Water tools

    Coagulant dose: alkalinity consumed, precipitate formed, base to add

    Adding a metal salt is adding a strong acid. Every mole of trivalent metal hydrolyses to its hydroxide and releases three protons that the water's alkalinity must absorb, or a base must.

    Alkalinity consumed
    15.1mg/L as CaCO₃
    Alkalinity remaining
    44.9mg/L as CaCO₃
    Hydroxide precipitate
    7.87mg/L
    Hydroxide precipitate
    340kg/d
    Base equivalent to the acid added
    Caustic soda to replace alkalinity
    12.1mg/L NaOH
    Hydrated lime
    11.2mg/L Ca(OH)₂
    Soda ash
    16.0mg/L Na₂CO₃
    Reference
    Typical dose range
    10 to 150 mg/L

    How it works

    The commercial salt hydrolyses to the amorphous hydroxide and releases protons, for example for alum:

    Al2(SO4)3·14H2O→2Al(OH)3+6H++3SO42−+8H2O(1)

    Each proton consumes one equivalent of alkalinity (50 mg/L as CaCO₃ per meq/L). With nH protons and nM metal ions per mole of salt of formula weight FW:

    Alk=DFWnH·50M(OH)3=DFWnMFWM(OH)3NaOH=DFWnH·40(2)
    where
    D
    coagulant dose, mg/L of the commercial salt
    FW
    formula weight of the salt, g/mol
    nH
    protons released per mole of salt
    nM
    metal ions per mole of salt
    Alk
    alkalinity consumed, mg/L as CaCO₃
    M(OH)3
    metal hydroxide precipitated, mg/L
    FWM(OH)3
    formula weight of the hydroxide, 78 for aluminium, 107 for iron
    NaOH
    caustic to replace the alkalinity, mg/L

    Alum and ferric sulfate give six protons and two hydroxides per mole; ferric chloride three and one. Lime and soda ash supply two equivalents per mole. The hydroxide here is the coagulant's own sludge; add the removed turbidity (about 1.4 mg TSS per NTU) and any polymer for the total. Residual soluble metal depends on pH: aluminium is least soluble near 6.2, iron near 8. The dose itself cannot be predicted from chemistry; jar tests set it.

    Related reading

    These calculators use standard published formulas and are provided for preliminary engineering guidance. Confirm against measured data and vendor projections before design. Model your full water matrix in Nepti or post your project to compare provider proposals.