ABC & C EP Formula/Conversion Table for Wastewater Treatment, Industrial, Collection, & Laboratory Exams Alkalinity, as mg CaCO /L (Titrant, ml) (Acid Normality)(50,000) Sample, ml Volts Amps Ohms * of Circle (.785) (Diameter ) (π) (Radius ) of Cone (lateral area) (π) (Radius) Radius + Height of Cone (total surface area) (π) (Radius) (Radius + Radius + Height ) of Cylinder (total exterior surface area) [Surface of End #1] + [Surface of End #] + [(π) (Diameter) (Height or Depth)] * of Rectangle (Length) (Width) (Base) (Height) * of a Right Triangle Sum of All Terms Average (arithmetic mean) Number of Terms Average (geometric mean) [(X 1 ) (X ) (X ) (X 4 ) (X n )] 1/n The nth root of the product of n numbers Biochemical Oxygen Demand (unseeded), mg/l [(Initial DO, mg/l) - (Final DO, mg/l)][00ml] Sample, ml Desired Chemical Feed Pump Setting, % Stroke 100% Maximum (, MGD) (Dose, mg/l) (.785 L/gal) (1,000,000 gal/mg) Chemical Feed Pump Setting, ml/min (Liquid, mg/ml) (4 hr/day) (60 min/hr) Circumference of Circle (π) (Diameter) (π) (Radius) Composite Sample Single Portion (Instantaneous ) (Total Sample ) (Number of Portions) (Average ) Cycle Time, min Storage, gal Pump Capacity, gpm - Wet Well Inflow, gpm *Pie Wheel format for this equation Copyright 01 by Wastewater Treatment, Industrial, Collection,
Degrees Celsius (Degrees Fahrenheit - ) ( 5 /9) ( F ) 1.8 Degrees Fahrenheit (Degrees Celsius) ( 9 /5) + (Degrees Celsius) (1.8) + Detention Time Units must be compatible Dose Demand + Residual *Electromotive Force (EMF), volts (Current, amps) (Resistance, ohms) or E IR *Feed Rate, lbs/day (Dosage,mg/L)(Capacity,MGD)(8.4 lbs/gal) Purity,% expressedas a decimal Filter Backwash Rise Rate, in/min (Backwash Rate, gpm/ft ) (1 in/ft) 7.48 gal/ft Filter Rate or Backwash Rate, gpm/ft, gpm Filter, ft Filter Yield, lbs/hr/ft (Solids Loading, lbs/day)(recovery,% expressed as a decimal) (Filter Operation, hr/day) (, ft ) * Rate, cfs (, ft ) (Velocity, ft/sec) or Q AV Units must be compatible BOD Food/Microorganism Ratio 5, lbs/day MLVSS, lbs *Force, lbs (Pressure, psi) (, in ) Gallons/Capita/Day of Water Produced, gpd Population Hardness, as mg CaCO /L (Titrant, ml) (1,000) Sample, ml Only when the titration factor is 1.00 of EDTA Horsepower, Brake (bhp) (, gpm) (Head, ft) (,960) (Pump Efficiency, % expressed as a decimal) Horsepower, Motor (mhp) (,gpm)(head,ft) (,960)(PumpEfficiency, % expressedas a decimal)(motor Efficiency, % expressedas a decimal) *Horsepower, Water (whp) (, gpm) (Head, ft),960 Hydraulic Loading Rate, gpd/ft Total Applied,gpd,ft *Pie Wheel format for this equation Copyright 01 by Wastewater Treatment, Industrial, Collection,
Leakage, gpd, gallons Time, days *Mass, lbs (, MG) (Concentration, mg/l)(8.4 lbs/gal) *Mass Flux, lbs/day (, MGD) (Concentration, mg/l) (8.4 lbs/gal) Mean Cell Residence Time (MCRT) or Solids Retention Time (SRT), days Milliequivalent (ml) (Normality) Moles of Solute Molarity Liters of Solution Brake hp Motor Efficiency, % 100 % Motor hp Aeration Tank TSS, lbs + Clarifier TSS, lbs TSS Wasted, lbs/day + Effluent TSS, lb/day Number of Equivalent Weights of Solute Normality Liters of Solution Total Weight Number of Equivalent Weights Equivalent Weight Number of Moles Total Weight Molecular Weight Organic Loading Rate, lbs BOD 5 /day/ft Organic Load, lbs BOD5/day, ft Organic Loading Rate-RBC, lbs BOD 5 /day/1,000 ft Organic Load, lbs BOD5/day Surface of Media,1,000 ft Organic Loading Rate-Trickling Filter, lbs BOD 5 /day/1,000 ft Organic Load, lbs BOD5/day,1,000 ft Oxygen Uptake Rate or Oxygen Consumption Rate, mg/l/min Population Equivalent, Organic Recirculation Ratio-Trickling Filter (, MGD) (BOD, mg/l)(8.4 lbs/gal) BOD/day/person, lbs Recirculated Primary Effluent Original - Reduced Reduction in, % 100% Original Reduction of Volatile Solids, % In Out Removal, % 100% In In Out In ( In Out) 100% Oxygen Usage, mg/l Time, min All information (In and Out) must be in decimal form *Pie Wheel format for this equation Copyright 01 by Wastewater Treatment, Industrial, Collection,
Return Rate Return Rate, % 100% Influent Rate Return Sludge Rate-Solids Balance Drop or Rise Slope, % 100% Distance 100 Sludge Density Index SVI (MLSS) ( Rate) Return ActivatedSludge Suspended Solids MLSS Sludge Index (SVI), ml/g (SSV 0, ml/l) (1,000 mg/g) MLSS, mg/l Solids, mg/l (Dry Solids, grams) (1,000,000) Sample, ml Solids Concentration, mg/l Solids Loading Rate, lbs/day/ft Weight, mg, L Solids Applied,lbs/day Surface,ft Solids Retention Time (SRT): see Mean Cell Residence Time (MCRT) Specific Gravity Specific Weight of Substance, lbs/gal Specific Weight of Water, lbs/gal Specific Oxygen Uptake Rate or Respiration Rate, (mg/g)/hr OUR, mg/l/min (60 min) MLVSS, g/l (1 hr) Surface Loading Rate or Surface Overflow Rate, gpd/ft, gpd, ft Three Normal Equation (N 1 x V 1 ) + (N x V ) (N x V ) Where V 1 + V V Two Normal Equation N 1 x V 1 N x V Where N normality, V volume or flow Velocity, ft/sec Rate, ft / sec, ft or Distance, ft Time, sec Dry Solids, g Fixed Solids, g Volatile Solids, % 100% Dry Solids, g * of Cone (1/) (.785) (Diameter ) (Height) (1/) [(π) (Radius ) (Height)] * of Cylinder (.785) (Diameter ) (Height) (π) (Radius ) (Height) * of Rectangular Tank (Length) (Width) (Height) *Pie Wheel format for this equation Copyright 01 by Wastewater Treatment, Industrial, Collection,
Watts (AC circuit) (Volts) (Amps) (Power Factor) Watts (DC circuit) (Volts) (Amps), gpd Weir Overflow Rate, gpd/ft Weir Length, ft Water Horsepower, hp Wire-to-Water Efficiency, % 100% Power Input, hp or Motor hp (, gpm) (Total Dynamic Head, ft) (0.746 kw/hp) Wire-to-Water Efficiency, % 100% (,960) (Electrical Demand, kw) Abbreviations: BOD biochemical oxygen demand CBOD carbonaceous biochemical oxygen demand cfs cubic feet per second COD chemical oxygen demand DO dissolved oxygen ft feet F/M ratio food to microorganism ratio g grams gpd gallons per day gpg grains per gallon gpm gallons per minute hp horsepower hr hour in inches kw kilowatt lbs pounds mg/l milligrams per liter MCRT mean cell residence time MGD million gallons per day min minute ml milliliter MLSS mixed liquor suspended solids MLVSS mixed liquor volatile suspended solid OCR oxygen consumption rate ORP oxidation reduction potential OUR oxygen uptake rate ppb parts per billion ppm parts per million psi pounds per square inch PE population equivalent Q flow Abbreviations(continued): RAS return activated sludge RBC rotating biological contactor SDI sludge density index SRT solids retention time SS settleable solids SSV 0 settled sludge volume 0 minute SVI sludge volume index TOC total organic carbon TS total solids TSS total suspended solids VS volatile solids WAS waste activated sludge Conversion Factors: 1 acre 4,560 square feet 1 acre foot 6,000 gallons 1 cubic foot 7.48 gallons 6.4 pounds 1 cubic foot per second 0.646 MGD 1 foot 0.05 meters 1 foot of water 0.4 psi 1 gallon.79 liters 8.4 pounds 1 grain per gallon 17.1 mg/l 1 horsepower 0.746 kw 746 watts,000 foot lbs/min 1 mile 5,80 feet 1 million gallons per day 694 gallons per minute 1.55 cubic feet per second (cfs) 1 pound 0.454 kilograms 1 pound per square inch.1 feet of water 1 ton,000 pounds 1% 10,000 mg/l π or pi.14159 *Pie Wheel format for this equation Copyright 01 by Wastewater Treatment, Industrial, Collection,
*Pie Wheels: To find the quantity above the horizontal line: multiply the pie wedges below the line together. To solve for one of the pie wedges below the horizontal line: cover that pie wedge, then divide the remaining pie wedge(s) into the quantity above the horizontal line. Given units must match the units shown in the pie wheel. of Circle Circle 0.785 D of Rectangle of Right Triangle Electromotive Force (EMF), volts Rectangle Right Triangle Volts EMF Length Width Height 1 Base Amps Current Ohms Resistance Feed Rate, lbs/day lbs/day Chemical Feed 100% Purity MGD mg/l Dose 8.4 lbs/gal Horsepower, Water (whp) Rate, cfs cfs Rate ft Mass, lbs ft/sec Velocity Force, pounds psi Pressure Pounds Force in Mass Flux, lbs/day whp Horsepower lbs Mass lbs/day Mass Flux gpm feet Head 1,960 MG Vol. mg/l Conc. 8.4 lbs/gal MGD mg/l Conc. 8.4 lbs/gal of Cone of Cylinder of Rectangular Tank Cone Cylinder Rectangle 1/ 0.785 0.785 Height Length Height D H D Width Copyright 01 by Wastewater Treatment, Industrial, Collection, Association of Boards of Certification & Laboratory Formula/Conversion Table