How to Calculate Pounds per Day of Chlorine (Water Operator Exam Math)

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Pounds per day of a chemical equals flow in million gallons per day (MGD) times the dose in milligrams per liter (mg/L) times 8.34, the weight of a gallon of water in pounds. For chlorine, the dose is the demand plus the residual you want to keep; for a product that is not 100 percent chemical, divide the pounds by the product's strength as a decimal, and divide by its weight per gallon to get gallons.

The formula

lb/day = Flow (MGD) × Dose (mg/L) × 8.34 lb/gal

TermMeaningUnits
Flowflow treatedMGD
Dosechemical dose, which for chlorine is demand + residualmg/L
8.34weight of one gallon of water; with MGD and mg/L it folds in the million-gallon and milligram-per-liter conversionslb/gal
Strengthavailable chemical in the product, as a decimal (12.5 percent = 0.125)unitless

The drinking water sheet lists the gas, solid and liquid forms of the formula and dose = demand + residual; the wastewater sheets give the same 8.34 relation for pounds per day of biochemical oxygen demand (BOD) or suspended solids. Official sheets: Exam Conversion Sheet (revised 4/30/2026) (State Water Resources Control Board, Drinking Water Operator Certification Program; Water Treatment and Water Distribution exams); Equivalents and Formulas Sheet, Version 1 (State Water Resources Control Board, Wastewater Operator Certification Program; Wastewater Treatment Plant Operator exams); Equivalents and Formulas Sheet, Version 2 (State Water Resources Control Board, Wastewater Operator Certification Program; Wastewater Treatment Plant Operator exams).

Worked example

Chemical feed · Original practice item, not a real exam question.

A 6.2 MGD surface water plant measures a chlorine demand of 2.3 mg/L and wants a free residual of 0.7 mg/L leaving the clearwell. It feeds 12.5 percent sodium hypochlorite that weighs 10.0 lb/gal. How many gallons of hypochlorite per day are needed?

  1. Dose = 2.3 mg/L + 0.7 mg/L = 3.0 mg/L
    Demand is what the water consumes; residual is what must remain. The feed covers both.
  2. 6.2 MG/day × 3.0 mg/L × 8.34 lb·L/(MG·mg) = 155.1 lb/day
    The million gallons (MG), mg and L units cancel, leaving pounds of chlorine per day.
  3. 155.1 lb Cl₂/day ÷ 0.125 lb Cl₂/lb product = 1,241 lb product/day
    Only 12.5 percent of each pound of product is chlorine, so more product than chlorine is needed: divide.
  4. 1,241 lb/day ÷ 10.0 lb/gal = 124.1 gal/day
    Pounds cancel, leaving gallons of product per day.

Answer: 124.1 gallons of sodium hypochlorite per day

Common mistakes

Which exams test this

Do I use 8.34 for sodium hypochlorite?

Yes inside the pounds formula, because there 8.34 converts the flow of water, not the chemical. No when turning pounds of product into gallons: use the product's own weight per gallon, its specific gravity times 8.34. A 12.5 percent solution has a specific gravity of about 1.2, so it weighs about 1.2 × 8.34 = 10.0 lb/gal.

What is the difference between dose, demand and residual?

Dose is what you add, demand is what reacts with the water, and residual is what is left. Dose = demand + residual, so a residual reading lower than planned usually means the demand went up.

Why does 8.34 work with MGD and mg/L?

A milligram per liter is one part per million by weight in water, and a million gallons of water weighs 8.34 million pounds, so one mg/L in one MG is 8.34 lb. The millions cancel.

Practice this in the app

The free study app has a step-by-step lesson on this calculation, with fraction-tile unit cancellation and graded practice problems.

Open the chemical feed lesson

Related worked examples

Unit conversions for flow, pressure and head · Concentration times contact time (CT) calculation · Surface, weir and solids loading rates · All worked examples

Formulas follow the official sheets linked above, which are the reference at the exam. The worked example and the mistakes are original practice material written for this page; they are not real exam questions, which are confidential. Written by the site's author.

Questions, flashcards, and explanations are AI-written under a sourcing policy that builds on the exam content outlines and candidate materials each certifying body publishes without restriction and the regulations and technical references they cite, and that excludes actual exam questions, recollections of any exam sat by the author, other study products, and any handbook or document released under a confidentiality agreement. Any item found outside that policy is rewritten from primary sources or removed. Content is then put through repeated review — regulatory values checked against primary sources, every calculation recomputed, and errors corrected — plus spot checks by the author, who holds California water operator certifications and a California civil engineering license. Those spot checks are sampling, not a professional review: nothing here is stamped, sealed, or offered as engineering advice, and not every item has been individually verified, so mistakes can still slip through.

Not affiliated with or endorsed by the State Water Resources Control Board (SWRCB), its Division of Drinking Water (DDW) or Wastewater Operator Certification Program (WWOCP), the California-Nevada American Water Works Association (CA-NV AWWA), the California Water Environment Association (CWEA), the National Council of Examiners for Engineering and Surveying (NCEES), the California Board for Professional Engineers, Land Surveyors, and Geologists (BPELSG), the Contractors State License Board (CSLB), or the American Public Works Association (APWA). All questions, flashcards, and references are independent study aids; verify against the official exam materials.