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Enrichment / SWU Calculator
Chapter 2, Section 2.7.4 — Separative Work Units
SWU Calculator
wt%
wt%
wt%
kg
$
Feed Required
7.786
kg
Tails Produced
6.786
kg
Separative Work
4.339
kg-SWU
Enrichment Cost
$564.13
Step 1: Mass Balance
Feed factor F/P = (xp − xt) / (xf − xt) = (0.03500 − 0.00300) / (0.00711 − 0.00300) = 7.7859
F = P × 7.7859 = 1 × 7.7859 = 7.786 kg
T = F − P = 7.786 − 1 = 6.786 kg
Step 2: Value Functions
V(x) = (2x − 1) · ln(x / (1 − x))
V(xp) = V(0.03500) = 3.0846
V(xt) = V(0.00300) = 5.7713
V(xf) = V(0.00711) = 4.8689
Step 3: Separative Work
SW = P·V(xp) + T·V(xt) − F·V(xf)
SW = (1 × 3.0846) + (6.786 × 5.7713) − (7.786 × 4.8689)
SW = 3.085 + 39.163 − 37.909
SW = 4.339 kg-SWU
Specific Activity Calculator
Chapter 3, Section 3.6 — Radiological Properties of Unirradiated Fuel
Specific Activity Calculator
| Isotope | Mass Fraction | Sp. Activity (Bq/g) | Activity | % of Total |
|---|---|---|---|---|
| U-234 | 0.0270% | 2.302e+8 | 54.684 MBq | 80.7% |
| U-235 | 3.5000% | 7.995e+4 | 2.467 MBq | 3.6% |
| U-238 | 96.4731% | 1.244e+4 | 10.575 MBq | 15.6% |
| Total | 6.773e+4 Bq/g | 67.726 MBq | 100% |
Note: U-234 mass fraction estimated as 0.77% of U-235 fraction (standard approximation for LEU). Uranium mass in UO₂: 88.15%.
Dose Rate & Shielding Calculator
Point source dose rate with optional HVL shielding — Chapters 4-6
Dose Rate Calculator
Cs-137: 7.8×10⁻¹⁴ | Co-60: 3.1×10⁻¹³
Unshielded Dose Rate
78.000 μSv/s → 280800.0 μSv/h
Formula: Ḣ = A × Γ / d²
= 1.00e+9 × 7.80e-14 / 1² = 7.800e-5 Sv/s
Fission Product Inventory Calculator
Chapter 4, Section 4.3 — Irradiated Fuel Inventory
Fission Product Inventory Calculator
Fission Rate
9.363e+19
fissions/s
Activity at Shutdown
386.644 PBq
(10% of equilibrium)
Formula: A = R · y · (1 − e−λt)
λ = ln(2) / T½ = 7.2797e-10 s⁻¹ | T½ = 30.17 years | y = 0.062