College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 30, Problem 9P

(a)

To determine

The surface to volume ratio for the sphere.

(b)

To determine

The surface to volume ratio for the cube.

(c)

To determine

The reactor with minimum leakage.

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An aluminum foil of thickness 0.30 mm is bombarded by energetic neutrons. The aluminum nuclei undergo neutron capture according to the process 2Al(n,y)28 Al, with a measured capture cross section of 2.0×1031 m². Assuming the flux of incident neutrons to be 5.0×10¹2 neutrons/ cm²-s, calculate the number of neutrons captured per second by 1.0 cm² of the foil. The density of aluminum is 2.7 g/cm³.
A swimming pool reactor produces a flux of 3x1016 thermal neutrons m-2 s-1 at 1 m from the reactor center. Assuming a parallel beam of neutrons diffusing up to the surface of the pool where the neutron flux is measured to be 108 m -2 s-1. Calculate the thickness ( x m) of the water layer required. For thermal neutrons the flux is reduced exponentially with the experiment x L-1 where L is the diffusion length ( 2.75 cm in H2O).
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