Chemical dosing and feed rates

chemical feed rateppm dosingslug dose8.34 formulaproduct strengthlb per day

Feed rate, dose from mass added, slug dose and product strength — converting between ppm, pounds per day and gallons of product.

Chemical Feed Rate (lb/day = mg/L × MGD × 8.34)

m˙=CQ\dot m = C \, Q

Converts a target chemical dose and a plant flow into a mass feed rate, the classic pounds-per-day formula built on water weighing 8.34 lb per gallon.

Chemical Feed Rate from Dose

W=CQρwW = C \, Q \, \rho_w

Chemical feed rate in pounds per day from a ppm dose and a water flow, using the trade density of 8.34 lb per US gallon.

Dose Achieved from Chemical Added

C=mVρwC = \frac{m}{V \, \rho_w}

Concentration reached in a system of known volume after adding a measured mass of chemical, at 8.34 lb of water per US gallon.

Product Dose from Active Strength

Dp=100DaAD_p = \frac{100 \, D_a}{A}

Converts a required active-ingredient dose into the as-supplied product dose when the drum is only a given percent active.

Pounds of Active Chemical in a Tank

m=V×SG×ρw×pm = V \times \mathrm{SG} \times \rho_w \times p

Gives the mass of active chemical held in a storage tank from its volume, the solution's specific gravity and the percent active ingredient.

Closed Loop Slug Dose Volume

Vp=CVsρwρpV_p = \frac{C \, V_s \, \rho_w}{\rho_p}

Volume of liquid product needed for a one-shot slug dose to hit a target ppm in a closed loop of known volume and product density.

System Volume from Turnover Time

V=RtV = R \, t

System water volume estimated from the recirculation rate and the measured turnover time — the field method when no drawings exist.

How they fit together

Every one of these is the pounds equation in disguise: lb/day = mg/L × MGD × 8.34, where 8.34 is simply the weight of a US gallon of water in pounds. Turn it around and a known weight of chemical in a known volume gives the dose achieved. A slug dose is the same arithmetic against a system volume rather than a flow, which is how closed loops are treated — you are filling a fixed inventory, not feeding a stream.

Choose by whether the system flows through or recirculates. Continuous flow — potable, wastewater, tower makeup — takes the feed rate form. A closed loop or a batch tank takes the slug form, and its hardest input is the system volume, which is almost never on the drawings; a tracer turnover measurement beats a guess every time. The error that ruins the calculation is forgetting product strength. Twelve and a half percent sodium hypochlorite is 12.5% available chlorine by weight and heavier than water, so a gallon does not deliver 8.34 lb of anything — you need the active pounds, not the product pounds, and mixing the two up is an eightfold error on a 12.5% product. Hypochlorite also degrades in storage, losing meaningful strength in weeks when warm, so dose against a recent titration rather than the label.