alculate the macroscopic scattering cross section for natural uranium.

Question

alculate the macroscopic scattering cross section for natural uranium. Given p = 18.9 g/cm³, percentage weight of 235U in natural uranium is 0.713; the rest being 238 U. The scattering cross sections for 235 U and 238 U isotopes being 15 b and 13.8 b, respectively.

19 Apr 2025

Answer :

Word Count : 375

To calculate the macroscopic scattering cross section (Σ_s) for natural uranium, we need to consider the contributions from both uranium-235 (U-235) and uranium-238 (U-238) isotopes.

First, let's determine the number density (N) of uranium atoms in the given sample. The density (p) of natural uranium is 18.9 g/cm³, and we know the molar mass of uranium (U) is approximately 238 g/mol.

1. Calculate the molar number of atoms per unit volume:
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