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Problem 1. (20 points) Neutron Continuity (NPRE 455 Neutron Diffusion and Transport) Consider an infinite moderating slab of thickness $2a = 60$ cm uniformly emitting $S = 1e13$ neutrons per second cm. The absorption cross section is $\Sigma_a = 0.45$ cm$^{-1}$ and the diffusion length is $D = 0.8$ cm. In this system, neutrons are only being emitted by the slab, absorbed by the slab, and leaked into the environment. Find the number of neutrons being absorbed given the following equations. $n_{produced} = 2aS$ $n_{leaked} = 2SL \tanh(\frac{a}{L})$ $L = \sqrt{\frac{D}{\Sigma_a}}$

          Problem 1. (20 points) Neutron Continuity (NPRE 455 Neutron Diffusion and Transport)
Consider an infinite moderating slab of thickness $2a = 60$ cm uniformly emitting $S = 1e13$ neutrons per
second cm. The absorption cross section is $\Sigma_a = 0.45$ cm$^{-1}$ and the diffusion length is $D = 0.8$ cm. In this
system, neutrons are only being emitted by the slab, absorbed by the slab, and leaked into the
environment. Find the number of neutrons being absorbed given the following equations.
$n_{produced} = 2aS$
$n_{leaked} = 2SL \tanh(\frac{a}{L})$
$L = \sqrt{\frac{D}{\Sigma_a}}$

Problem 1. (20 points) Neutron Continuity (NPRE 455 Neutron Diffusion and Transport)
Consider an infinite moderating slab of thickness 2a = 60 cm uniformly emitting S = 1e13 neutrons per
second cm. The absorption cross section is = 0.45 cm^-1 and the diffusion length is D = 0.8 cm. In this
system, neutrons are only being emitted by the slab, absorbed by the slab, and leaked into the
environment. Find the number of neutrons being absorbed given the following equations.
nproduced = 2aS
nleaked = 2SL tanh((a)/(L))
L = √((D)/())

Added by Cody M.

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