Using the Table below, calculate the
atomic densities of U235, U238, C, and O for the AGR-567 UCO fuel, where
Uranium enrichment is 15.5% in U-235.
|
Mean Density
|
Deviation
|
Chemistry, , mole %
|
|
|
|
UO2
|
UC1.86
|
UC
|
AGR-1
|
10.7
|
0.026
|
67.90%
|
0.40%
|
31.70%
|
AGR-3
|
10.9
|
0.03
|
71.40%
|
8.90%
|
19.70%
|
AGR-2 UCO
|
11
|
0.03
|
71.40%
|
12.30%
|
16.40%
|
AGR-2 UO2
|
10.9
|
0.029
|
100%
|
NA
|
NA
|
Lot
|
10.8
|
0.023
|
72.30%
|
13.80%
|
13.90%
|
AGR-567 UCO
|
10.4
|
NA
|
75.00%
|
17.44%
|
7.56%
|
Requirements:
1- Uranium enrichment: 15.5%
2- C/U (atomic ratio) = 0.4
3- O/U (atomic ratio) = 1.5
Then, the mole fractions become:



Therefore:



1- Molecular weight of 15.5% enriched Uranium
in U-235:


2- Molecular weight of UCO, using the mole fractions (f) in the
above table:



3- Density of U in the UCO mixture:









4-
Atomic densities of U235, U238, C and O:












Verification:



Gokhan Yesilyurt
11/04/2018