Concept explainers
(a)
To Calculate: The uranium concentration for 10% enriched uranyl sulfate
(a)
Answer to Problem 12.8P
Explanation of Solution
Given:
For criticality,
Formula used:
The mean number of fission neutrons per neutron absorbed in uranium is calculated as
Where,
The dependency of
Where,
Calculation:
For criticality,
Eta
The fast fission factor,
1, since the molar ratio of the moderator to fuel is very high.
The value of
If M = the number of moles of
10% enrichment
the number of moles per mole of
the components of the
Component |
| moles |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
The dependency of
M =0.00745 mole 10% enriched
The molecular weight of the enriched uranium is
The concentration of 10% enriched
Conclusion:
The uranium concentration is
(b)
To Calculate: The uranium concentration for 90% enriched
(b)
Answer to Problem 12.8P
Explanation of Solution
Given:
For criticality,
Formula used:
For criticality,
Eta
Where,
The dependency of
Where,
Calculation:
The calculations for 90% enriched
using the values for
The value of
Since,
By letting M = the number of moles of 90% enriched
, we obtain the following values to substitute into the equation above:
Component |
| moles |
|
H2O |
|
|
|
O2SO4 |
|
|
|
U-5 |
|
|
|
U-8 |
|
|
|
Substituting these values into the equation,
The molecular weight of 90% enriched uranium is
The concentration of 90% enriched
attain criticality is
Conclusion:
The uranium concentration is
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