Conversion Table Provincial Programs

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1 Conversion Table Provincial Programs Canadian ABC Formula/Conversion Table for Water Treatment, Distribution and Laboratory Exams Alkalinity, as mg CaC0 3 /L = Amps = Volts 0hms Area of Circle = (0.785) (Diameter 2 ) or (Π) (Radius 2 ) (Titrant Volume, ml) (Acid Normality)(50,000) Area of Cone (lateral area) = (Π) (Radius) Radius 2 + Height 2 Area of Cone (total surface area) = (Π) (Radius) (Radius + Radius 2 + Height 2 ) Area of Cylinder (total outside surface area) = [Surface Area of End #1] + [Surface Area of End #2] + [(Π) (Diameter) (Height or Depth)] Area of Rectangle = (Length) (Width) Area of a Right Triangle = (Base) (Height) 2 Sum of All Terms Average (arithmetic mean) = Number of Terms Average (geometric mean) = [(X 1 ) (X 2 ) (X 3 ) (X 4 ) (X n )] 1/n The nth root of the product of n numbers Chemical Feed Pump Setting, % Stroke = (Desired Flow) (100%) Maximum Flow Chemical Feed Pump Setting, ml/min = Circumference of Circle = (Π) (Diameter) Composite Sample Single Portion = (Flow, m 3 /day) (Dose, mg/l) (Chemical Feed Density, g/cm 3 ) (Active Chemical, %)(1,440) (lnstantaneous Flow) (Total Sample Volume) (Number of Portions) (Average Flow) Degrees Celsius = [(Degrees Fahrenheit - 32) ( 5 /9)] or F 32) 1.8 Degrees Fahrenheit = [(Degrees Celsius) ( 9 /5) + 32] or [(Degrees Celsius) (1.8) + 32] Detention Time = Volume Flow Note: Units must be compatible. Electromotive Force (E.M.F), volts = (Current, amps) (Resistance, ohms) or E =lr ( Feed Rate, kg/day = (Dosage,mg/L)(Flow Rate, m 3 /day) (Purity,DecimalPercentage) Feed Rate, litre/min (Fluoride Saturator) = (Plant capacity,litre/min)(dosage,mg/l) (18,000mg/L ) Apr 2016 ABC Canadian Formula/Conversion Table for Water Treatment, Distribution and Laboratory Exams Page 1 of 5

2 Filter Backwash Rise Rate, cm/min = Filter Drop Test Velocity, meter/min = Water Rise, cm Time, minute Water Drop, m Time of Drop, minute Filter Flow Rate or Backwash Rate, L/m 2 sec = Flow, L/sec Filter Filter Yield, kg/m 2 hr = (Solids Concentration, %)(Sludge Feed Rate, L/hr)(10) (Surface Area of Filter, m 2 ) Flow Rate, m 3 /sec = ( ) (Velocity, m/sec) or Q = AV where: Q = flow rate, A = area, V= velocity Force, Newton = (Pressure, pascals) ( ) Litres/Capita/Day = Volume of Water Produced, L/day Population Hardness, as mg CaC0 3 /L = (Titrant Volume, ml) () 0nly when the titration factor is 1.00 of EDTA Horsepower, Brake (bhp) = Horsepower, Motor (mhp) = Horsepower, Water (whp) = (3,960) (Decimal Pump Efficiency) (3,960) (Decimal Pump Efficiency) (Decimal Motor Efficiency) 3,960 Hydraulic Loading Rate, m 3 /m 2 day = Total Flow Applied, m 3 /day Hypochlorite Strength, % = (Chlorine Required, Kg) (100) (Hypochlorite Solution Needed, Kg) Leakage, Lpd = Volume, L Time, days Mass, kg = (Volume, m 3 )(Concentration, mg/l) Mass Flux, kg/day = (Volume, m 3 / day)(concentration, mg/l) Milliequivalent = (ml) (Normality) Molarity = Moles of Solute Litres of Solution Apr 2016 ABC Canadian Formula/Conversion Table for Water Treatment, Distribution and Laboratory Exams Page 2 of 5

3 Normality = Number of Equivalent Weights of Solute Litres of Solution Number of Equivalent Weights = Total Weight Equivalent Weight Number of Moles = Total Weight Molecular Weight Power, kw = (Flow, L/sec) (Head, m)(9.8) Reduction in Flow, % = (0riginal Flow - Reduced Flow) (100%) 0riginal Flow Removal, % = (ln 0ut) (100) ln Slope, % = Drop or Rise x 100 Distance Solids, mg/l = (Dry Solids, grams) (,000) Solids Concentration, mg/l = Weight, mg Volume, L Specific Gravity = Specific Weight of Substance, kg/l Specific Weight of Water, kg/l Surface Loading Rate, Lpd/m 2 = Flow, Lpd Three Normal Equation = (N 1 x V 1 ) + (N 2 x V 2 ) = (N 3 x V 3 ), where V 1 + V 2 = V 3 Two Normal Equation = N1 x V 1 = N 2 x V 2, where N = concentration (normality), V = volume or flow Velocity, m/second = Flow Rate, m 3 / sec Distance, m or Time, second Volume of Cone = (1/3) (0.785) (Diameter 2 ) (Height) Volume of Cylinder = (0.785) (Diameter 2 ) (Height) Volume of Rectangular Tank = (Length) (Width) (Height) Watts (DC circuit) = (Volts) (Amps) Watts (AC circuit) = (Volts) (Amps) (Power Factor) Flow, Lpd Weir 0verflow Rate, Lpd/m = Weir Length, m Apr 2016 Canadian ABC Formula/Conversion Table for Water Treatment, Distribution and Laboratory Exams Page 3 of 5

4 Wire-to-Water Efficiency, % = Wire-to-Water Efficiency, % = Water Horsepower, HP Power lnput, HP or Motor HP x 100 (Flow, gpm) (Total Dynamic Head, ft) (0.746 kw/hp) (100) (3,960) (Electrical Demand, kilowatts) Alkalinity Relationships: Alkalinity, mg/l as CaC0 3 Result of Hydroxide Carbonate Bicarbonate Titration Alkalinity Alkalinity Concentration as CaC0 3 as CaC0 3 as CaC0 3 P = T P < YzT 0 2P T - 2P P = YzT 0 2P 0 P > YzT 2P - T 2(T - P) 0 P = T T 0 0 *Key: P - phenolphthalein alkalinity; T - total alkalinity Conversion Factors: 1 acre = square metres 1 cubic metre = kilograms 1 cubic metre = litres 1 cubic metre = lmperial gallons 1 cubic metre per second = MlGD 1 foot = metre 1 gallon=3.79 litres (US) 1 gallon = 4.54 litres (Imperial) 1 hectare = 10,000 square metres 1 horsepower = kw or 33,000 foot-pounds/min 1 metre head = 9.8 kpa 1 pound = kilograms 1 pound per square inch = 6.89 kpa 1 square metre = 1.19 square yards 1% = 10,000 mg/l Π or pi = Apr 2016 Canadian ABC Formula/Conversion Table for Water Treatment, Distribution and Laboratory Exams Page 4 of 5

5 Abbreviations: cm centimetres D0 dissolved oxygen g grams kpa kilopascals kg kilograms kw kilowatt L litres Lpd litres per day Lpm litres per minute m metres mg/l milligrams per litre MlGD million lmperial gallons per day ml millilitre MLD million litres per day ppb parts per billion ppm parts per million psi pounds per square inch Q flow SS settleable solids TTHM Total trihalomethanes T0C total organic carbon TSS total suspended solids VS volatile solids Apr 2016 Canadian ABC Formula/Conversion Table for Water Treatment, Distribution and Laboratory Exams Page 5 of 5

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