Download Wastewater formula sheet and more Cheat Sheet Water and Wastewater Engineering in PDF only on Docsity! 1 Formula Sheet for all Wastewater Operator Exams Revised 8/15 F001 Surface area of a pond, acres = Length, ft x Width, ft 43560 F002 Volume of a pond, MG = 1,000,000 7.48 ft Depth, 2 sf area, Bottomsf area, Surface F004 BOD removal efficiency, % = mg/LBOD, Influent mg/LBOD,Effluentmg/LBOD,Influent X 100% F008 Theoretical detention time of a pond, days = Volume of the pond, MG Flow rate, MGD F011 Removal efficiency, % = 100% ionconcentrat Influent ionconcentrat Effluentionconcentrat Influent F012 Solids, lbs= (Volume, MG) x (MLSS, mg/L) x (8.34) F016 Average flow rate, MGD = (Final flow, MG) - (Initial flow, MG) Time elapsed, days F017 BOD loading, lbs/day = (Flow rate, MGD) x (BOD, mg/L) x 8.34 F018 TSS removal efficiency, % = 100% TSS Influent TSS EffluentTSS Influent F020 Volume of sample needed for a BOD test bottle, mL = mg/L sample, the of BOD Estimated 1200 F021 BOD, mg/L = (Initial D.O., mg/L - Final D.O., mg/L) x 300 mL Sample volume, mL 2 F022 Chlorine feed rate, lbs/day = (Flow, MGD) x (Dosage, mg/L) x (8.34) F023 TSS test results, mg/L = mL volume, Sample mg ,dry weight Net X 1000 mL/L F030 Pump capacity, gpm = (Width, ft) x (Length, ft) x (Draw-down, ft) x 7.48 Time of draw-down in minutes F030B Increased flow = (New pipe diameter, inch)2 (Old pipe diameter, inch) 2 F030C Flow rate in a pipe, gpd = gal/cf 7.48min/day 1440sec/min 60ft/sec Velocity,0.785 in/ft 12 inches diameter, Pipe 2 2 F032 Desired suspended solids, lbs = (Sludge age, days) x (Primary effluent solids, lb/day) F033 Volume per stroke, gal/stroke = 12 7.48inches Stroke, 12 inches Diameter,0.785 2 2 F034 Total dry solids, lbs = (Raw sludge, gal) x (Total solids, %) x (8.34) 100% F035 MLSS, lbs = (Aeration volume, MG) x (MLSS conc, mg/L) x (8.34) F037 Digestion time, days = Digester volume, gal Flow, gpd F038 Phosphorus (P) removal, % = mg/L P, Influent mg/L P, Effluentmg/L P, Influent x 100% 5 F074 Chlorine demand, mg/L = (Chlorine dose, mg/L) - (Chlorine residual, mg/L) F076 Polymer dose, mg/L = (Polymer delivery rate, gpm) x (Polymer, lbs/gal) x (1,000,000) (Flow, gpm) x (8.34) F077 Polymer dose, mg/L = (Polymer feed rate, lbs/day) x (1,000,000) (Flow, gpm) x (1440) x (8.34) F078 Volume of seed sludge, gal = (Volume of digester, gal) x (% seed) F079 Solid loading, lbs/day = (Raw sludge volume,gal)x(Solid conc,%)x(Volatile fraction,%)x(8.34) F081 Total settleable solids to pump to digester, gpd = (Sludge removed, mL) x (Flow, MGD) x (1000) F082 % reduction of volatile matter, % = (In - Out) x (100) In - [(In) x (Out)] (“in” and “out” in fraction, not in %) F083 % reduction of volatile matter, % = 100 lbs matter, volatile Initial lbs matter, volatile Finallbs matter, volatile Initial % F087 Seed correction per 1.0 mL of seed = Initial D.O. – Final D.O. mL of seed in bottle and BOD5, mg/L = mL 300 mL volume, Sample mg/L ,correction Seedmg/L DO, Finalmg/L DO, Initial F088 Volume diluted, mL = (Target normality) x (Target volume, mL) Stock acid normality F091 Sludge flow, MGD = (Thickener loading, lbs/day/sf) x (Surface area, sf) (8.34) x (10,000) x (% solids) F092 Desired lbs of solids in aeration tank = (Daily solids addition, lbs/day) x (Sludge age, days) 6 F094 New digestion time, days = (Digester volume, gal)x(Increase in sludge conc,%-Initial sludge conc,%) (Initial sludge flow, gpd) x (Initial sludge conc, %) F096 Volume of working solution, mL = (Beaker volume, mL) x (Dosage, mg/L) (Stock solution conc, %) x (10,000) F097 Chemical feed rate, gph = (Flow, MGD) x (Dosage, mg/L) x 100% (Solution strength, %) x (24 hr/day) F098 Surface loading rate, gpd/sf = (Flow rate, MGD) x (1,000,000 gal/MG) (Diameter, ft)2 x (0.785) F099 Polymer dosage, mg/L = (Polymer pumping rate, gpm) x (Polymer conc. lbs/gal) x (1,000,000) (Sludge flow rate, gpm) x (8.34 lbs/gal) F100 Retention % = 100% mg/L conc., Retentate mg/L conc., Permeatemg/L conc., Retentate F101 Average transmembrane pressure, psi = (Inlet pressure, psi + Outlet pressure, psi) – Permeate pressure, psi 2 F103 RAS, MGD = (Settled volume, mL/L) x (Influent flow rate, MGD) (1000 mL/L) - (Settled volume, mL/L) F105 Sludge age, days = mg/L SS, effluentPrimary MGD ,Inflowrate mg/L MLSS,MG volume, Tank F106 F/M, lb COD/day per lb MLVSS = fraction Volatilelbs aeration, under Solids lbs/gal 8.34mg/L COD,MGD Flow, F108 Phosphorus to be added, lbs/day = [BOD lbs/day x P/BOD (desired ratio)] – (P in wastewater, lbs) 7 F110 Desired COD loading, lbs/day = (COD loading rate, lbs COD/lbs VS) x (VS, lbs) F111 Sludge produced, lbs/day = (Flow, MGD) x (Influent BOD, mg/L - Effluent BOD, mg/L) x (8.34 x yield factor) F112 Thickened sludge volume, gal/day = % ion,concentrat solids Sludge 100% lbs/gal 8.34 lbs/day Sludge, F114 Solids loading, lbs/hr/sf = (Flow, gpm) x (60) x (8.34 lbs/gal) x (SS%) (Liquid surface area, sf) x (100%) F115 Air to solids ratio = lbs/gal 8.34% conc, Sludgegpm rate, feed Solids 100%lb/cf 0.075cfm rate,supply Air F116 Feed time to a centrifuge, min = (Storage volume, cf) x (Basket sludge conc, %) x (62.4 lbs/cu ft) (Flow, gpm) x (Influent solids, %) x (8.34 lbs/gal) F117 Increase of detention time, days = % conc., sludge Initialgpd flow, sludge Initial % conc., sludge in Increasegal volume, digesterAerobic F122 Polymer dosage, lbs/ton = (Polymer solution conc, %) x (Polymer added, gpm) x (2,000 lbs/ton) (Sludge conc, %) x (Sludge flow rate, gpm) F123 Vacuum filter yield, lbs/hr/sq ft = sf area, Filterhr/day operation, filter of Duration 100% % Recovery, lbs/day loading, Sludge F124 Required filter run time, hr/day = Sludge solids loading, lbs/day x Solids recovery, % (Filter yield, lbs/hr/sf) x (Filter area, sf) x (100%)