mathematics handbook
ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK - CHAPTER 1 docx
... Yocto Y Z E P T G M k h da d c m m n p f a z y 10 10 21 1 018 10 15 10 12 10 9 10 6 10 3 10 2 10 1 10 1 10–2 10 –3 10 –6 10 –9 10 12 10 15 10 18 10 – 21 10–24 Table 1. 2 Alphabetical Listing of Conversion Factors ... 62.43 × 10 –9 35. 314 × 10 –3 1. 0 × 10 –6 35. 314 × 10 –6 35. 314 2.2046 × 10 –6 16 . 018 × 10 3 0.35 314 16 . 018 × 10 6 16 . 018 353 .14 × 10 2 Micrograms per cubic meter Micrograms per cubic foot Pounds per 10 00 ... 519 16 .14 .9 .1 Filter Loading 519 16 .14 .10 Filter Yield 520 16 .14 .11 Vacuum Filter Operating Time 520 16 .14 .12 Percent Solids Recovery 5 21 16 .14 .13 ...
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ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK - CHAPTER 2 docx
... 100: Percent (%) = Part Whole (2. 1) For example, 22 percent (or 22 %) means 22 out of 100, or 22 /100 Dividing 22 by 100 results in the decimal 0 .22 : 22 % = 22 = 0 .22 100 • When using percentage ... 3 .2 mil gal 24 h × 8h day = 3 .2 × 24 MGD = 9.6 MGD © 20 05 by CRC Press LLC L1681_book.fm Page 52 Tuesday, October 5, 20 04 10:51 AM 52 ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK Example 2. 36 ... be added to 42 lb of sand for a mixture that contains 26 % of AC? Solution: Let x be the weight of AC: x = 0 .26 42 + x x = 0 .26 ( 42 + x) x = 10. 92 + 0 .26 x (1 – 0 .26 )x = 10. 92 x = © 20 05 by CRC Press...
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ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK - CHAPTER 3 ppt
... 10–6 2 .3 × 10–2 3. 7 × 10 3 4.8 × 10 3 0.18 × 10 3 10 3 3.4 × 10 3 6.7 × 10 3 4.9 × 10–1 6 .3 × 10–6 8.7 × 10 3 4.8 × 10–7 0.66 × 10 3 2.95 3. 4 × 10–6 1. 23 8 .3 × 10 3 3.5 × 10–5 6.6 × 10 3 1.8 × ... Cyclohexane 1,1-Dichloroethane 1,2-Dichloroethane cis-1,2-Dichloroethene trans-1,2-Dichlorethene Ethane Ethanol Ethylbenzene Lindane Methane Methylene chloride n-Octane Pentachlorophenol n-Pentane ... 10 3 2.4 1.2 × 10–1 3. 0 × 10–1 × 10–7 2.4 × 10–1 2.4 × 10–4 9.7 × 10–1 1.65 × 10–1 2.0 × 10–1 7 .3 2.4 × 10–1 4.1 × 10–2 0.25 0. 23 20 3. 7 × 10–1 2.2 × 10–5 27 1 .3 × 10–1 121 1.5 × 10–4 50 .3 3.4...
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ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK - CHAPTER 4 pptx
... Press LLC L1681_book.fm Page 90 Tuesday, October 5, 20 04 10:51 AM 90 ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK Figure 4. 1a Input Figure 4. 1b Output traveling salesman problem) Finally, some ... 5, 20 04 10:51 AM 92 ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK • LONGZ — a steady-state Gaussian plume formulation for urban and rural areas in flat or complex terrain to calculate long-term ... L1681_book.fm Page 88 Tuesday, October 5, 20 04 10:51 AM 88 ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK The problem — that of finding the greatest common divisor of two...
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ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK - CHAPTER 5 doc
... strength, are classified in Table 5. 5 © 20 05 by CRC Press LLC L1681_book.fm Page 108 Tuesday, October 5, 2004 10 :51 AM 108 ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK Table 5. 5 Relative Strengths of ... lb/gal × 1.0 = 6 .58 10 = 6 .58 mg/L © 20 05 by CRC Press LLC L1681_book.fm Page 126 Tuesday, October 5, 2004 10 :51 AM 126 ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK Example 5. 25 Problem: A raw ... Solution: 5. 0 = 0.2 m 50 × 0 .50 0 © 20 05 by CRC Press LLC 111 L1681_book.fm Page 112 Tuesday, October 5, 2004 10 :51 AM 112 ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK 5. 2.2.8 Simple Solutions...
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ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK - CHAPTER 6 potx
... 3 360 + 264 0 + 2755 + 2 860 + 265 0 + 2340 = 2705 mg/L 7-Day Moving Ave for Day = 3 360 + 264 0 + 2755 + 2 860 + 265 0 + 2340 + 2350 = 2708 mg/L 7-Day Moving Ave for Day = 264 0 + 2755 + 2 860 + 265 0 + ... deviation: © 2005 by CRC Press LLC L 168 1_book.fm Page 1 46 Tuesday, October 5, 2004 10:51 AM 1 46 ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK 68 . 26% 95. 46% 99.74% −3s Figure 6. 1 −2s −s M +s +2s +3s Normal ... (10 mg/L) (8.34) = 41.7 lb L = (0 .6 MGD) (15 mg/L) (8.34) = 75. 06 lb L = (0.4 MGD) (5 mg/L) (8.34) = 16. 68 lb L = (41.7 lb) 75. 06 lb + 16. 68 lb = 44.48 lb 6. 4.3 30-Day Average Calculation (C1 +...
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ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK - CHAPTER 7 docx
... divisions ↓ — — — — — — — – 273 .15 + 373 .15 — — — — — — — — 273 .15 — — — — — +212 — — — ↑ 180 equal divisions ↓ — — +32 — — — — — –459. 67 + 671 . 67 — — — — — — — — +491. 67 — — — — — Temperature scale ... Sometimes converting milligrams per cubic meter (mg/m3) — a weight-per-volume-ratio — into a volume-per-unit weight ratio is necessary If g-mol of an ideal gas at 25°C occupies 24.45 L is an understood ... pollution control mathematics and processes 151 © 2005 by CRC Press LLC L1681_book.fm Page 152 Tuesday, October 5, 2004 10:51 AM 152 ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK Controlling environmental...
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ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK - CHAPTER 8 ppt
... Institute (APTI), EPA45 0-2 -8 1-0 05 USEPA -8 1 /05 (1 981 ) Control of gaseous emissions, Course 415, USEPA Air Pollution Training Institute (APTI), EPA45 0-2 -8 1-0 06 USEPA -8 4 /03 (1 984 ) Wet scrubber plan ... LLC L1 681 _book.fm Page 188 Tuesday, October 5, 2004 10:51 AM 188 ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK 120 100 80 60 40 20 50 100 150 200 250 300 350 400 Temperature,°F Figure 8. 15 Adsorption ... m /G m = 38. 4 (g-mol water/g-mol of air) at minimum conditions L m = 38. 4(3,5 38) = 136.0 kg-mol water In mass units: L = 136,000 g-mol/min ( 18 kg/kg-mol) = 24 48 kg/min Step Figure 8. 7 illustrates...
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ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK - CHAPTER 9 docx
... CONTROL 235 Table 9. 7 Collection Efficiency for Each Particle Size Weight fraction wi Average particle size dp, µm i 0.2 0.2 0.2 0.2 0.2 3.5 13 19 45 0 .93 25 0 .99 79 0 .99 99 0 .99 99 0 .99 99 η = – exp(–kd ... the overall collection efficiency η = Σw i ηi = (0.2)(0 .93 25) + (0.2)(0 .99 79) + (0.2)(0 .99 99) + (0.2)(0 .99 99) + (0.2)(0 .99 99) = 0 .98 61 = 98 .61% where η = overall collection efficiency wi = weight ... (9. 11) L1681_book.fm Page 218 Tuesday, October 5, 2004 10:51 AM 218 ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK µ = gas viscosity, pascal-seconds (pound-feet-second) pa = N/m2 N = kilogram-meters...
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ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK - CHAPTER 12 docx
... by CRC Press LLC 10,220 2274 4.49 L1681_book.fm Page 312 Tuesday, October 5, 2004 10:51 AM 312 12.4 ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK STILL WATER SURFACE EVAPORATION In lake and reservoir ... 2274 acre-ft Annual runoff = 38.8 in./yr × 10,220 acres = 38.8 in./yr × feet per 12 in × 10,220 acres = 33,045 acre-ft/yr RT = Storage capacity Annual runoff = 2274 acre-ft 33,045 acre-ft/yr = ... meters © 2005 by CRC Press LLC A i × A i +1 ) (12. 1) L1681_book.fm Page 308 Tuesday, October 5, 2004 10:51 AM 308 ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK Cole’s formula for the volume of water...
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ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK - CHAPTER 13 ppt
... October 5, 2004 10:51 AM 316 ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK Ground surface Rain Infiltration Percolation Water table Water table well Unconfined aquifer Figure 13. 1 Unconfined aquifer ... LLC L1681_book.fm Page 318 Tuesday, October 5, 2004 10:51 AM 318 ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK ϕ= V void Vtotal (13. 1) Two basic types of porosity are common: primary, formed at ... 2004 10:51 AM 320 ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK where Q = rate of groundwater flow v = pore velocity or advection K = hydraulic conductivity A = aquifer cross-section area through...
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ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK - CHAPTER 15 potx
... lb/acre-ft): Copper Sulfate, lb = (0.9 lb Copper Sulfate) (acre-ft) acre-ft (15. 18) Example 15. 20 Problem: A pond has a volume of 35 acre-ft If the desired copper sulfate dose is 0.9 lb/acre-ft, ... 360 ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK Volume, ft = (length, ft) (width, ft) (depth, ft) (15. 22) Volume, gal = (length, ft) (width, ft) (depth, ft) (7.48 gal/ft ) (15. 23) Example 15. 23 ... water horsepower is therefore: 150 ft + 8.1 ft = 158 .1 ft The water horsepower can now be determined: = 150 ft + 8.1 ft = 158 .1 ft 33,000 ft-lb/min = 28 whp Example 15. 11 Problem: The pumping water...
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ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK - CHAPTER 16 pdf
... during the Seven Days (16. 30) L1681_book.fm Page 458 Tuesday, October 5, 2004 10:51 AM 458 ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK Example 16. 39 Problem: Calculate the 7-day moving average ... gpd/ft © 2005 by CRC Press LLC L1681_book.fm Page 448 Tuesday, October 5, 2004 10:51 AM 448 ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK Example 16. 24 Problem: A high-rate trickling filter receives ... Return, Biosolids Rate, gpd 1440 min/day (16. 45) (16. 46) L1681_book.fm Page 466 Tuesday, October 5, 2004 10:51 AM 466 ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK Assume: • Percent SBV60 is representative...
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ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK - CHAPTER 17 (end) docx
... right-of-way), streets and roads: Paved; curbs and storm sewers (excluding right-of-way Paved; open ditches (including right-of-way) Gravel (including right-of-way) Dirt (including right-of-way) ... 5, 2004 10:51 AM 580 ENVIRONMENTAL ENGINEER’S MATHEMATICS HANDBOOK Table 17. 7 Hydrologic Summary, SCS Methods Condition DA RCN PRE-DEV POST-DEV 25 acre 25 acre Q2 tc Q10 TR-55 graphical peak discharge ... Table 17. 8 Storage Volume Requirements Method 2-yr Storage required Graphical hydrograph analysis TR-55 shortcut method 10-yr Storage required 0.82 acre-ft 1.05 acre-ft 1.84 acre-ft 1.96 acre-ft...
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