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Page Title:
Table B.2 Mass fraction of uranium isotopes converted to helium after 50 years |
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|  DOE-STD-3028-2000
moles of evolved gas over time will be approximately bounded by assuming complete reaction
of the water to form hydrogen and complete scavenging of oxygen to prevent the reverse
reaction. Organics are forbidden by Sections 6.2.2.2 and 6.2.2.4 and will not be considered
here. Combining the hydrogen component with the Ideal Gas Law gives,
)
RT1 (m)(X H2O
PH2 =
(B.6)
V MWH2O
where XH20 is the mass fraction of water in 233U and MWH2O is the molecular weight of water.
B.3
HELIUM GENERATION
The mass fraction of a radionuclide that is converted to helium through alpha decay may be
calculated using a program such as ORIGEN 2. This fraction, b, is shown in Table B.2 for a 50-
Table B.2 Mass fraction of uranium isotopes converted to helium after 50 years
Isotope
b
232
U
0.0381
233
U
3.8e-6
234
U
2.4e-6
235
U
8.4e-10
236
U
2.5e-8
238
U
1.3e-10
For the 233U-bearing material in storage, only the terms for 232U and 233U need be considered
since the other isotopes will not be present in large enough quantities to have significant
contributions.
Incorporating this data into the gas law results in
m
RT
∑ (bi )( X i ) 1
PHe =
(B.7)
MW
V
He
37
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