Dose Achieved from Chemical Added

C=mV ρwC = \frac{m}{V \, \rho_w}
sig figs

Worked example: 10 lb into 5000 gal → 239.81 ppm. Press Try an example to run it live, then adjust anything.

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Where Dose Achieved from Chemical Added fits

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See also

Closed Loop Slug Dose Volume: Both use concentration achieved and system volume.Chemical Feed Rate (lb/day = mg/L × MGD × 8.34): Both use concentration achieved.Chemical Feed Rate from Dose: Both use concentration achieved.Glycol Dilution: Both use system volume.Holding Time Index: Both use system volume.Product Dose from Active Strength: Both use concentration achieved.
3 more relatedSystem Volume from Turnover Time: Both use system volume.Alkalinity Remaining After Alum: Both use concentration achieved.Jar Test Dose Scale-Up: Both use concentration achieved.
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Dose Achieved from Chemical Added explained

mVC

Run the feed equation backwards and you get the after-the-fact question every technician is asked: I dumped a pail in. Where does that put me? Ten pounds of product into a 5000 gallon system is 10 lb spread through 5000 × 8.34 = 41,700 lb of water, which is 10/41,700 = 240 ppm. In metric the same idea is even simpler, since a cubic metre of water weighs about 1000 kg: one kilogram in ten cubic metres is 100 ppm.

The number that wrecks this calculation is never the arithmetic: it is the system volume. Nameplate volumes on closed loops are optimistic, and towers with deep sumps, remote basins or long buried runs routinely hold 30–50% more than the drawings say. If accuracy matters, measure it: add a known mass of an inert tracer such as lithium or a fluorescent dye, let it mix for a full turnover, test the residual, and solve this same equation for V. That trick is the basis of every tracer-controlled feed program on the market.

Dose Achieved from Chemical Added formula

C=mV ρwC = \frac{m}{V \, \rho_w}
Where
  • CC= Concentration achieved (mg/L)
  • mm= Mass of chemical added (kg)
  • VV= System volume (L)
Where this comes from

Worked from first principles: a definition, a balance or unit arithmetic, so it needs no outside source.

Revised 30 October 2026
Cite this page

formula.expert. (2026, October 30). Dose Achieved from Chemical Added Formula & Calculator. https://formula.expert/solvers/chemical-dose-from-mass-added