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INEEL/EXT-02-00877
Physical Properties Models forSimulation of Processes toTreat
INEEL Tank Farm Waste:Thermodynamic Equilibrium
T. T. NicholsD. D. Taylor
July 2002
Idaho National Engineering and Environmental
Laboratory Bechtel BWXT Idaho, LLC
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INEEL/EXT-02-00877
Physical Properties Models for Simulation ofProcesses to Treat
INEEL Tank Farm Waste:
Thermodynamic Equilibrium
Todd T. NicholsDean D. Taylor
July 2002
Idaho National Engineering and Environmental LaboratoryHigh
Level Waste Program
Idaho Falls, Idaho 83415
Prepared for theU.S. Department of Energy
Assistant Secretary for Environmental ManagementUnder DOE Idaho
Operations Office
Contract DE-AC07-99ID13727
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γ γ
γ
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+++=
µ λ
λ µ
λ µ λ
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µ λ µ
++++=
∂
∂
=
µ λ λ γ
φ γ φ Φ Ψ
γ φ
λ µ
<
++++Ψ+
Ψ+Φ+++=
λ
γ
Φ Ψ λ
β β β λ Φ Ψ
Φ
θ θ +=Φ
′=′
Φ
θ
θ θ
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Ψ
Ψ
γ ν
γ ν+γ
ν−
ν
ν+
ν−
ν ν ν
ν
ν
ν ν ν+ ν ν− ν
ν
γ
γ
γ γ
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γ
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γ
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γ
γ
γ γ
γ γ
γ γ
γ
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α γ
γ αγ
α
γ γ
γ
γ
γ α
γ
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γ
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γ
γ γ
γ γ
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γ γ
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γ γ α γ α
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γ
α γ
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γ
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γ ±
β β
ϕ
γ γγ γ
≡
γ ±
ϕ
ν
γ γγ γ
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γ γγ γ
γ γγ γ
γ γγ γ γ γγ γ
γ γγ γ
γ γγ γ
γ γγ γ
[ ]=
−=
ϕ
==
ϕ ϕ
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β β
ϕ
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ϕ
ϕ
ϕ
ϕ
ϕ
ϕϕϕϕ
⋅
⋅
⋅
⋅
⋅
⋅
ϕ ϕ
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ϕ ϕ
ϕ
ϕ ϕ
ϕ ϕ
γ ± ε
γ γγ γ ⋅
θ ψ
[ ]
α α
α
β β −+−+=
[ ]
−+++−=
β
ϕ
=
ββ
ϕ
α
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γ γγ γ
∏==
+=
=
υ γ υ γ
υ
ν
γ ν ε
=ε
γ γγ γ
+
+++=
γ
++
+−==
ϕ
ϕ
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γ γγ γ
ε γ γγ γ
ε γ γγ γ
γ γγ γ ε ε
=
=
=
=
±
±
γ γ γ
γ γ γ
ϕ
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γ
γ
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γ
γ
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γ
γ
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γ
γ
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α
γ
α
γ
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α
γ
α
γ
