The Sulphuric Acid Regeneration (SAR) plant reconcentrates spent sulphuric acid received from refineries and chemical manufacturers. Two parallel, identical process trains each handle half the total feed, merging downstream at the main blower and sharing common gas-conditioning, drying, conversion, and absorption equipment.
| Parameter | Value |
|---|---|
| Target H₂SO₄ production | 1,653 STPD (99% purity, both trains) |
| Actual simulated output | 1669.3 STPD |
| Spent acid composition | 90% H₂SO₄ · 5% H₂O · 5% organics by mass |
| Total spent acid feed | 1855.9 STPD (42961 lb/hr) |
| Furnace air basis | 10% SO₂ dry at converter inlet (O₂/SO₂ = 1.57) |
| Furnace peak temperature | 1922 °F |
| Furnace residence time | 2.0 s |
| Converter | 4-bed V₂O₅, adiabatic PFRs, Calderbank kinetics |
| SO₂ conversion | 98.99% |
| HP steam generated (WHB) | 1523 STPD at 653 psia / 495 °F |
| Design year / price basis | 2024 USD |
The SAR process comprises eleven unit operations in series. Spent acid is preheated and atomised into a refractory-lined spray furnace where H₂SO₄ decomposes to SO₂, H₂O, and O₂ while organic impurities combust. Hot furnace gas passes through a waste-heat boiler, a direct-contact quench tower, an indirect shell-and-tube gas cooler, and a wet electrostatic precipitator. The two trains merge at the main blower, which delivers combined gas to the drying tower, the four-bed catalytic converter, and finally the absorption tower.
| # | Section | Key Equipment | Purpose | Tin (°F) | Tout (°F) |
|---|---|---|---|---|---|
| 1 | Storage & Mixing | Tanks, blending pumps | Feed sizing, inventory | — | — |
| 2 | Spray Furnace (×2) | Horizontal refractory furnace | H₂SO₄ → SO₂ + H₂O + ½O₂; organics combust | 752 °F | 1832 °F |
| 3 | Waste-Heat Boiler (×2) | Fire-tube shell-and-tube | HP steam generation, gas pre-cooling | 1832 °F | 662 °F |
| 4 | Quench Tower (×2) | Direct-contact spray | Rapid cooling & condensation | 662 °F | 176 °F |
| 5 | Gas Cooler (×2) | Shell-and-tube HX | Indirect cooling, condensate removal | 176 °F | 104 °F |
| 6 | Wet ESP (×2) | Tubular wet precipitator | Acid-mist collection (99.9%) | 104 °F | 104 °F |
| 7 | Main Blower | Centrifugal blower + motor | Trains merge; pressurised for tower flow | 104 °F | 173.3 °F |
| 8 | Drying Tower | Packed column | 93.5% H₂SO₄ drying to <50 ppm H₂O | 173.3 °F | 173.3 °F |
| 9 | Catalytic Converter | 4-bed V₂O₅ PFR vessel | SO₂ → SO₃, XSO₂ = 99.0% | 761 °F | 783.3 °F |
| 10 | Absorption Tower | Packed column | SO₃ absorbed into 98.5% H₂SO₄ → product | 356 °F | 356 °F |
Figure 2.1 — SAR Plant Cumulative PFD (all units to scale)
| Parameter | Value |
|---|---|
| H₂SO₄ in feed | 139195 lb/hr (90% mass fraction) |
| H₂O in feed | 7733.0 lb/hr (5% mass fraction) |
| Organics in feed | 7733.0 lb/hr (5% mass fraction) |
| Tank material | Carbon steel with acid-resistant lining |
| Parameter | Value |
|---|---|
| Internal volume | 8150 ft³ |
| Gas velocity | 27.9 ft/s (at peak temperature) |
| Spent acid feed | 77330 lb/hr per train |
| NG fuel consumption | 1122.9 lb/hr per train (53900 lb/day total plant) |
| Combustion air | 180014 lb/hr per train |
| Furnace gas out | 258463 lb/hr per train |
| H₂SO₄ decomposition | 100.0000% |
| Parameter | Value |
|---|---|
| Gas inlet temperature | 1832 °F |
| Gas outlet temperature | 662 °F |
| Tube count | 371 × 2.000 in OD × 19.7 ft |
| Number of baffles | 8 |
| Shell-side ΔP | 20.069 psi |
| Steam production (plant) | 3045 STPD (both trains combined) |
| Parameter | Value |
|---|---|
| Gas inlet temperature | 662 °F |
| Gas outlet temperature | 176 °F |
| Condensate rate | 0.0 lb/hr |
| Material | Carbon steel + HDPE lining |
| Parameter | Value |
|---|---|
| Gas inlet temperature | 176 °F |
| Gas outlet temperature | 104 °F |
| Tube count | 7938 × 1.500 in OD × 16.4 ft |
| Cooling-water flow | 706683 lb/hr per train |
| Condensate removed | 14127.09 lb/hr |
| Material | 316 stainless steel |
| Parameter | Value |
|---|---|
| Number of tubes | 234 × Ø11.81 in × 25.46 ft |
| Shell diameter | 20.47 ft |
| Gas superficial velocity | 4.9 ft/s |
| Gas volume flow | 52489.4 CFM per train |
| Operating temperature | 104 °F |
| Parameter | Value |
|---|---|
| Inlet temperature | 104 °F |
| Outlet temperature | 173.3 °F |
| Blower shaft power | 3340 HP |
| Gas density (inlet) | 0.07758 lb/ft³ |
| Parameter | Value |
|---|---|
| Gas superficial velocity | 3.28 ft/s |
| Acid circulation rate | 5864053 lb/hr (6435 GPM) |
| Dilution duty | 24.086 MM BTU/hr |
| Material | Carbon steel shell + acid-brick lining + polypropylene packing |
| Bed | Tin (°F) | Tout (°F) | Xin | Xout | Catalyst (lb) | Depth (ft) |
|---|---|---|---|---|---|---|
| 1 | 761.0 | 1145.6 | 0.0000 | 0.7517 | 17030 | 1.393 |
| 2 | 806.0 | 912.6 | 0.7517 | 0.9579 | 28384 | 2.321 |
| 3 | 806.0 | 818.4 | 0.9579 | 0.9817 | 35480 | 2.902 |
| 4 | 779.0 | 783.3 | 0.9817 | 0.9899 | 61025 | 4.991 |
Figure 3.1 — Converter bed temperatures (left) and per-bed SO₂ conversion increment (right)
| Parameter | Value |
|---|---|
| Gas superficial velocity | 4.92 ft/s |
| Acid circulation rate | 3749200 lb/hr (4069 GPM) |
| Absorption duty | 78.48 MM BTU/hr |
| SO₂ in tail gas | 1186 ppm (1.805 mol/s) |
| SO₃ slip | 58.1 ppm |
| Pressure drop | 0.249 psi |
| Material | Carbon steel shell + acid-brick lining + ceramic packing |
The profitability analysis follows the framework of Seider & Lewin, Product and Process Design Principles — Chapter 17 (approximate profitability measures) and Chapter 27 (improvement-step case study). Capital cost estimates are ROM (±30%) derived from the Seider Chapter 16 bare-module method, updated from CEPCI 2001 = 394 to CEPCI 2024 ≈ 800 (factor 2.03). All monetary values are in 2024 U.S. dollars.
| Parameter | Value |
|---|---|
| EP ($MM/yr) | Economic Potential = Revenue(products) − Cost(raw materials + fuel). Measures gross value added before any operating or capital charges. |
| S ($MM/yr) | Annual sales revenue = total product revenues. |
| C ($MM/yr) | Annual production cost = raw materials + fuel + utilities + labor + maintenance + operating overhead + property taxes & insurance + depreciation + G&A. |
| GP ($MM/yr) | Gross Profit = S − C (pre-tax EBIT). Operating profitability before the cost of capital. |
| TCI ($MM) | Total Capital Investment, including plant, working capital, land, and startup. |
| VP ($MM/yr) | Venture Profit = (1−t)·GP − imin·TCI, where t = 40% and imin = 20%. Positive VP exceeds the 20% ROI hurdle. |
| Parameter | Value |
|---|---|
| Bare-module method | Seider Ch. 16 Guthrie correlations × CEPCI factor 2.03 (2001→2024) |
| DPI | CTBM × 1.15 (site preparation and service facilities) |
| Contingencies | 18% of CDPI |
| TDC | CDPI × 1.18 |
| Working capital | 15% of TCI |
| Land | $3 MM (fixed) |
| Startup cost | 4% of CTDC |
| Depreciation | 10% × CTDC per year (straight-line, 10-year life) |
| Maintenance | ~3% of CTDC per year (wages, materials, overhead) |
| Labor | 6 operators/shift × 5 shifts × $40/hr + supervision + lab = $3.77 MM/yr |
| G&A expenses | 5% of annual sales revenue |
Following the Seider Chapter 27 case-study methodology, the SAR design is developed through five successive improvement steps starting from a minimal feasible concept. Rows highlighted in gold represent steps where the plant achieves positive Venture Profit (VP > 0), i.e., where after-tax return exceeds the 20% minimum ROI hurdle.
| Step | Description | EP $MM/yr | GP $MM/yr | TCI $MM | VP $MM/yr | ROI after-tax % |
|---|---|---|---|---|---|---|
| 0 | 3-bed V₂O₅ converter (XSO₂ = 93%), no WHB, 7% SO₂ dry — oversized gas train | 57.70 | 30.23 | 126.4 | -7.15 | 14.3% |
| 1 | WHB added: HP steam (45 bar) recovered from furnace flue gas, 1,381 MT/day credit | 66.82 | 37.49 | 136.4 | -4.78 | 16.5% |
| 2 | 4-bed V₂O₅ converter with Calderbank kinetics; XSO₂ rises 93% → 99%, full H₂SO₄ yield | 71.35 | 41.52 | 138.4 | -2.76 | 18.0% |
| 3 | Air ratio optimised to 10% SO₂ dry (O₂/SO₂ = 1.57); gas train −30%, TCI −$22 MMPROFITABLE | 71.35 | 45.33 | 116.1 | +3.98 | 23.4% |
| 4 | LP steam (3 bar) from absorption-acid cooling; 60% of 23 MW → 152 kt/yr creditPROFITABLE | 73.53 | 46.98 | 119.1 | +4.37 | 23.7% |
VP = (1−40%)·GP − 20%·TCI. Basis: 330 operating days/yr. Capital: ROM ±30%, Seider Ch. 16 bare-module method.
Figure 5.1 — VP by design step. Bars highlighted with orange outline indicate profitable steps (VP > 0).
Figure 5.2 — EP, GP, and VP for all five improvement steps.
Figure 5.3 — TCI across improvement steps. Step 3 (air-ratio optimisation) achieves the largest capital reduction.
The following cost sheet corresponds to the fully optimised design (Step 4): 551 kST/yr H₂SO₄, 502 kST/yr HP steam (45 bar), and 199.9 kST/yr LP steam (3 bar) recovered from absorption-acid cooling.
| Category | Item | $MM/yr |
|---|---|---|
| Revenue | H₂SO₄ product (551 kST/yr × $150/MT) | +74.96 |
| Revenue | HP steam 45 bar (502 kST/yr × $20/MT) | +9.12 |
| Revenue | LP steam 3 bar (199.9 kST/yr × $12/MT) | +2.18 |
| TOTAL SALES (S) | 86.26 | |
| Raw materials | Spent acid feed (612 kST/yr × $20/MT) | −11.11 |
| Raw materials | Natural gas fuel (382419 MMBtu/yr × $4.22/MMBtu) | −1.61 |
| Utilities | Electricity (20.9 GWh/yr × $0.07/kWh) | −1.46 |
| Utilities | Cooling water (1341.32 MM gal/yr × $0.10/kgal) | −0.134 |
| Labor | Direct wages & benefits + supervision + control lab | −3.77 |
| Fixed costs | Maintenance | −4.34 |
| Fixed costs | Operating overhead | −1.19 |
| Fixed costs | Property taxes & insur. | −1.89 |
| Fixed costs | Depreciation (SL 10 yr) | −9.44 |
| Fixed costs | G&A expenses | −4.31 |
| TOTAL PRODUCTION COST (C) | −39.28 | |
| Profitability | Gross Profit (GP = S − C) | 46.98 |
| Profitability | Venture Profit VP = (1−40%)·GP − 20%·TCI | +4.37 |
Figure 6.1 — Step 4 annual production cost breakdown by category.
Bare-module costs are order-of-magnitude estimates (ROM, ±30%) based on Seider Chapter 16 Guthrie correlations updated to CEPCI 2024 ≈ 800 (factor 2.03 from 2001 base). Bare-module costs include direct and indirect costs for each piece of equipment in place and ready to operate.
| Equipment / Cost Item | $MM | % of CTBM |
|---|---|---|
| Spent-acid storage tanks (×2) | 3.5 | 5.0% |
| Spray furnaces — refractory (×2) | 8.0 | 11.5% |
| Waste-heat boilers (×2) | 5.0 | 7.2% |
| Quench towers — HDPE-lined (×2) | 4.0 | 5.7% |
| Indirect gas coolers — SS (×2) | 6.0 | 8.6% |
| Wet electrostatic precipitators (×2) | 8.0 | 11.5% |
| Main blower + motor | 3.0 | 4.3% |
| Drying tower — brick + packing | 5.0 | 7.2% |
| Catalytic converter vessel | 4.0 | 5.7% |
| V₂O₅ catalyst | 1.0 | 1.4% |
| Absorption tower — brick + packing | 4.0 | 5.7% |
| Acid circulation pumps & HXs | 5.0 | 7.2% |
| LP-steam heat-recovery HXs | 1.5 | 2.2% |
| Piping & instrumentation (20%) | 11.6 | 16.7% |
| Total Bare-Module Cost (CTBM) | 69.6 | 100% |
| Site prep & services (+15%) | 10.4 | |
| CDPI = CTBM × 1.15 | 80.0 | |
| Contingencies (+18%) | 14.4 | |
| CTDC = CDPI × 1.18 | 94.4 | |
| Working capital (15% of TCI) | 17.9 | |
| Land | 3.0 | |
| Startup (4% × CTDC) | 3.8 | |
| Total Capital Investment (TCI) | 119.1 |
The most impactful single design decision is targeting 10% SO₂ dry at the converter inlet (O₂/SO₂ = 1.57). Relative to a 7% SO₂ design, this reduces gas volumetric flow by approximately 30%, directly downsizing the ESP, main blower, drying tower, and absorption tower. The TCI reduction of approximately $22 MM swings Venture Profit from −$2.76 MM/yr (Step 2) to +$3.98 MM/yr (Step 3) — the largest single VP improvement across all five steps. This mirrors the role of synthesis-loop pressure reduction in the Seider ammonia case study.
At $150/MT H₂SO₄, the fully optimised SAR plant achieves a Venture Profit of $+4.37 MM/yr, corresponding to an after-tax ROI of 23.7% and a payback period of 2.51 years. The project modestly exceeds the 20% minimum ROI threshold. The WHB steam credit ($9.1 MM/yr) and LP steam recovery ($2.2 MM/yr) together contribute $11.3 MM/yr of ancillary revenue, without which the plant would fall below the profitability threshold.