Question 6.4: Preliminary design work has been done on a process to recove...

Preliminary design work has been done on a process to recover a valuable product from an effluent gas stream. The gas will be scrubbed with a solvent in a packed column; the recovered product and solvent separated by distillation; and the solvent cooled and recycled. The major items of equipment that will be required are detailed below.

1. Absorption column: diameter 1 m, vessel overall height 15 m, packed height 12 m, packing 25 mm ceramic intalox saddles, vessel carbon steel, operating pressure 5 bar.

2. Recovery column: diameter 1 m, vessel overall height 20 m, 35 sieve plates, vessel and plates stainless steel, operating pressure 1 bar.

3. Reboiler: forced convection type, fixed tube sheets, area 18.6 m ^{2}, carbon steel shell, stainless-steel tubes, operating pressure 1 bar.

4. Condenser: fixed tube sheets, area 25.3 m ^{2}, carbon steel shell and tubes, operating pressure 1 bar.

5. Recycle solvent cooler: U-tubes, area 10.1 m ^{2}, carbon steel shell and tubes, operating pressure 5 bar.

6. Solvent and product storage tanks: cone roof, capacity 35 m ^{3}, carbon steel.

Estimated service requirements:

Steam 200 kg/h

Cooling water 5000 kg/h

Electrical power 100 kWh/d (360 MJ/d)

Estimated solvent loss 10 kg/d; price £400/t. Plant attainment 95 per cent.

Estimate the capital investment required for this project, and the annual operating cost; date mid-2004.

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Purchased cost of major equipment items.

Absorption column

Bare vessel cost (Figure 6.5a) £21,000; material factor 1.0, pressure factor 1.1

 

\text { Vessel cost }=21,000 \times 1.0 \times 1.1=£ 23,000

 

Packing cost (Table 6.3) £840/ m^{3}

 

Table 6.3. Cost of column packing. Cost basis mid 2004
Cost £ / m^{3}\left(\$ / m^{3}\right)
Size, mm 25 38 50
Saddles, stoneware 840 (1400) 620 (1020) 580 (960)
Pall rings, polypropylene 650 (1080) 400 (650) 250 (400)
Pall rings, stainless steel 1500 (2500) 1500 (2500) 830 (1360)

 

\text { Volume of packing }=(\pi / 4) \times 12=9.4 m ^{3}

 

\text { Cost of column packing }=9.4 \times 840=£ 7896

 

Total cost of column 21,000 + 7896 = 28,896, say £29,000

Recovery column

Bare vessel cost (Figure 6.5a) £26,000; material factor 2.0, pressure factor 1.0

 

\text { Vessel cost } 26,000 \times 2.0 \times 1.0=£ 52,000

 

Cost of a plate (Figure 6.7a), material factor 1.7 = 200 \times 1.7 = £340

Total cost of plates = 35 \times 340 = £11,900

Total cost of column = 52,000 + 11,900 = 63,900, say £64,000

Reboiler

Bare cost (Figure 6.3a) £11,000; type factor 0.8, pressure factor 1.0

 

\text { Purchased cost }=11,000 \times 0.8 \times 1.0=£ 8800

 

Condenser

Bare cost (Figure 6.3a) £8500; type factor 0.8, pressure factor 1.0

 

\text { Purchased cost }=8500 \times 0.8 \times 1.0=£ 6800

 

Cooler

Bare cost (Figure 6.3a) £4300; type factor 0.85, pressure factor 1.0

 

\text { Purchased cost }=4300 \times 0.85 \times 1.0=£ 3700

 

Solvent tank

 

\text { Purchase cost }(\text { Table } 6.2)=1400 \times(35)^{0.55}=£ 9894 \text {, say } £ 10,000

 

Table 6.2. Purchase cost of miscellaneous equipment, cost factors for use in equation 6.7. Cost basis mid 2004
Equipment Size unit, S Size range Constant Index n Comment
C,£ C,$
Agitators
Propeller driver 5-75 1200 1900 0.5
Turbine power, kW 1800 3000 0.5
Boilers
Packaged oil or gas fired
up to 10 bar kg/h steam (5-50) \times 10^{3} 70 120 0.8
10 to 60 bar 60 100 0.8
Centrifuges
Horizontal basket dia., m 0.5-1.0 35,000 58,000 1.3 carbon steel
Vertical basket 35,000 58,000 1 \times 1.7 \text { for ss }
Compressors
Centrifugal driver 20-500 1160 1920 0.8 electric,
power, kW max. press.
Reciprocating 1600 2700 0.8 50 bar
Conveyors length, m
Belt 2-40 1200 1900 0.75
0.5 m wide 1800 2900 0.75
1.0 m wide
Crushers t/h
Cone kg/h 20-200 2300 3800 0.85
Pulverisers 2000 3400 0.35
Dryers \text { area, } m ^{2}
Rotary 5-30 21,000 35,000 0.45 direct
Pan 2-10 4700 7700 0.35 gas fired
Evaporators \text { area, } m ^{2}
Vertical tube 10-100 12,000 20,000 0.53 carbon steel
Falling film 6500 10,000 0.52
Filters \text { area, } m ^{2}
Plate and frame 5-50 5400 8800 0.6 cast iron
Vacuum drum 1-10 21,000 34,000 0.6 carbon steel
Furnaces
Process heat abs, kW
Cylindrical 10^{3}-10^{4} 330 540 0.77 carbon steel
Box 10^{3}-10^{5} 340 560 0.77 \times 2.0 ss
Reactors \text { capacity, } m ^{3}
Jacketed, 3-30 9300 15,000 0.4 carbon steel
agitated 18,500 31,000 0.45 glass lined
Tanks \text { capacity, } m ^{3}
Process 2400 0.6 atmos. press.
vertical 1-50 1450 2900 0.6 carbon steel
horizontal 10-100 1750
Storage
floating roof 50-8000 2500 4350 0.55 \times 2 \text { for }
cone roof 50-8000 1400 2300 0.55 stainless

 

Product tank

Purchase cost same as solvent tank = £10,000

Total purchase cost of major equipment items (PCE)

Absorption column 29,000

Recovery column 64,000

Reboiler 8000

Condenser 6000

Cooler 3000

Solvent tank 10,000

Product tank 10,000

Total £130,000

Estimation of fixed capital cost, reference Table 6.1, fluids processing plant:

 

Table 6.1. Typical factors for estimation of project fixed capital cost
Item Process type
Fluids Fluids- solids Solids
1. Major equipment, total purchase
cost PCE PCE PCE
f_{1} Equipment erection 0.4 0.45 0.50 0.40 0.45 0.50
f_{2} Piping 0.70 0.45 0.20
f_{3} Instrumentation 0.20 0.15 0.10
f_{4} Electrical 0.10 0.10 0.10
f_{5} Buildings, process 0.15 0.10 0.05 0.15 0.10 0.05
* f_{6} Utilities 0.50 0.45 0.25
* f_{7} Storages 0.15 0.20 0.25
* f_{8} Site development 0.05 0.05 0.05
* f_{9} Ancillary buildings 0.15 0.20 0.30
2. Total physical plant cost (PPC)
\begin{array}{r} PPC = PCE \left(1+f_{1}+\cdots+f_{9}\right) \\= PCE \times\end{array} 3.40 3.15 2.80
f_{10} Design and Engineering 0.30 0.25 0.20
f_{11} Contractor’s fee 0.05 0.05 0.05
f_{12} Contingency 0.10 0.10 0.10
Fixed capital =317,520(1+0.3+0.1)=44,528 \text { round up to } £ 4445,000 1.45 1.40 1.35

 

\text { *Omitted } for minor extensions or additions to existing sites.

 

PCE £130,000 _
f_{1} Equipment erection 0.40
f_{2} Piping 0.70
f_{3} Instrumentation 0.20
f_{4} Electrical 0.10
f_{5} Buildings none required
f_{6} Utilities not applicable
f_{7} Storages provided in PCE
f_{8} Site development not applicable
f_{9} Ancillary buildings none required

 

\text { Total physical plant cost }( PPC )=132,300(1+0.4+0.7+0.2+0.1)=£ 317,520

 

f_{10} Design and Engineering 0.30
f_{11} Contractor’s Fee none (unlikely to be used for a small, plant project)
f_{12} Contingencies 0.10

 

\text { Fixed capital }=317,520(1+0.3+0.1)=44,528 \text { round up to } £ 445,000

 

Working capital, allow 5% of fixed capital to cover the cost of the initial solvent charge = 445,000 \times 0.05=£ 22,250.

 

\text { Total investment required for project }=445,000+22,250=467,250 \text {, say } £ 468,000

 

Annual operating costs, reference Table 6.6:

 

Table 6.6. Summary of production costs
Variable costs Typical values
1. Raw materials from flow-sheets
2. Miscellaneous materials 10 per cent of item (5)
3. Utilities from flow-sheet
4. Shipping and packaging usually negligible
Sub-total A . . . . . . . . . . . . . . . . . . . . . .
Fixed costs
5. Maintenance 5 -10 per cent of fixed capital
6. Operating labour from manning estimates from manning estimates
7. Laboratory costs 20 -23 per cent of 6
8. Supervision 20 per cent of item (6)
9. Plant overheads 50 per cent of item (6)
10. Capital charges 10 per cent of the fixed capital
11. Insurance 1 per cent of the fixed capital
12. Local taxes 2 per cent of the fixed capital
13. Royalties 1 per cent of the fixed capital
Sub-total B . . . . . . . . . . . . . . . . . . . . . .
Direct production costs A + B . . . . . . . . . . . . . . . . . . . . . .
13. Sales expense 20- 30 per cent of the direct
14. General overheads production cost
15. Research and development
Sub-total C . . . . . . . . . . . . . . . . . . . . . .
Annual production cost = A + B + C=D . . . . . . . . . . . . . . . . . . . . . .
\text { Production cost } € / k g=\frac{\text { Annual production cost }}{\text { Annual production rate }}

 

Operating time, allowing for plant attainment =365 \times 0.95=347 d / y , \quad 347 \times 24= 8328 h/y.

 

Variable costs:

 

1. Raw materials, solvent make-up =10 \times 347 \times 400 / 1000= £ 1388

 

2. Miscellaneous materials, 10% of maintenance cost (item 5) = £ 2200

3. Utilities, cost from Table 6.5:

 

Table 6.5. Cost of utilities, typical figures mid-2004
Utility UK USA
Mains water (process water) 60 p/t 50 c/t
Natural gas 0.4 p/MJ 0.7 c/MJ
Electricity 1.0 p/MJ 1.5 c/MJ
Fuel oil 65 £/t 100 $/t
Cooling water (cooling towers) 1.5 p/t 1 c/t
Chilled water 5 p/t 8 c/t
Demineralised water 90 p/t 90 c/t
Steam (from direct fired boilers) 7 £/t 12 $/t
Compressed air (9 bar) 0.4 p / m ^{3}( Stp ) 0.6 c / m ^{3}
Instrument air (9 bar) (dry) 0.6 p / m ^{3}( Stp ) 1 c / m ^{3}
Refrigeration 1.0 p/MJ 1.5 c/MJ
Nitrogen 6 p / m ^{3}( Stp ) 8 c / m ^{3}

 

Steam, at 7£/t =7 \times 8328 \times 200 / 1000= £11,659

 

Cooling water, at 1.5 p/t =(1.5 / 100) \times 8328 \times 5000 / 1000= £ 625

 

Power, at 1.2 p/MJ =(1.2 / 100) \times 360 \times 347= £ 1499

 

4. Shipping and packaging not applicable

Variable costs = £17,371

Fixed costs:

5. Maintenance, take as 5% of fixed capital = 445,000 ð 0.05 = £22,250

6. Operating labour, allow one extra man on days. It is unlikely

that one extra man per shift would be needed to operate

this small plant, and one extra per shift would give

a disproportionately high labour cost.

Say, £30,000 per year, allowing for overheads = £30,000

7. Supervision, no additional supervision would be needed

8. Plant overheads, take as 50% of operating labour = £15,000

9. Laboratory, take as 30% of operating labour = £ 9000

10. Capital charges, 6% of fixed capital (bank rate 4%) £26,700

11. Insurance, 1% of fixed capital £ 4450

12. Local taxes neglect

13. Royalties not applicable

Fixed cost = £107,400

Direct production costs = 17,396 + 107,400 = £124,796

14. Sales expense not applicable

15. General overheads not applicable

16. Research and development not applicable

Annual operating cost, rounded = £125,000

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