extrapolated distance. The kinf value for the material that makes up the slab is exactly equal to 1 . A constant uniform volumetric source is placed in the slab. 1. Is the slab critical, subcritical, supercritical? Justify 2. Give an expression for the scalar flux in the slab as a function of position. Define each new symbol that you introduce. 3. What is the net leakage rate out of the slab? 4. What is the source rate in the slab? 5. What is the absorption rate in the slab? The fission production rate in the slab? 6. Comment on the relationship between the loss and production rates, computed in 3-5

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