Coagulation and Flocculation · 9 Coagulation and Flocculation 543 Term Definition Inorganic metal...

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9 Coagulation and Flocculation 9-1 Role of Coagulation and Flocculation Processes in Water Treatment Coagulation Process Flocculation Process Practical Design Issues 9-2 Stability of Particles in Water Particle–Solvent Interactions Electrical Properties of Particles Particle Stability Compression of the Electrical Double Layer 9-3 Coagulation Theory Adsorption and Charge Neutralization Adsorption and Interparticle Bridging Precipitation and Enmeshment 9-4 Coagulation Practice Inorganic Metallic Coagulants Prehydrolyzed Metal Salts Organic Polymers Coagulant and Flocculant Aids Jar Testing for Coagulant Evaluation Alternative Techniques to Reduce Coagulant Dose 9-5 Coagulation of Dissolved Constituents Effects of NOM on Coagulation for Turbidity Removal Enhanced Coagulation Determination of Coagulant Dose for DOC Removal Removal of Dissolved Inorganics 9-6 Flocculation Theory Mechanisms of Flocculation Particle Collisions Flocculation of Spherical Particles Fractal Flocculation Models Floc Breakup Use of Spherical Particle Models for Reactor Design 541 MWH’s Water Treatment: Principles and Design, Third Edition John C. Crittenden, R. Rhodes Trussell, David W. Hand, Kerry J. Howe and George Tchobanoglous Copyright © 2012 John Wiley & Sons, Inc.

Transcript of Coagulation and Flocculation · 9 Coagulation and Flocculation 543 Term Definition Inorganic metal...

  • 9CoagulationandFlocculation9-1 Role of Coagulation and Flocculation Processes in Water

    TreatmentCoagulation ProcessFlocculation ProcessPractical Design Issues

    9-2 Stability of Particles in WaterParticle–Solvent InteractionsElectrical Properties of ParticlesParticle StabilityCompression of the Electrical Double Layer

    9-3 Coagulation TheoryAdsorption and Charge NeutralizationAdsorption and Interparticle BridgingPrecipitation and Enmeshment

    9-4 Coagulation PracticeInorganic Metallic CoagulantsPrehydrolyzed Metal SaltsOrganic PolymersCoagulant and Flocculant AidsJar Testing for Coagulant EvaluationAlternative Techniques to Reduce Coagulant Dose

    9-5 Coagulation of Dissolved ConstituentsEffects of NOM on Coagulation for Turbidity RemovalEnhanced CoagulationDetermination of Coagulant Dose for DOC RemovalRemoval of Dissolved Inorganics

    9-6 Flocculation TheoryMechanisms of FlocculationParticle CollisionsFlocculation of Spherical ParticlesFractal Flocculation ModelsFloc BreakupUse of Spherical Particle Models for Reactor Design

    541MWH’s Water Treatment: Principles and Design, Third Edition John C. Crittenden, R. Rhodes Trussell, David W. Hand, Kerry J. Howe and George TchobanoglousCopyright © 2012 John Wiley & Sons, Inc.

  • 542 9 Coagulation and Flocculation

    9-7 Flocculation PracticeAlternative Methods of FlocculationVertical Turbine FlocculatorsHorizontal Paddle Wheel FlocculatorsHydraulic FlocculationImportant Design Features in Flocculation

    Problems and Discussion TopicsReferences

    Terminology for Coagulation and Flocculation

    Term Definition

    Coagulation Addition of a chemical to water with the objective ofdestabilizing particles so they aggregate or forminga precipitate that will sweep particles from solutionor adsorb dissolved constituents.

    Coagulant aid Chemicals (typically synthentic polymers) added towater to enhance the coagulation process.

    Counterions Ions of opposite charge to the surface charge ofparticles.

    Critical coagulationconcentration(CCC)

    Concentration of coagulant that reduces the electricdouble layer to the point where flocculation canoccur.

    Destabilization Process of eliminating the surface charge on aparticle so that flocculation can occur.

    Electric double layer(EDL)

    Electrostatic potential surrounding a charged particlein solution, consisting of a layer of counterionsadsorbed directly to the surface and a diffuse layerof ions forming a cloud of charge around theparticle.

    Enhancedcoagulation

    Coagulation process with the objective of removingnatural organic matter, typically for minimizing theformation of disinfection by-products (see Sec 9-5).

    Enmeshment orsweep floc

    Entrapment or capture of particles by amorphousprecipitates that form when a coagulant is added towater.

    Flocculation Aggregation of destabilized particles into largermasses that are easier to remove from water thanthe original particles.

    Flocculant aid Organic polymers used to enhance settleability andfilterability of floc particles.

  • 9 Coagulation and Flocculation 543

    Term Definition

    Inorganic metalcoagulant

    Metal salts such as aluminum sulfate and ferric chloridethat will hydrolyze, forming mononuclear andpolynuclear species of varying charge. When added inexcess, metal coagulants form chemical precipitates.

    Jar test Procedure to study effect of coagulant addition towater; used to determine required doses andoperating conditions for effective coagulation andflocculation.

    Stable particlesuspension

    Suspension of particles that will stay in solutionindefinitely; stable particles have a surface chargethat causes them to repel each other and preventaggregation into larger particles that would settle ontheir own.

    Synthetic organiccoagulant

    High-molecular-weight (typically 104 to 107 g/mol)organic molecules that can carry positive (cationic),negative (anionic), or neutral (nonionic) charge.

    Zeta potential Measurement of the charge at the shear plane ofparticles, used as a relative measure of particlesurface charge.

    Natural surface waters contain inorganic and organic particles. Inorganicparticulate constituents, including clay, silt, and mineral oxides, typicallyenter surface water by natural erosion processes. Organic particles mayinclude viruses, bacteria, algae, protozoan cysts and oocysts, as well asdetritus litter that have fallen into the water source. In addition, surfacewaters will contain very fine colloidal and dissolved organic constituentssuch as humic acids, a product of decay and leaching of organic debris.Particulate and dissolved organic matter is often identified as naturalorganic matter (NOM).

    Removal of particles is required because they can (1) reduce the clarityof water to unacceptable levels (i.e., cause turbidity) as well as impart colorto water (aesthetic reasons), (2) be infectious agents (e.g., viruses, bacteria,and protozoa), and (3) have toxic compounds adsorbed to their externalsurfaces. The removal of dissolved NOM is of importance because manyof the constituents that comprise dissolved NOM are precursors to theformation of disinfection by-products (see Chap. 19) when chlorine is usedfor disinfection. NOM can also impart color to the water.

    The most common method used to remove particulate matter and a por-tion of the dissolved NOM from surface waters is by sedimentation and/orfiltration following the conditioning of the water by coagulation and floc-culation, the subject of this chapter. Thus, the purpose of this chapter is topresent the chemical and physical basis for the phenomena occurring in

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  • 544 9 Coagulation and Flocculation

    the coagulation and flocculation processes. Specific topics include (1) therole of coagulation and flocculation processes in water treatment, (2) sta-bility of particles in water, (3) coagulation theory, (4) coagulation practice,(5) coagulation of dissolved and organic constituents, (6) flocculationtheory, and (7) flocculation practice.

    9-1 Role of Coagulation and Flocculation Processes in Water Treatment

    The importance of the coagulation and flocculation processes in watertreatment can be appreciated by reviewing the process flow diagramsillustrated on Fig. 9-1. As used in this book, coagulation involves the additionof a chemical coagulant or coagulants for the purpose of conditioningthe suspended, colloidal, and dissolved matter for subsequent processingby flocculation or to create conditions that will allow for the subsequentremoval of particulate and dissolved matter. Flocculation is the aggregationof destabilized particles (particles from which the electrical surface chargehas been reduced) and precipitation products formed by the additionof coagulants into larger particles known as flocculant particles or, morecommonly, ‘‘floc.’’ The aggregated floc can then be removed by gravitysedimentation and/or filtration. Coagulation and flocculation can also bedifferentiated on the basis of the time required for each of the processes.Coagulation typically occurs in less than 10 s, whereas flocculation occursover a period of 20 to 45 min. An overview of the coagulation and floc-culation processes is provided below.

    CoagulationProcess

    The objective of the coagulation process depends on the source of thewater and the nature of the suspended, colloidal, and dissolved organic

    Settledsolids

    SedimentationInfluent fromsurface water

    Effluent todistributionsystem

    Granularfiltration

    Oxidant/disinfectant

    Oxidant/disinfectantPolymer

    Flocculation

    Bypass flocculationfor contact (in-line) filtration

    Bypasssedimentation

    for direct filtration

    Liquid processing

    Residuals processingand management Waste

    washwater

    CoagulantFlashmix

    Figure 9-1Typical water treatment process flow diagram employing coagulation (chemical mixing) with conventional treatment, directfiltration, or contact filtration.

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  • 9-1 Role of Coagulation and Flocculation Processes in Water Treatment 545

    constituents. Coagulation by the addition of the hydrolyzing chemicals suchas alum and iron salts and/or organic polymers can involve

    1. Destabilization of small suspended and colloidal particulate matter

    2. Adsorption and/or reaction of portions of the colloidal and dissolvedNOM to particles

    3. Creation of flocculant particles that will sweep through the waterto be treated, enmeshing small suspended, colloidal, and dissolvedmaterial as they settle

    Coagulants such as alum, ferric chloride, and ferric sulfate hydrolyzerapidly when mixed with the water to be treated. As these chemicalshydrolyze, they form insoluble precipitates that destabilize particles byadsorbing to the surface of the particles and neutralizing the charge(thus reducing the repulsive forces) and/or forming bridges betweenthem. Natural or synthetic organic polyelectrolytes (polymers with multiplecharge-conferring functional groups) are also used for particle destabi-lization. Because of the many competing reactions, the theory of chemicalcoagulation is complex. Thus, the simplified reactions presented in this andother textbooks to describe the various coagulation processes can only beconsidered approximations, as the reactions may not necessarily proceedas indicated (Letterman et al., 1999).

    FlocculationProcess

    The purpose of flocculation is to produce particles, by means of aggrega-tion, that can be removed by subsequent particle separation proceduressuch as gravity sedimentation and/or filtration. Two general types of floc-culation can be identified: (1) microflocculation (also known as perikineticflocculation) in which particle aggregation is brought about by the ran-dom thermal motion of fluid molecules (known as Brownian motion) and(2) macroflocculation (also known as orthokinetic flocculation) in whichparticle aggregation is brought about by inducing velocity gradients andmixing in the fluid containing the particles to be flocculated. Another formof macroflocculation is brought about by differential settling in which largeparticles overtake small particles to form larger particles.

    Practical DesignIssues

    When it comes to the practical design of coagulation and flocculationfacilities, designers must consider four process issues: (1) the type andconcentration of coagulants and flocculant aids, (2) the mixing intensityand the method used to disperse chemicals into the water for destabilization,(3) the mixing intensity and time for flocculation, and (4) the selectionof the liquid–solid separation process (e.g., sedimentation, flotation, andgranular filtration). With the exception of sedimentation and flotation(considered in Chap. 10) and filtration (considered in Chaps. 11 and 12),these subjects are addressed in the subsequent sections of this chapter.

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    9-2 Stability of Particles in Water

    The particles in water may, for practical purposes, be classified as suspendedand colloidal, according to particle size. Because small suspended andcolloidal particles and dissolved constituents will not settle in a reasonableperiod of time, chemicals must be used to help remove these particles. Thephysical characteristics of particles found in water including particle size,number, distribution, and shape have been discussed previously in Chap. 2,Sec 2-3.

    To appreciate the role of chemical coagulants and flocculant aids, itis important to understand particle solvent interactions and the electricalproperties of the colloidal particles found in water. These subjects alongwith the nature of particle stability and the compression of the electricaldouble layer are considered in this section.

    Particle–SolventInteractions

    Particles in natural water can be classified as hydrophobic (water repelling)and hydrophilic (water attracting). Hydrophobic particulates have a well-defined interface between the water and solid phases and have a low affinityfor water molecules. In addition, hydrophobic particles are thermodynam-ically unstable and will aggregate irreversibly over time.

    Hydrophilic particles such as clays, metal oxides, proteins, or humicacids have polar or ionized surface functional groups. Many inorganicparticulates in natural waters, including hydrated metal oxides (iron or alu-minum oxides), silica (SiO2), and asbestos fibers, are hydrophilic becausewater molecules will bind to the polar or ionized surface functional groups(Stumm and Morgan, 1996). Many organic particulates are also hydrophilicand include a wide diversity of biocolloids (humic acids, viruses) and sus-pended living or dead microorganisms (bacteria, protozoa, algae). Becausebiocolloids can adsorb on the surfaces of inorganic particulates, the par-ticles in natural waters often exhibit heterogeneous surface properties.Some particulate suspensions such as humic or fulvic acids can be reversiblyaggregated because of their hydrogen bonding tendencies.

    ElectricalPropertiesof Particles

    The principal electrical property of fine particulate matter suspended inwater is surface charge, which contributes to relative stability, causingparticles to remain in suspension without aggregating for long periodsof time. The particulate suspensions are thermodynamically unstable and,given sufficient time, colloids and fine particles will flocculate and settle.However, this process is not economically feasible because it is very slow.A review of the causes of particulate stability will provide an understandingof the techniques that can be used to destabilize particulates, which arediscussed in the following section.

  • 9-2 Stability of Particles in Water 547

    HO

    HO

    Si

    Si4+

    O

    O

    Al3+

    O

    O

    Si

    O

    O

    Si

    OH

    OH

    Silicon atom displacedby aluminum atom

    Figure 9-2Charge acquisition through isomorphous substitution of Al for Si.

    ORIGIN OF PARTICLE SURFACE CHARGE

    Most particulates have complex surface chemistry and surface charges mayarise from several sources. Surface charge arises in four principal ways, asdiscussed below (Stumm and Morgan, 1996).

    Isomorphous replacement (crystal imperfections)Under geological conditions, metals in metal oxide minerals can bereplaced by metal atoms with lower valence, and this will impart a neg-ative charge to the crystal material. An example where an aluminum atomreplaced a silicon atom in a clay particle is shown on Fig. 9-2. This process,known as isomorphous replacement, produces negative charges on thesurface of clay particles (van Olphen, 1963).

    Structural imperfectionsIn clay and similar mineral particles, imperfections that occur in theformation of the crystal and broken bonds on the crystal edge can lead tothe development of surface charges.

    Preferential adsorption of specific ionsParticles adsorb NOM (e.g., fulvic acid), and these large macromoleculestypically have a negative charge because they contain carboxylic acidgroups:

    R − COOH � R − COO− + H+ (pKa = 4 to 5) (9-1)Consequently, particle surfaces that have adsorbed NOM will be negativelycharged for pH values greater than ∼5.

    Ionization of inorganic groups on particulate surfacesMany mineral surfaces contain surface functional groups (e.g., hydroxyl)and their charge depends on pH. For example, silica has hydroxyl groupson its exterior surface, and these can accept or donate protons as shownhere:

    Si − OH+2 � Si − OH + H+ � Si − O− + 2H+

    pH � 2 pH = 2 pH � 2 (9-2)

  • 548 9 Coagulation and Flocculation

    pH

    0

    2 4 6 8 10 12

    Par

    ticle

    surf

    ace

    char

    ge

    Silica

    Alumina+ψ0

    −ψ0

    Figure 9-3Variation in particle charge with pH.

    The zero point of charge, as shown on Fig. 9-3, forsilica is at pH 2, whereas the zero point of chargefor alumina is about pH 9. The pH correspondingto a surface charge of zero is defined as the zeropoint of charge (ZPC). Above the ZPC the surfacecharge will be negative (anionic), and below theZPC the charge will be positive (cationic). TheZPC for other particles that commonly occur inwater are listed in Table 9-1. When examiningTable 9-1, it is important to realize that many ofthe measurements that are reported are in low-ionic-strength waters (i.e., distilled water); conse-quently, the reported pHzpc values are higher thanis observed in natural waters.

    Table 9-1Surface characteristics of inorganic and organic particulates commonlyfound in natural waters

    Zero Point of Charge,Type of Particle pHzpc

    InorganicAl(OH)3 (amorphous) 7.5–8.5Al2O3 9.1CuO3 9.5Fe(OH)3 (amorphous) 8.5MgO 12.4MnO2 2–4.5SiO2 2–3.5Clays

    Kaolinite 3.3–4.6Montmorillonite 2.5

    AsbestosChrysotile 10–12Crocidolite 5–6

    CaCO3 8–9Ca5(PO4)3OH 6–7FePO4 3AlPO4 4

    OrganicAlgae 3–5Bacteria 2–4Humic acid 3Oil droplets 2–5

    Source: From Parks (1967) and Stumm and Morgan (1981).

  • 9-2 Stability of Particles in Water 549

    ELECTRICAL DOUBLE LAYER

    In natural waters, negatively charged particulates accumulate positive coun-terions on and near the particle’s surface to satisfy electroneutrality. Asshown on Fig. 9-4, a layer of cations will bind tightly to the surface of anegatively charged particle to form a fixed adsorption layer. This adsorbedlayer of cations, bound to the particle surface by electrostatic and adsorp-tion forces, is about 5 Å thick and is known as the Helmholtz layer (alsoknown as the Stern layer after Stern, who proposed the model shown onFig. 9-4). Beyond the Helmholtz layer, a net negative charge and electricfield is present that attracts an excess of cations (over the bulk solutionconcentration) and repels anions, neither of which are in a fixed position.These cations and anions move about under the influence of diffusion(caused by collisions with solvent molecules), and the excess concentrationof cations extends out into solution until all the surface charge and electricpotential is eliminated and electroneutrality is satisfied.

    Approximate shearlayer measured byelectrophoresis

    Fixed charge(Stern) layer

    Negatively chargedparticle surface

    Diffuseion layer

    Ions in equilibriumwith bulk solution

    Negative ion

    Positivecounterion

    Ele

    ctro

    stat

    ic p

    oten

    tial,

    mV

    Double layer

    Distance from particle surface, A

    0

    −ψ0

    −ψm

    −ψζ

    κ−1

    Nernstpotential

    Zeta(Helmholtz)

    potential

    Zetameasuredpotential

    Figure 9-4Structure of the electricaldouble layer. The potentialmeasured at the shear planeis known as the zeta potential.The shear plane typicallyoccurs in diffuse layer.

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  • 550 9 Coagulation and Flocculation

    The layer of cations and anions that extends from the Helmholtz layer tothe bulk solution where the charge is zero and electroneutrality is satisfiedis known as the diffuse layer. Taken together the adsorbed (Helmholtz)and diffuse layer are known as the electric double layer (EDL). Dependingon the solution characteristics, the EDL can extend up to 300 Å into thesolution (Kruyt, 1952). It is interesting to note that the double-layer modelproposed by Stern (see Fig. 9-4) is a combination of the earlier modelsproposed by Helmholtz–Perrin and Gouy–Chapman. In fact, the diffuselayer is often identified as the Gouy–Chapman diffuse layer (Voyutsky, 1978).

    MEASUREMENT OF SURFACE CHARGE

    The electrical properties of highly dispersed particle systems having a soliddispersed phase and a liquid dispersion medium can be defined in terms offour phenomena: (1) electrophoresis, (2) electroosmosis, (3) sedimentation poten-tial (also known as the Dorn effect), and (4) streaming potential . Collectivelythese four phenomena, described in Table 9-2, are known as electrokineticphenomena because they involve the movement of particles (or a liquid)when a potential gradient is applied or the formation of the potential

    Table 9-2Description and application of electrochemical phenomena

    Phenomena Description Application in Water Treatment

    Electrophoresis,discovered by R. Reuss,circa 1808

    Refers to the movement of charged particlesrelative to a stationary liquid subject to anapplied electrical field. The particles movealong the lines of the electrical field.

    Used to assess the destabilizationof particles subject to the additionof coagulant chemicals. Also usedin laboratory studies to isolate newproteins and other organicmolecules.

    Electroosmosis,discovered by R. Reuss,circa 1808

    Refers to the movement of liquid relative toa stationary charged surface (e.g., a porousplug) subject to an applied electrical field.

    Streaming potential,discovered by G.Quincke, circa 1859

    Refers to the creation of a potential gradientwhen liquid is made to flow along astationary charged surface (e.g., whenforced through a porous plug). The chargesfrom the particles are carried along with thefluid.

    Used to assess the destabilizationof particles subject to the additionof coagulant chemicals. Onlineinstruments are now available thatcan be used to control chemicaladdition in water treatment.

    Sedimentation potential,discovered by Dorn,circa 1878

    Refers to the creation of a potential gradientwhen charged particles move (e.g., settling)relative to a stationary liquid medium.Sedimentation potential is the opposite ofelectrophoresis.

    Source: Adapted from Voyutsky (1978) and Shaw (1966).

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  • 9-2 Stability of Particles in Water 551

    gradient when particles (or liquid) move. It should be noted that theseaforementioned electrical phenomena are caused by the opposite chargeof the particle (solid) and liquid. Although there is no direct measure ofthe electrical field surrounding a particle or method to determine whenparticles have been destabilized from the addition of coagulants, the sur-face charge on a particle can be measured indirectly using one of the fourelectrokinetic phenomena (Voyutsky, 1978).

    ZETA POTENTIAL

    When a charged particle is subjected to an electric field between twoelectrodes, a negatively charged particle will migrate toward the positiveelectrode, as shown on Fig. 9-5, and vice versa. This movement is termedelectrophoresis. It should be noted that when a particle moves in an electricalfield some portion of the water near the surface of the particle moves withit, which gives rise to the shear plane, as shown on Fig. 9-4. Typically, asshown on Fig. 9-4, the actual shear plane lies in the diffuse layer to the rightof the theoretical fixed shear plane defined by the Helmholtz layer. Theelectrical potential between the actual shear plane and the bulk solution iswhat is measured by electrophoretic measurements. This potential is calledthe zeta potential or the electrical potential and is given by the expression

    Z = v0kzμεε0

    (9-3)

    where Z = zeta potential, Vv0 = electrophoretic mobility, (μm/s)/(V/cm)

    = νE/EνE = electrophoretic velocity of migrating particle, μm/s (also

    reported as nm/s and mm/s)

    Diffuse ion cloudtravels with particle

    Negativelycharged ion

    Negativepole

    Positivepole

    Positively chargedcounterions attracted

    to negative pole

    Particle with high negativesurface charge moves toward

    positive pole

    Figure 9-5Schematic illustration ofelectrophoresis in which a chargedparticle moves in an electrical field,dragging with it a cloud of ions.

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    E = electrical field at particle, V/cmkz = constant that is 4π or 6πμ = dynamic viscosity of water, N · s/m2ε = permitivity relative to a vacuum (ε for water is 78.54, unitless)

    ε0 = permitivity in a vacuum, 8.854188 × 10−12 C2/J · m (notethat C2/J · m is equivalent to N/V2)

    Typical values for the electrophoretic mobility for particles in naturalwaters vary from about −2 to +2 (μm/s)/(V/cm). The constant kz is usedto account for the shape of the particle. The value of 4π appears in thederivation put forth by Smoluchowski and applies if the extent of the diffuselayer is small relative to the curvature of the particle. The value of 6π isused when the particle is much smaller than the thickness of the doublelayer (Kissa, 1999).

    For example, if the value of the constant is 4π and the electrical mobilityis 0.5 (μm/s)/(V/cm), the value of the zeta potential at 25◦C is 80.4 mV asgiven below:

    Z = (0.5 μm·cm/s·V)(4π)(0.890×10−3N·s/m2)(1 m/106μm)(1 m/102cm)(

    78.54)(

    8.854188 × 10−12 C2/J · m)= 80.4 mV

    Empirically, when the absolute value of the zeta potential is reduced belowapproximately 20 mV, rapid flocculation occurs (Kruyt, 1952). The zetapotential will vary with the size and shape of the particle, with the numberof charges on the particle, with the strength of the electric field, and withthe nature of the ions in the diffuse layer.

    Particle Stability The stability of particles in natural waters depends on a balance between(1) the repulsive electrostatic force and (2) the attractive force known asthe van der Waals force.

    REPULSIVE ELECTROSTATIC FORCES

    The principal mechanism controlling the stability of hydrophobic andhydrophilic particles is electrostatic repulsion. Electrostatic repulsionoccurs, as discussed above, because particles in water have a net negativesurface charge. The magnitude of the electrostatic force will depend onthe charge of the particle and the solution characteristics.

    VAN DER WAALS ATTRACTIVE FORCE

    Van der Waals forces originate from magnetic and electronic resonancethat occurs when two particles approach one another. This resonance iscaused by electrons in atoms on the particle surface, which develop astrong attractive force between the particles when these electrons orientthemselves in such a way as to induce synergistic electric and magnetic

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  • 9-2 Stability of Particles in Water 553

    fields. Van der Waals forces are proportional to the polarizability of theparticle surfaces. Van der Waals attractive forces (

  • 554 9 Coagulation and Flocculation

    condition 1 contains a repulsive maximum that must be overcome if theparticles are to be held together by the van der Waals force of attraction.Although floc particles can form at long distances as shown by the netenergy curve for case 1, the net force holding these particles together isweak and the floc particles that are formed can be ruptured easily. In case2, there is no energy barrier to overcome. Clearly, if colloidal particles areto be flocculated by microflocculation, the repulsive force must be reducedas shown in case 2. With the addition of a coagulant, which reduces theextent of the electrical double layer, rapid flocculation can occur.

    Compressionof the ElectricalDouble Layer

    It has been observed that, if the electrical double layer is compressed,particles in water will come together as a result of Brownian motion andremain attached due to van der Waals forces of attraction, as discussedabove. As the ionic strength of a solution is increased, the extent ofthe double layer decreases, which in turn reduces the zeta potential. Thethickness of the double layer and the effects of ionic strength and electrolyteaddition on the compression of the double layer are described below.

    DOUBLE-LAYER THICKNESS

    The thickness of the electrical diffuse layer as a function of the ionicstrength and electrolyte is given in Table 9-3. The thickness of the diffuselayer may be calculated using the following equation (Gouy, 1910):

    κ−1 = 1010[(2) (1000) e2NAI

    εε0 kT

    ]−1/2(9-4)

    where κ−1 = double-layer thickness, Å1010 = length conversion, Å /m1000 = volume conversion, L/m3

    Table 9-3Thickness of electrical double layer (EDL) as function of ionic strength andvalence at 25◦C

    Molarity z+ : z− I, mol/L κ, cm−1 1/κ, Å

    0.001 1:1 0.001 1.04 × 106 96.22:2 0.004 2.08 × 106 48.13:3 0.009 3.12 × 106 32.1

    0.01 1:1 0.01 3.29 × 106 30.42:2 0.04 6.57 × 106 15.23:3 0.09 9.86 × 106 10.1

    0.1 1:1 0.1 1.04 × 107 9.62:2 0.4 2.08 × 107 4.83:3 0.9 3.12 × 107 3.2

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  • 9-2 Stability of Particles in Water 555

    e = electron charge, 1.60219 × 10−19 CNA = Avagadro’s number, 6.02205 × 1023/mol

    I = ionic strength, 12∑

    z2M , mol/Lz = magnitude of positive or negative charge on ion

    M = molar concentration of cationic or anionic species, mol/Lε = permittivity relative to a vacuum (ε for water is 78.54,

    unitless)ε0 = permittivity in a vacuum, 8.854188 × 10−12 C2/J · mk = Boltzmann constant, 1.38066 × 10−23 J/K

    T = absolute temperature, K (273 + ◦C)The relationship given in Eq. 9-4 is not actually the double-layer thicknessbut is related to how far out into the solution the repulsive force will reach.It is approximately equal to the distance at which the electrical potential is37 percent of the value at the particle surface. However, it is still importantto know the EDL thickness because it provides insight into the particlestability and the coagulation process.

    EFFECT OF IONIC STRENGTH

    Of the many factors that affect double-layer thickness, ionic strength isperhaps the most important. As reported in Table 9-3, the EDL thicknessshrinks dramatically with increasing ionic strength and valance. Accordingto the DLVO theory, van der Waals forces extend out into solution about10 Å; consequently, if the double layer is smaller than this, a rapidly floc-culating suspension is formed. While it is possible to reduce the thicknessof the EDL by increasing the ionic strength, this is not a practical methodfor destabilizing particles in drinking water treatment because the requiredionic strengths are greater than are considered acceptable in potable water.It is interesting to note that ionic strength can be used to explain whyparticles are stable in freshwater (low ionic strength but high electricalrepulsive forces) and flocculate rapidly in salt water (high ionic strengthbut low electrical repulsive forces). Determination of the thickness of thedouble layer as function of the ionic strength is illustrated in Example 9-1.

    EFFECT OF COUNTERIONS

    If the charge on the counterions in solution is altered, the thickness of theEDL will be reduced, as illustrated in Table 9-3. The ionic concentrationthat results in the reduction of the EDL to the point where flocculationoccurs is defined as the critical coagulation concentration (CCC) and willdepend on the type of particulate as well as the dissolved ions. Accordingto the DLVO theory, the CCC is inversely proportional to the sixth powerof the charge on the ion. Thus, the CCC values for mono-, di-, and trivalentions are in the ratio of 1: 12

    6: 13

    6, or 100: 1.6: 0.14 percent, assuming that the

    electrolytes do not adsorb or precipitate. The above relationship is knownas the Schultz–Hardy rule, which was originally observed in the 1880s

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  • 556 9 Coagulation and Flocculation

    Example 9-1 Determination of thickness of electricaldouble layer

    Verify that the values in Table 9-3 are correct for 0.001 M solutions ofmonovalent and divalent ions using Eq. 9-4.

    Solution1. Determine the ionic strength I for a molarity of 0.001 for chemical

    constituents with a charge of 1 and 2.a. Determine the ionic strength for Z = +1 and −1:

    1 = 12

    ∑Z2M = 1

    2

    ∑ (+1)2 (0.001) + (−1)2 (0.001) = 0.001 mol/Lb. Determine the ionic strength for Z = +2 and −2:

    1 = 12

    ∑Z2M = 1

    2

    ∑ (+2)2 (0.001) + (−2)2 (0.001) = 0.004 mol/L2. Substitute known terms in Eq. 9-4 and solve for 1/κ:

    a. For M = 0.001, Z = +1, −1, and I = 0.001 mol/L,κ−1 =

    (1010 Å/m

    )

    ×

    ⎡⎢⎣ (2)

    (1000 L/m3

    )(1.60219 × 10−19 C

    )2(6.02205 × 1023 mol−1

    )(0.001 mol/L

    )(78.54)

    (8.854188 × 10−12 C2/J · m

    )(1.38066 × 10−23 J/K)(273 + 25 K)

    ⎤⎥⎦

    −1/2

    = 96.2 Åb. For M = 0.001, Z = +2, −2, and I = 0.004 mol/L,

    κ−1 =(1010 Å/m

    )

    ×

    ⎡⎢⎣ (2)

    (1000 L/m3

    )(1.60219 × 10−19 C

    )2(6.02205 × 1023 mol−1

    )(0.004 mol/L

    )(78.54)

    (8.854188 × 10−12 C2/J · m

    )(1.38066 × 10−23 J/K)(273 + 25 K)

    ⎤⎥⎦

    −1/2

    = 48.1 Å

    Comment

    The above computation illustrates the importance of the charge of the ionicspecies, as reported in Table 9-3.

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  • 9-3 Coagulation Theory 557

    Kruyt, 1952). Thus, if 3000 mg/L of NaCl will produce rapid flocculation ofhydrophobic particulates, then 47 mg/L of CaCl2 will achieve similar results.It should also be noted that if multivalent ions comprise the fixed layernext to a negatively charged particle, the EDL will be reduced significantlyand the CCC value would be much lower than predicted by the theory (forthe Schultz–Hardy rule).

    9-3 Coagulation Theory

    The electrical properties of particles were considered in the previoussection. Coagulation, as described in Sec. 9-1, is the process used to destabi-lize the particles found in waters so that they may be removed by subsequentseparation processes. The purpose of this section is to introduce the prin-cipal coagulation mechanisms responsible for particle destabilization andremoval. Coagulation practice including the principal chemicals used forcoagulation in water treatment and jar testing is presented and discussedin Sec. 9-4.

    Mechanisms that can be exploited to achieve particulate destabilizationinclude (1) compression of the electrical double layer, (2) adsorptionand charge neutralization, (3) adsorption and interparticle bridging, and(4) enmeshment in a precipitate, or ‘‘sweep floc.’’ While these mechanismsare discussed separately here, it will become apparent that each onehas certain pitfalls, and this is the reason that destabilization strategiesexploit several mechanisms simultaneously. It should also be noted thatcompression of the electrical double layer, discussed in the previous section,is also considered a coagulation mechanism but is not discussed herebecause increasing the ionic strength is not practiced in water treatment.

    Adsorptionand Charge

    Neutralization

    Particulates can be destabilized by adsorption of oppositely charged ions orpolymers. Most particulates in natural waters are negatively charged (clays,humic acids, bacteria) in the neutral pH range (pH 6 to 8); consequently,hydrolyzed metal salts, prehydrolyzed metal salts, and cationic organicpolymers can be used to destabilize particles through charge neutralization.Cationic organic polymers can be used as primary coagulants, but they aremost often used in conjunction with inorganic coagulants to form particlebridges, as discussed below. Generally, the optimum coagulant dose occurswhen the particle surface is only partially covered (less than 50 percent).Polymers of high charge density and low to moderate molecular weights(10,000 to 100,000) are believed to be adsorbed on negatively chargedparticles as a patch on the surface and do not extend much from thesurface. The optimum dose appears to increase in proportion to thesurface area concentration of the particulates.

    When the proper amount of polymer has adsorbed, the charge isneutralized and the particle will flocculate. When too much polymer has

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  • 558 9 Coagulation and Flocculation

    Figure 9-7Destabilization of a kaolinite claysuspension with cationic polymer No. 4.Initial clay concentration = 73.2 mg/L.(Adapted from Black et al., 1966.)

    0 0.2 0.4 0.6 0.8 1.0

    Polymer dosage, mg/L

    Res

    idua

    ltu

    rbid

    ity, N

    TU

    Ele

    ctro

    phor

    etic

    mob

    ility

    ,(μ

    m/s

    )/(V

    /cm

    )

    +2

    +1

    0

    −2

    −1

    0

    0.2

    0.1

    0.3

    0.4

    0.5

    120

    100

    80

    60

    40

    200

    Pol

    ymer

    adso

    rbed

    , mg/

    L

    been added, the particles will attain a positive charge and become stableonce again. This phenomenon is demonstrated by the classical experimentsof Black et al. (1966), which are shown on Fig. 9-7. For polymer dosagesup to 0.7 mg/L, the electrophoretic mobility becomes more positive andthe amount adsorbed increases. Higher dosages cause charge reversal,particle stability, and a higher residual turbidity. Cationic polymers andpolyaluminum chloride (PACl) are said to exhibit stoichiometry becausea certain amount of charge exists on the particle suspension surface, andwhen the precise amount of coagulant is added, a rapidly flocculatingsuspension is created.

    Adsorptionand InterparticleBridging

    Polymer bridging is complex and has not been adequately describedanalytically. Schematically, polymer chains adsorb on particle surfaces atone or more sites along the polymer chain as a result of (1) coulom-bic (charge–charge) interactions, (2) dipole interaction, (3) hydrogenbonding, and (4) van der Waals forces of attraction (Hunter, 2001). Therest of the polymer may remain extended into the solution and adsorbon available surface sites of other particles, thus creating a ‘‘bridge’’between particle surfaces. If the extended polymer cannot find vacant siteson the surface of other particulates, no bridging will occur. Thus, there

  • 9-3 Coagulation Theory 559

    is an optimum degree of coverage or extent of polymer adsorption atwhich the rate of aggregation will be a maximum. Polymer bridging isan adsorption phenomenon; consequently, the optimum coagulant dosewill generally be proportional to the concentration of particulates present.Adsorption and interparticle bridging occur with nonionic polymers andhigh-molecular-weight (MW 105 to 107), low-surface-charge polymers. High-molecular-weight cationic polymers have a high charge density to neutralizesurface charge.

    REACTION MECHANISMS FOR POLYMERS

    A schematic of the reaction mechanisms for polymers is shown on Fig. 9-8.At the optimum dosage of polymer shown in reaction (a), the particles aredestabilized and can subsequently flocculate, as shown in reaction (b). Ifthe particle concentration is very low or if adequate mixing does not allowflocculation, then nonadsorbed ends of the polymers will eventually adsorbon the destabilized particle, causing it to restabilize, as shown in reaction(c). If too much polymer is added, all adsorption sites will be taken up andthe particle will not flocculate, as shown in reaction (d). If the particlesare mixed for too long or too intensively, they will break up, as shown inreaction (e).

    POLYMER SELECTION

    Because polymer–solution interactions are complex, polymer selection isbased on empirical testing. In general, though, anionic polymers havebeen shown to be effective flocculant aids, while nonionic polymers havebeen effective as filter aids. Polymer selection for sludge conditioningis dependent on sludge properties, polymer properties, and the mixingenvironment (O’Brien and Novak, 1977). Polymer bridging is the dominantmechanism in sludge conditioning, and thus polymer molecular weight isthe dominant property of interest. For each system, the optimum polymerdose, mixing conditions, and pH must be determined empirically.

    Precipitationand Enmeshment

    When high enough dosages are used, aluminum and iron form insolubleprecipitates and particulate matter becomes entrapped in the amorphousprecipitates. This type of destabilization has been described as precipitationand enmeshment or sweep floc (Packham, 1965; Stumm and O’Melia, 1968).Although the molecular events leading to sweep floc have not been definedclearly, the steps for iron and aluminum salts at lower coagulant dosages areas follows: (1) hydrolysis and polymerization of metal ions, (2) adsorption ofhydrolysis products at the interface, and (3) charge neutralization. At highdosages, it is likely that nucleation of the precipitate occurs on the surfaceof particulates, leading to the growth of an amorphous precipitate withthe entrapment of particles in this amorphous structure. This mechanismpredominates in water treatment applications where pH values are generallymaintained between pH 6 and 8, and aluminum or iron salts are used at

  • 560 9 Coagulation and Flocculation

    Particle destabilizationresults from polymer

    bonding

    Particles and polymerflocculate due to perikinetic

    and orthokinetic forces

    Polymer added toparticulate suspension

    at correct dosage

    StableparticlesPolymer

    Excessive dosageof polymer added

    Insufficient mixing conditionsresults in particle restabilization

    and poor floc formation

    Correctmixing

    Excessivemixing

    Destabilizedparticles Floc

    particle

    Particles and polymerflocculate due to perikinetic

    and orthokinetic forces

    Floc ruptures dueto high or prolonged

    mixing conditions

    Flocparticle

    (a) (b)

    (c) (d)

    (e)

    Secondaryadsorption

    Inactive particles

    Flocfragments

    Particlesenmeshedin polymer

    matrix

    Figure 9-8Schematic representation of the bridging model for the destabilization of particles by polymers. (Adapted from O’Melia, 1972.)

    concentrations exceeding saturation with respect to the amorphous metalhydroxide solid that is formed.

    One interesting finding regarding sweep floc is that, in general, thesweep floc mechanism does not depend on the type of particle, and,thus, the same dosage of coagulant is required for sweep floc formationregardless of the type of particles that may be present (in the absence of

  • 9-4 Coagulation Practice 561

    54

    Al 2

    (SO

    4)3

    .14H

    2O, m

    g/L

    6 7 8 9 10

    pH

    0

    50

    100

    150

    200

    Various claysOrganics

    Legend

    Figure 9-9Coagulation of various types of clays and organics,which supports hypothesis that sweep floc is notinfluenced by type of particles present: (©) clays and(�) organics. (Adapted from Packman, 1962.)

    NOM). The dosage of alum required to reduce the turbidity of a variety ofparticles is displayed on Fig. 9-9. Although the dosage does not depend onthe type of particles, it does depend on the pH, as expected. However, acaveat that should be mentioned is that the coagulant demand exerted byNOM is not reflected on Fig. 9-9. Thus, the concentration of hydrolyzingmetal salts that is required for sweep floc will depend on the type andconcentration of NOM, which unfortunately is site specific. The effects ofNOM on coagulation practice are considered in Sec. 9-5.

    9-4 Coagulation Practice

    Selection of the type and dose of coagulant depends on the characteristicsof the coagulant, the concentration and type of particulates, concentrationand characteristics of NOM, water temperature, and water quality. Atpresent, the interdependence of these five elements is only understoodqualitatively, and prediction of the optimum coagulant combination fromcharacteristics of the particulates and the water quality is not yet possible.The purpose of this section is to introduce coagulation practice, includingthe types of inorganic and organic coagulants and coagulant aids used, andalternative techniques used to reduce coagulant dosages.

    Inorganic MetallicCoagulants

    Inorganic coagulants, coagulant aids, and the chemicals used for alkalinityand pH adjustment are summarized in Table 9-4. Of the chemicals listedin Table 9-4, the principal inorganic coagulants used in water treatmentare salts of aluminum and ferric ions and prehydrolyzed salts of thesemetals. These hydrolyzable metal cations are readily available as sulfate or

  • 562 9 Coagulation and Flocculation

    Table 9-4Common inorganic coagulants, coagulant aids, and pH and alkalinity adjusting chemicals used inwater treatment

    MolecularClassification Chemical Formula Weight, g/mol Application

    CoagulantsAluminum sulfate Al2(SO4)3 · 14H2O 594.4 Primary coagulantSodium aluminate Na2Al2O4 163.9 Used with alum; provides

    alkalinity and pH controlAluminum chloride AlCl3 160.3 Used in blends with organic

    polymersPolyaluminum chloride(PACl)a

    Ala(OH)b(Cl)c(SO4)d Variable Primary coagulant

    Polyaluminum sulfate (PAS)b Ala(OH)b(Cl)c(SO4)d Variable Primary coagulant, producedonsite

    Polyiron chloridec Fea(OH)b(Cl)c(SO4)d Variable Primary coagulant, producedonsite

    Ferric chloride FeCl3 162.2 Primary coagulantFerric sulfate Fe2(SO4)3 400.0 Primary coagulant

    Coagulant aidsActivated silica SiO2 60.0 Coagulant aid used with alum

    during cold winter monthsSodium silicate Na2O(SiO2)3−25 242–1562 Coagulant aid, produced onsiteBentonite Al2Si2O5(OH)4 258 Used to provide nucleation

    sites for enhanced coagulation

    Alkalinity and pH adjustmentCalcium hydroxide Ca(OH)2 56.1 as CaO Used to provide alkalinity and

    adjust pHSodium hydroxide NaOH 40.0 Used to provide alkalinity and

    adjust pHSoda ash Na2CO3 106.0 Used to provide alkalinity and

    adjust pH

    aPrehydrolyzed metal salts made from aluminum chloride.bPrehydrolyzed metal salts made from aluminum sulfate.cPrehydrolyzed metal salts made from iron chloride.

    chloride salts in both liquid and solid (dry) forms. In the United States, thepredominant water treatment coagulant is aluminum sulfate, or ‘‘alum,’’sold in a hydrated form as Al2(SO4)3 · xH2O, where x is usually 14 becauseit is the least expensive coagulant. The action, solubility, and application ofthese coagulants are considered in the following discussion.

    ACTION OF ALUM AND IRON SALTS

    When ferric or aluminum ions are added to water, a number of paralleland sequential reactions occur. Initially, when a salt of Al(III) and Fe(III)

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  • 9-4 Coagulation Practice 563

    is added to water, it will dissociate to yield trivalent Al3+ and Fe3+ ions, asgiven below:

    Al2 (SO4)3 � 2Al3+ + 3SO42− (9-5)FeCl3 � Fe3+ + 3Cl− (9-6)

    The trivalent ions of Al3+ and Fe3+ then hydrate to form the aquometalcomplexes Al(H2O)63+ and Fe(H2O)63+, as shown on the left-hand side ofEq. 9-7. As shown, the metal ion (aluminum in this case) has a coordinationnumber of 6 and six water molecules orient themselves around themetal ion:⎡

    ⎣H2O OH2H2O − Al − OH2H2O OH2

    ⎤⎦

    3+

    ⎡⎣H2O OHH2O − Al − OH2

    H2O OH2

    ⎤⎦

    2+

    + H+ (9-7)

    These aquometal complexes then pass through a series of hydrolytic reac-tions, as illustrated on the right-hand side of Eq. 9-8, which give riseto the formation of a variety of soluble mononuclear (one aluminumion) and polynuclear (several aluminum ions) species, as illustrated onFig. 9-10. The mononuclear species—Al(H2O)5(OH)2+ [or just Al(OH)2+]and Al(H2O)4(OH)2+ [or just Al(OH)2+]—are among the many speciesformed. Similarly, iron forms a variety of soluble species, including mononu-clear species (one iron ion) such as Fe(H2O)5(OH)2+ [or just Fe(OH)2+]and Fe(H2O)4(OH)2+ [or just Fe(OH)2+].

    Al(H2O)63+

    Al(OH)(H2O)52+

    Al(OH)3(s)

    Al(OH)4−

    Hydrogen ion

    Hydrogen ion

    Hydrogen ion

    Hydrogen ion

    Aquo Al ion

    Mononuclear species

    Polynuclear species

    Precipitate

    Aluminate ion

    Al13O4(OH)247+

    Figure 9-10Aluminum hydrolysis products. The dashed lines are used todenote an unknown sequence of reactions. (Adapted fromLetterman, 1981)

  • 564 9 Coagulation and Flocculation

    Polynuclear species such as Al18(OH)204+ form via hydroxyl bridges. Forexample, a hydroxyl bridge for two aluminum atoms is shown below:

    2 Al(H2O)5(OH)2+ [(H2O)4

    OH

    Al Al

    OH

    (H2O)4]4+ + 2H2O (9-8)

    It should be noted that all of these mononuclear and polynuclear speciescan interact with the particles in water, depending on the characteristics ofthe water and the number of particles. Unfortunately, it is difficult to controland know which mononuclear and polynuclear species are operative. Aswill be discussed later, this uncertainty gave rise to the development ofprehydrolyzed metal salt coagulants.

    SOLUBILITY OF METAL SALTS

    The solubility of the various alum [Al(III)] and iron [Fe(III)] species areillustrated on Figs. 9-11a and 9-11b, respectively, in which the log molar con-centrations have been plotted versus pH. The equilibrium diagrams shownon Figs. 9-11a and 9-11b were created using equilibrium constants for themajor hydrolysis reactions that have been estimated after approximately 1 hof reaction time (upper limit of coagulation/flocculation detention times).Accordingly, the composition of aluminum and iron species in contact withthe freshly precipitated hydroxide (amorphous) is illustrated on Figs. 9-11aand 9-11b. In preparing these diagrams, only the mononuclear species for

    −8

    −7

    −6

    −5

    −4

    −3

    −2

    1

    10

    100300

    30

    3

    0.3

    0 2 4 6 8 10 12 14

    log[

    Al],

    mol

    /L

    pH of mixed solution pH of mixed solution

    −12

    −10

    −8

    −6

    −4

    −2

    0

    0.27

    2.727270

    0 2 4 6 8 10 12 14

    log[

    Fe]

    , mol

    /L

    (a) (b)

    Fer

    ric a

    s F

    eCl 3

    . 6 H

    2O, m

    g/L

    Alu

    m a

    s A

    l 2(S

    O4)

    3. 1

    4.3

    H2O

    , mg/

    L

    Adsorptiondestabilization

    Sweepcoagulation

    Fe3+

    Fetotal

    Fe(OH)2

    +

    Fe(OH)4−

    (AM) Fe(OH) (s)3

    Fe(OH)2+

    Restabilization zone(changes with colloidor surface area)

    Charge neutralizationto zero zeta potentialwith Al(OH)3 (s)

    Charge neutralization tozero zeta potential withAlx(OH)y

    n+/Al(OH)3 (s)

    Sweepcoagulation Al(OH)4

    -

    Al(OH)2+

    Altotal

    Adsorptiondestabilization

    Restabil-ization zone

    (boundarychanges

    with colloid)

    Al3+

    Combination(sweep andadsorption)

    Optimal sweep

    (AM) Al(OH)3 (s)

    Figure 9-11Solubility diagram for (a) Al(III) and (b) Fe(III) at 25◦C. Only the mononuclear species have been plotted. The metal species areassumed to be in equilibrium with the amorphous precipitated solid phase. Typical operating ranges for coagulants: (a) alumand (b) iron. (Adapted from Amirtharajah and Mills, 1982)

  • 9-4 Coagulation Practice 565

    Table 9-5Reactions and associated equilibrium constants for aluminum and iron species in equilibriumwith amorphous aluminum hydroxide and ferric hydroxide

    Acid Equilibrium Constants

    Equilibrium Range, Used forReaction Constant log K Fig. 9-11

    Aluminum, Al(III)Al(OH)3(s) + 3H+ → Al3+ + 3H2O Ks0 9.0–10.8 10.8Al(OH)3(s) + 2H+ → Al(OH)2+ + 2H2O Ks1 4.0–5.8 5.8Al(OH)3(s) + H+ → Al(OH)2+ + H2O Ks2 0.7–1.5 0.7Al(OH)3(s) → Al(OH)03 Ks3 −4.2 to −6.1 −6.1Al(OH)3(s) + H2O → Al(OH)4− + H+ Ks4 −7.7 to −12.5 −11.9Species not considered: Al2(OH)24+ ,

    Al8(OH)204+, Al13O4(OH)247+ , Al14(OH)3210+

    Iron, Fe(III)Fe(OH)3(s) + 3H+ → Fe3+ + 3H2O Ks0 3.2–4.891 3.2Fe(OH)3(s) + 2H+ → Fe(OH)2+ + 2H2O Ks1 0.91–2.701 1.0Fe(OH)3(s) + H+ → Fe(OH)2+ + H2O Ks2 −0.779 to −2.5 −2.5Fe(OH)3(s) → Fe(OH)30 Ks3 −8.709 to −12.0 −12.0Fe(OH)3(s) + H2O → Fe(OH)4− + H+ Ks4 −16.709 to −19 −18.4Species not considered: Fe2(OH)24+ ,

    Fe3(OH)45+

    Source: Benefield et al. (1982), McMurry and Fay (2003), Morel and Hering (1993), Nordstrom and May (1989a, b), Pankow(1991), Snoeyink and Jenkins (1980), Sawyer et al. (2002), and Stumm and Morgan (1981).

    alum and iron have been plotted. The various mononuclear species foralum and iron are given in Table 9-5, along with the corresponding rangeof acid solubility products reported in the literature and the values usedto prepare Figs. 9-11a and 9-11b. The approximate total concentration ofresidual soluble alum (see Fig. 9-11a) and iron (see Fig. 9-11b) in solutionafter precipitation is identified by the solid line. Aluminum hydroxide andferric hydroxide are precipitated within the shaded areas, and polynuclearand polymeric species are formed outside of the shaded areas at higher andlower pH values. It should also be noted that the structure of the precip-itated iron is far more compact and inert as compared to the amorphousnature of precipitated aluminum.

    In most water treatment applications for removal of turbidity, disinfec-tion by-product precursors (NOM), and color, the pH during coagulationranges between 6 and 8. The lower limit is imposed to prevent acceleratedcorrosion rates that occur at pH values below pH 6. The regions shown onFigs. 9-11a and 9-11b correspond to the operating pH and dosage rangesthat are normally used in water treatment when alum and iron are used

  • 566 9 Coagulation and Flocculation

    in the sweep floc mode of operation. The operating region for aluminumhydroxide precipitation is in a pH range of 5.5 to about 7.7, with minimumsolubility occurring at a pH of about 6.2 at 25◦C, and from about 5 to 8.5for iron precipitation, with minimum solubility occurring at a pH of 8.0.The importance of pH in controlling the concentration of soluble metalspecies that will pass through the treatment process is illustrated on Figs.9-11a and 9-11b. The effect of temperature on the solubility products foraluminum is also illustrated on Fig. 9-11a. As shown, the point of minimumsolubility for alum shifts with temperature, which has a significant impacton the operation of water treatment plants where alum is used as thecoagulant. Comparing the solubility of alum and ferric species, the ferricspecies are more insoluble than aluminum species and are also insolubleover a wider pH range. Thus, ferric ion is often the coagulant of choiceto aid destabilization in the lime-softening process, which is carried out athigher pH values (pH 9).

    STOICHIOMETRY OF METAL ION COAGULANTS

    The overall stoichiometric reactions for aluminum and ferric ion in theformation of hydroxide precipitates are given by Eqs. 9-9 and 9-10. As shown,each mole of trivalent ion will produce 1 mole of the metal hydroxide and3 moles of hydrogen ions:

    Al3+ + 3H2O � Al (OH)3, am↓ + 3H+ (9-9)Fe3+ + 3H2O � Fe (OH)3,am↓ + 3H+ (9-10)

    The ‘‘am’’ subscripts in Eqs. 9-9 and 9-10 refer to amorphous solids(hours old), which have a much higher solubility product than crystallineprecipitates.

    When alum is added to water and aluminum hydroxide precipitates, theoverall reaction is

    Al2(SO4)3 · 14H2O → 2Al(OH)3↓ + 6H+ + 3SO42− + 8H2O (9-11)Similarly, the overall reactions for ferric chloride and ferric sulfate are asfollows:

    Ferric chloride:

    FeCl3 + 3H2O → Fe(OH)3↓ + 3H+ + 3Cl− (9-12)Ferric sulfate:

    Fe2(SO4)3 · 9H2O → 2Fe(OH)3↓ + 6H+ + 3SO42− + 3H2O (9-13)After Al(OH)3 or Fe(OH)3 precipitates, the species remaining in water arethe same as if H2SO4 or HCl had been added to the water. Thus, addingalum or ferric is like adding a strong acid. A strong acid will lower the pHand consume alkalinity. Alkalinity is the acid-neutralizing capacity of waterand is consumed on an equivalent basis; that is, 1 meq/L of alum or ferric

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  • 9-4 Coagulation Practice 567

    will consume 1 meq/L of alkalinity. Since alkalinity buffers water againstchanges in pH, the change in pH following coagulant addition depends onthe initial alkalinity. If the natural alkalinity of the water is not sufficient tobuffer the pH, it may be necessary to add alkalinity to the water to keepthe pH from dropping too low. Alkalinity can be added in the form ofcaustic soda (NaOH), lime [Ca(OH)2], or soda ash (Na2CO3). In manywater plants, caustic soda is often used because it is easy to handle andthe required dosage is relatively small. The reaction for alum with causticsoda is

    Al2 (SO4)3 · 14H2O + 6NaOH → 2Al (OH)3,am↓ + 3Na2SO4 + 14H2O(9-14)

    The corresponding reaction for lime is given by the expression

    Al2 (SO4)3 · 14H2O + 3Ca (OH)2 → 2Al (OH)3,am↓ + 3CaSO4 + 14H2O(9-15)

    Coagulants are typically purchased in a concentrated liquid form. Cal-culating coagulant doses can be confusing because the stock chemicalconcentration is often reported in percent by weight and the density ofthe stock solution will be significantly heavier than water. In addition, theextent of hydration of the alum or ferric will vary or be unknown in the stocksolution, which affects the formula weight of the chemical. To get aroundthis issue, chemical manufacturers will sometimes report the concentrationof the coagulant as a different formula entirely, for example, stock alumconcentration is often reported as percent as Al2O3, even though the chem-ical present is Al2(SO4)3 · xH2O. Ferric chloride may be reported with orwithout waters of hydration (i.e., FeCl3 · 6H2O or FeCl3) or as soluble iron(Fe3+). To calculate doses accurately, the density and chemical formulaused by the chemical manufacturer to report the concentration must beknown. The application of these principles and the above equations is illus-trated in Example 9-2. Note that the sludge produced during coagulationconsists of both the precipitate formed in the reactions shown above andthe solids that were present in the source water. Example 21-2 in Chap. 21demonstrates the procedure for calculating the amount of sludge producedconsidering both components.

    Example 9-2 Calculation of coagulant doses, alkalinityconsumption, and precipitate formation

    A chemical supplier reports the concentration of stock alum chemical as8.37 percent as Al2O3 with a specific gravity of 1.32. For the stock chemical,calculate (a) the molarity of Al3+ and (b) the alum concentration if reportedas g/L Al2(SO4)3 · 14H2O. Also, for a 30-mg/L alum dose applied to a

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  • 568 9 Coagulation and Flocculation

    treatment plant with a capacity of 43,200 m3/d (0.5 m3/s), calculate (c) thechemical feed rate in L/min, (d) the alkalinity consumed (expressed as mg/Las CaCO3), (e) the amount of precipitate produced in mg/L and kg/day,and (f) the amount of NaOH that would need to be added to counteract theconsumption of alkalinity by alum.

    Solution1. Calculate the formula weights (FW) for Al2O3, Al2(SO4)3 · 14H2O,

    Al(OH)3, and NaOH, given molecular weights: Al = 27, O = 16, H = 1,S = 32, and Na = 23 g/mol.FW: Al2O3 = 2(27) + 3(16) = 102 g/molFW: Al2(SO4)3·14H2O = 2(27) + 3(32) + 26(16) + 28(1) = 594 g/molFW: Al(OH)3 = 27 + 3(16) + 3(1) = 78 g/molFW: NaOH = 23 + 16 + 1 = 40 g/mol

    2. Calculate the molar concentration of Al3+ in the stock alum chemical.a. Calculate the density of stock chemical:

    ρstock = 1.32(1 kg/L

    ) = 1.32 kg/Lb. Calculate the concentration of alum in the stock chemical as mg/L

    Al2O3:

    Cstock = 0.0837(1.32 kg/L

    ) (103 g/kg

    )= 110.5 g/L Al2O3

    c. Calculate the molar concentration of Al3+ in the stock alumchemical:[

    Al3+]

    = 110.5 g/L Al2O3(

    mol Al2O3102 g Al2O3

    )(2 mol Al3+

    mol Al2O3

    )= 2.17 mol/L

    3. Calculate the stock alum concentration if reported as g/L Al2(SO4)3 ·14H2O.

    Cstock = 110.5 g/L Al2O3(

    594 g/mol alum102 g/mol Al2O3

    )= 643.5 g/L alum

    4. Calculate the chemical feed rate.By mass balance:

    CstockQfeed = CprocessQprocess

    Qfeed =CprocessQprocess

    Cstock=

    (30 mg/L

    ) (43,200 m3/d

    ) (103 L/m3

    )643.5 g/L

    (103 mg/g

    ) (1440 min/d

    ) = 1.40 L/min

  • 9-4 Coagulation Practice 569

    5. Calculate the alkalinity consumed using Eq. 9-11:

    Alk = [30 mg/L alum] ( 1 mmol alum594 mg alum

    ) (3 mmol SO42−

    mmol alum

    )(2 meq SO42−

    mmol SO42−

    )

    ×(

    1 meq alkmeq SO42−

    ) (50 mg CaCO3

    meq alk

    )= 15 mg/L as CaCO3

    6. Calculate the precipitate formed using Eq. 9-11:[Al(OH)3

    ] = [30 mg/L alum] ( 1 mmol alum594 mg alum

    ) [2 mmol Al(OH)3

    mmol alum

    ] [78 mg Al(OH)3mmol Al(OH)3

    ]

    = 7.88 mg/L Al(OH)3

    [Al(OH)3

    ] =(7.88 mg/L

    ) (43,200 m3/d

    ) (103 L/m3

    )(106 mg/kg

    ) = 340 kg/d7. Calculate the NaOH dose required to counteract the alkalinity con-

    sumption using Eq. 9-14:[NaOH

    ] = [30 mg/L alum] ( 1 mmol alum594 mg alum

    ) (6 mmol NaOH

    mmol alum

    ) (40 mg NaOHmmol NaOH

    )

    = 12.1 mg/L NaOH

    CommentThe sludge produced by coagulation has two components the precipitateformed by the reactions shown above and the particles from the raw water.Calculation of the total amount of sludge produced during coagulationconsidering both components is illustrated in Example 21-2.

    APPLICATION OF METAL SALTS IN WATER TREATMENT

    Because of the sequence of reactions that follow the addition of alum oriron salts, as discussed above and illustrated on Fig. 9-10, it is not possible topredict a priori the performance of a coagulation process. Consequently,jar testing is typically used for coagulant/coagulant aid screening, andthese results must be evaluated in the full-scale operation. Nevertheless, itis useful to review some general aspects of coagulation practice, including(1) the operating regions for the alum and iron, (2) interactions with otherconstituents in water, (3) typical dosages, and (4) the importance of initialblending when using metal salts. As noted in Chap. 6, blending is a mixingprocess to combine two liquid streams to achieve a specified level of unifor-mity. Guidance on the use of coagulants is provided in Table 9-6. Additionaleffects of NOM on the coagulation process are considered in Sec. 9-5.

    IBMHighlight

  • Tabl

    e9-

    6Ap

    plic

    atio

    ngu

    idan

    cefo

    rAl

    (III)

    and

    Fe(II

    I)as

    coag

    ulan

    tsan

    dpr

    ehyd

    roly

    zed

    met

    alco

    agul

    ants

    used

    inw

    ater

    trea

    tmen

    t

    Wat

    erQ

    ualit

    yC

    oagu

    lant

    Para

    met

    erAl

    um(II

    I)Fe

    (III)

    PAC

    I

    Turb

    idity

    For

    low

    -turb

    idity

    wat

    ers

    (i.e.

    ,low

    part

    icle

    conc

    entr

    atio

    n),s

    wee

    pflo

    cw

    illbe

    requ

    ired.

    For

    low

    -turb

    idity

    wat

    ers

    (i.e.

    ,lo

    wpa

    rtic

    leco

    ncen

    trat

    ion)

    ,sw

    eep

    floc

    will

    bere

    quire

    d.

    For

    low

    -turb

    idity

    wat

    ers

    (i.e.

    ,low

    part

    icle

    conc

    entr

    atio

    n),s

    wee

    pflo

    cw

    illbe

    requ

    ired.

    Med

    ium

    -bas

    icity

    PACl

    s(4

    0–5

    0%)a

    resu

    itabl

    efo

    rco

    ldw

    ater

    sw

    ithlo

    wtu

    rbid

    ity.

    Alka

    linity

    High

    alka

    linity

    valu

    esm

    ake

    pHad

    just

    men

    tfor

    optim

    umco

    agul

    atio

    nm

    ore

    diffi

    cult.

    Ifsu

    ffici

    enta

    lkal

    inity

    isno

    tpre

    sent

    ,sol

    uble

    alum

    inum

    isfo

    rmed

    ,whi

    chca

    nre

    sult

    inpo

    stflo

    ccul

    atio

    nin

    dow

    nstr

    eam

    proc

    esse

    s.Su

    pple

    men

    tala

    lkal

    inity

    shou

    ldbe

    adde

    dbe

    fore

    coag

    ulan

    t.

    Alth

    ough

    high

    alka

    linity

    valu

    esm

    ake

    pHad

    just

    men

    tfor

    optim

    umco

    agul

    atio

    nm

    ore

    diffi

    cult,

    itsim

    pact

    onco

    agul

    atio

    nus

    ing

    Feis

    less

    than

    Al.

    pHTh

    eop

    timum

    pHra

    nge

    isbe

    twee

    n5.

    5an

    d7.

    7bu

    twill

    fluct

    uate

    seas

    onal

    ly(s

    eeFi

    g.9-

    11).

    Typi

    cally

    ,the

    optim

    umpH

    will

    bene

    arer

    6in

    the

    sum

    mer

    and

    7in

    the

    cold

    erw

    inte

    rm

    onth

    s.Hi

    gher

    pHle

    vels

    ofte

    nco

    rres

    pond

    tope

    riods

    ofal

    galg

    row

    th,w

    hich

    intu

    rnw

    illaf

    fect

    the

    coag

    ulan

    tdos

    e.

    The

    optim

    umpH

    rang

    eis

    from

    5to

    8.5

    orm

    ore

    (see

    Fig.

    9-11

    ).

    PACl

    sar

    ele

    ssse

    nsiti

    veto

    pH.C

    anbe

    used

    over

    the

    pHra

    nge

    of4.

    5–9

    .5.

    570

    IBMHighlight

    IBMHighlight

  • NO

    MTh

    ere

    mov

    alof

    NO

    Mw

    illno

    rmal

    lyco

    ntro

    lthe

    coag

    ulan

    tdos

    e.Re

    mov

    alof

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    Mte

    nds

    toin

    crea

    seas

    pHis

    redu

    ced.

    Rem

    oval

    ofup

    to70

    %ha

    sbe

    enac

    hiev

    ed.

    The

    rem

    oval

    ofN

    OM

    will

    norm

    ally

    cont

    rolt

    heco

    agul

    ant

    dose

    .Rem

    oval

    ofN

    OM

    tend

    sto

    incr

    ease

    aspH

    isre

    duce

    d.Re

    mov

    alof

    upto

    80%

    has

    been

    achi

    eved

    .

    The

    rem

    oval

    ofN

    OM

    will

    norm

    ally

    cont

    rolt

    heco

    agul

    antd

    ose.

    Rem

    oval

    ofN

    OM

    tend

    sto

    incr

    ease

    asth

    epH

    isre

    duce

    d.Re

    mov

    als

    ofup

    to70

    %ha

    vebe

    enac

    hiev

    ed.L

    ow-b

    asic

    ityPA

    Cls

    (up

    to20

    %)a

    resu

    itabl

    efo

    rw

    ater

    shi

    ghin

    colo

    ran

    dto

    talo

    rgan

    icca

    rbon

    .

    Tem

    pera

    ture

    Tem

    pera

    ture

    affe

    cts

    solu

    bilit

    ypr

    oduc

    ts.F

    loc

    form

    edin

    cold

    erw

    ater

    tend

    sto

    bew

    eake

    r.

    Floc

    form

    edin

    cold

    erw

    ater

    tend

    sto

    bew

    eake

    r.

    Mix

    ing

    Hydr

    olys

    isre

    actio

    nsar

    eve

    ryfa

    st.

    Mix

    ing

    times

    shou

    ldbe

    less

    than

    1s

    and

    pref

    erab

    lyle

    ssth

    an0.

    5s.

    Hydr

    olys

    isre

    actio

    nsar

    eve

    ryfa

    st.M

    ixin

    gtim

    essh

    ould

    bele

    ssth

    an1

    san

    dpr

    efer

    ably

    less

    than

    0.5

    s.

    Beca

    use

    the

    PACl

    ispr

    ehyd

    roly

    zed,

    the

    initi

    albl

    endi

    ngtim

    eis

    som

    ewha

    tle

    sscr

    itica

    l.

    571

  • 572 9 Coagulation and Flocculation

    OPERATING REGIONS FOR METAL SALTS

    Because the chemistry of the various reactions discussed above is so complex,there is no complete theory to explain the action of hydrolyzed metal ions.To qualitatively describe the application of alum as a function of pH, takinginto account the action of alum as described above, Amirtharajah and Mills(1982) developed the diagrams shown on Fig. 9-11. It is important to notethat the generalized information represented on Fig. 9-11 does not reflectthe effects of NOM on the dosages of coagulant required. The approximateregions in which the different phenomena associated with particle removalin conventional sedimentation and filtration applications are plotted as afunction of the alum dose and the pH of the treated effluent after alumhas been added. For example, optimum particle removal by sweep flococcurs in the pH range of 7 to 8 with an alum dose of 20 to 60 mg/L.With proper pH control it is possible to operate with extremely low alumdosages.

    Interactions with other constituents in waterAs with all cations in water, hydrolysis products of aluminum and iron reactwith various ligands (e.g., SO42−, NOM, F−, PO43−) forming both solubleand insoluble products that will influence the quantity or dose of thecoagulant required to achieve a desired level of particle destabilization.Thus, the optimum dose of a coagulant depends strongly on the particularwater chemistry and the types of particles.

    Typical dosagesA typical dosage of alum ranges from 10 to 150 mg/L, depending on raw-water quality and turbidity. Typical dosages of ferric sulfate [Fe2(SO4)3 ·9H2O] and ferric chloride (FeCl3 · 6H2O) range from 10 to 250 mg/L and5 to 150 mg/L, respectively, depending on raw-water quality and turbidity.Ferric chloride is more commonly used than ferric sulfate and comes as aliquid.

    Importance of initial mixing with metal saltsThe rapid initial mixing (known as blending) of the metal salts in watertreatment is extremely important. The sequence of reactions shown onFig. 9-10 occurs rather rapidly (Rubin and Kovac, 1974). For example, ata pH of 4, half of the Al3+ hydrolyzes to Al(OH)2+ within 10−5 s (Baseand Mesmer, 1976). Hudson and Wolfner (1967) noted that ‘‘coagulantshydrolyze and begin to polymerize in a fraction of second after beingadded to water.’’ Hahn and Stumm (1968), studying the coagulation ofsilica dispersions with Al(III), reported that the time required for theformation of mono- and polynuclear hydroxide species was on the order of10−3 s, and the time of formation for the polymer species was on the orderof 10−2 s. The importance of initial and rapid mixing is also discussed byAmirtharajah and Mills (1982) and Vrale and Jorden (1971).

  • 9-4 Coagulation Practice 573

    Clearly, based on the literature and actual field evaluations, the instan-taneous rapid and intense mixing of metal salts is of critical importance,especially where the metal salts are to be used as coagulants to lower thesurface charge of the colloidal particles. It should be noted that, althoughachieving extremely low blending times in large treatment plants is oftendifficult, low blending times can be achieved by using multiple mixers.Typical blending times for various chemicals are reported in Table 6-10 inSec. 6-10, where the subject of mixing is considered in detail.

    PrehydrolyzedMetal Salts

    From the previous discussion of the use of alum and iron salts, it is clearthat it is difficult to control the metal species formed, especially at lowdosages. The unpredictability associated with alum and iron salts led to thedevelopment of prehydrolyzed metal salts. Prehydrolyzed metal salts areprepared by reacting alum or ferric with various salts (e.g., chloride, sulfate)and water and hydroxide under controlled mixing conditions. Severaladvantages of preformed aluminum metal salts include the following:(1) lower dosages may be required for effective coagulation (on the basisof Al3+) for cases where NOM does not dictate the coagulant dosage atneutral or slightly acidic conditions, (2) flocs tend to be tougher and denser(although flocculation aids are still necessary in many cases), and (3) theperformance of prehydrolyzed alum salts is less temperature dependent ascompared to unmodified alum salts. General guidance on the applicationof prehydrolyzed metal salts is given in Table 9-6.

    CHEMICAL COMPOSITION

    The commercial prehydrolyzed alum salts, commonly known as PACl, havethe following overall formula: Ala(OH)b(Cl)c(SO4)d . Although many for-mulations do not contain any sulfate; the presence of sulfate ions helps tostabilize the aluminum polymers and keep them from precipitating. Thesepolymers can be more effective than those formed by simply adding alu-minum salts to solution because the larger cationic polymers can be formedby increasing the hydroxide-to-aluminum ratio (R = OH/Al, see followingbasicity discussion), which can lead to enhanced charge neutralization.Another benefit is that, as the polymer becomes larger, it becomes morecrystalline, compact, and dense. However, as the value of R increases, thepolymers become less stable and may begin to precipitate, which can causea problem in the storage of PACl.

    BASICITY

    As given by Eqs. 9-9 and 9-10, when metal salts such as alum and ironhydrolyze, hydrogen ions are released, which will react with the alkalinityof the water. In the formulation of PACl coagulants, some of the acidthat would have been released is neutralized with base (OH−) when thecoagulant is manufactured. The degree to which the hydrogen ions thatwould be released by hydrolysis are preneutralized is known as the basicity

  • 574 9 Coagulation and Flocculation

    of the product and is given by the following relationship for prehydrolyzedmetal salts that do not contain oxygen:

    Basicity, % = [OH][M] ZM

    × 100 (9-16)

    where [OH]/[M] = molar ratio of hydroxide bound to metal ionZM = charge on metal species

    For example, the basicity of the PACl Al2(OH)4Cl2 is 66.7 percent{[4/(3 × 2)] × 100}. It should be noted that, if oxygen is included inthe formulation, the basicity of the compound will increase by the effect ofthe oxygen. For example, the basicity for the compound Al13O4(OH)24 is82.1 percent {[24 + (4 × 2)]/(13 × 3)] × 100}. In effect, each mole of oxy-gen will neutralize 2 moles of hydrogen. Most prehydrolyzed alum productshave an OH/Al ratio of 0.45 to 2.5, which corresponds to basicity values of15 [(0.45/3) × 100] and 83.3 [(2.5/3) × 100] percent.

    Organic Polymers Organic polymers are long-chain molecules consisting of repeating chem-ical units with a structure designed to provide distinctive physicochemicalproperties. The chemical units usually have an ionic functional groupthat imparts an electrical charge to the polymer chain. Hence, organicpolymers are often termed polyelectrolytes. Organic polymers have two prin-cipal uses in water treatment: (1) as a coagulant for the destabilization ofparticles and (2) as a filter aid to promote the formation of larger andmore shear-resistant flocs. While destabilization occurs primarily throughcharge neutralization, nonionic and anionic polymers can be used to forma bridge between particles. Organic polymers are not generally used asprimary coagulants and are often used after the particles have been destabi-lized to some degree with metal coagulants. Polymers are broadly classifiedas being natural or synthetic in origin. Because of their greater use in watertreatment, the synthetic polymers are discussed first.

    SYNTHETIC ORGANIC POLYMERS

    Generally, synthetic organic polymers are much cheaper than those madefrom natural sources and consequently are used more often in the UnitedStates than natural organic polymers. The principal synthetic organic poly-mers used for water treatment are summarized in Table 9-7. Syntheticorganic polymers are made either by homopolymerization of the monomeror by copolymerization of two monomers. Polymer synthesis can be manip-ulated to produce polymers of varying size (molecular weight), chargegroups, number of charge groups per polymer chain (charge density), andvarying structure (linear or branched). A typical example is the productionof polyacrylamide in which the monomer, acrylamide, homopolymerizesunder appropriate conditions to form the polymer. Polyacrylamide carriesno ionic charge and is referred to as a nonionic polymer. Subsequent

  • Tabl

    e9-

    7Ty

    pica

    lorg

    anic

    coag

    ulan

    tsus

    edin

    wat

    ertr

    eatm

    ent

    Mol

    ecul

    arW

    eigh

    t,C

    omm

    onTy

    peC

    harg

    eg/

    mol

    eAp

    plic

    atio

    nsTy

    pica

    lExa

    mpl

    esa

    Oth

    erEx

    ampl

    es

    Anio

    nic

    Neg

    ativ

    e10

    4−

    107

    Coag

    ulan

    taid

    ,filte

    rai

    d,flo

    ccul

    anta

    id,s

    ludg

    eco

    nditi

    onin

    g

    Hydr

    olyz

    edpo

    lyac

    ryla

    mid

    esHy

    drol

    yzed

    poly

    acry

    lam

    ides

    ,po

    lyac

    ryla

    tes,

    poly

    acry

    licac

    id,p

    olys

    tyre

    nesu

    lfona

    te

    CH

    2

    NH

    2

    CH

    CO

    x

    CH

    2

    Na+

    CH

    CO

    Oy

    Catio

    nic

    Posi

    tive

    104

    −10

    6Pr

    imar

    yco

    agul

    ant,

    turb

    idity

    and

    colo

    rre

    mov

    al

    Epic

    hlor

    ohyd

    rindi

    met

    hyla

    min

    e(e

    pi-D

    MA)

    Amin

    omet

    hyl

    poly

    acry

    lam

    ide,

    poly

    alky

    lene

    ,pol

    yam

    ines

    ,po

    lyet

    hyle

    nim

    ine

    N+

    Cl−

    CH

    2C

    H2

    CH

    CH

    3

    CH

    3

    OH

    x

    Slud

    geco

    nditi

    onin

    gPo

    lydi

    ally

    ldim

    ethy

    lam

    mon

    ium

    chlo

    ride

    (pol

    y-DA

    DMAC

    )Po

    lydi

    met

    hyl

    amin

    omet

    hyl

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    acry

    lam

    ide,

    poly

    viny

    lben

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    trim

    ethy

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    mon

    ium

    chlo

    ride

    N+

    Cl−

    CH

    2

    CH

    CH

    2

    CH

    3C

    H3

    CH

    x

    N+

    Cl−

    CH

    2

    CH

    CH

    CH

    2CH

    3

    CH

    2C

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    y

    Non

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    cN

    eutr

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    cond

    ition

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    acry

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    ides

    Poly

    acry

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    ,po

    lyet

    hyle

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    NH

    2

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    Varia

    ble

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    ble

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    dium

    algi

    nate

    Algi

    nic

    acid

    ,dex

    tran

    ,gu

    argu

    m,s

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    ated

    byx

    and

    y.

    575

    IBMHighlight

  • 576 9 Coagulation and Flocculation

    hydrolysis of polyacrylamide under basic conditions produces a polymerwith anionic charges. Thus, the number of anionic groups, in this case acarboxyl group, can be controlled, providing anionic polymers of differentmolecular weights and charge density. The third type of polymer has acationic or positive charge group incorporated in the polymer chain, usuallyby a copolymerization process.

    APPLICATION OF POLYMERS

    Since their introduction in the early 1950s, the use of organic polyelec-trolytes such as poly diallyl-dimethyl ammonium chloride (poly-DADMAC)and epichorohydrin dimethylamine (epi-DMA) (see Table 9-7) has gainedwidespread use for water treatment in the United States. The MW rangesfrom 104 to 105 and the basic polymer units are shown in Table 9-7.

    Cationic polymersIn water treatment applications, cationic organic polymers are generallydesigned to be water soluble, to adsorb on or react rapidly with particulates,and to possess a chemical structure suitable for the intended use. When usedas primary coagulants, cationic polymers, in contrast to aluminum or ferricions, do not produce large floc volumes because organic coagulants canbe effective at much lower coagulant dosages than inorganic coagulants.However, sludge from organic coagulants is usually denser and stickierthan sludge from inorganic coagulants. Consequently, cationic organiccoagulants are not suitable for every type of separation process.

    It should be noted that, because organic coagulants do not always pro-duce the same water quality as is obtained with metallic ion coagulants,cationic organic polymers are rarely used alone except for direct filtration.Furthermore, if cationic organic polymers are used alone, they are ineffec-tive in removing dissolved substances (e.g., NOM, As, F). It is common touse cationic organic polymers and metallic ion coagulants together. Themain advantage of the combined usage is that the dosage of metallic ioncoagulants can be reduced by 40 to 80 percent. The lower metallic ioncoagulant dosage in turn reduces sludge and alkalinity consumption. Withlower alkalinity consumption, the pH will not be depressed as much, whichcan improve metallic ion coagulation.

    Polymer dosagesBecause of the complex interactions between polymers and particulatesand the uncertain influence of water quality on these interactions, polymerselection is empirical. The typical dosage rates for sedimentation are onthe order of 1 to 10 mg/L for DADMAC and epi-DMA. Low dosages ofhigh-molecular-weight nonionic polymers (0.005 to 0.05 mg/L) are oftenadded before granular filtration and to the backwash water to improve filterperformance. Incorrect dosing can cause mudball formation in the filters,which are not usually broken apart during normal backwashing operations.

  • 9-4 Coagulation Practice 577

    Impact of solution parametersSolution parameters will also impact polymer dose. If the polymer chargedensity depends on pH, as with nonquaternized polyamines (see Table 9-7),then the optimum polymer dose will vary with pH, generally decreasing asthe pH decreases [the charge on secondary and tertiary amines dependson pH because the amine group will tend to protonate at lower pH values(less than 6) and will remain uncharged at neutral pH]. The charge densityof quaternized polymers such as poly-DADMAC are only slightly affectedby pH. Changes in ionic strength and composition do not appear to affectpolymer dose strongly over typical ranges encountered in water treatment(TDS between 50 and 500 mg/L).

    MIXING OF POLYMERS

    Most polymers are available in liquid form and can be used without apreparation stage, but they must be injected directly following in-linedilution. Successful use of polymers in water treatment requires adequatedispersion of the polymer to promote more uniform polymer adsorption.Jar testing, as described in the previous section, may be used to assess theeffect of mixing.

    NATURAL POLYMERS

    Sodium alginate is a natural organic polymer extracted from brown seaweed.The polymeric structure of sodium alginate is comprised of mannuronicacid and glucuronic acid and the molecular weight is on the order of104 to 2 × 105 (Degrémont, 2007). Sodium alginate is particularly effectiveas a flocculant aid with ferric salts, and good results have also beenobtained with aluminum salts, with typical dosages ranging from 0.5 and2 mg/L. Chitosan, another natural organic, is obtained from chitin shells(crab, lobster, etc.). Natural starches are also classified as natural polymers.Starches can be obtained from a number of sources, including potatoes,tapioca, or plant seed extracts. Starches are branched and nonlinearglucopyranose polymers, which are sometimes partially broken down withOH− or derivatized to form carboxy-ethyl-dextrose. Starches are used inconcentrations of 1 to 10 mg/L, preferably together with aluminum salts.

    Coagulantand Flocculant

    Aids

    A variety of chemicals and additives known as coagulant aids and flocculantaids, used to enhance coagulation and flocculation processes, are describedbelow. Some of the commonly used inorganic coagulant aids are given inTable 9-4. Polymers used as flocculant aids are given in Table 9-7.

    COAGULANT AIDS

    Coagulant aids, typically insoluble particulate materials, are added toenhance the coagulation process. Clay (bentonite, kaolinite), sodium sili-cate, pure precipitated calcium carbonate, diatomite, powdered activated

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  • 578 9 Coagulation and Flocculation

    carbon (used as an adsorbent), and fine sand have all been used as coag-ulation aids. Coagulant aids are often added to waters that contain lowconcentrations of particles to form nucleating sites for the formation oflarger flocs. Coagulant aids are used in conjunction with inorganic coagu-lants, organic polyelectolytes, or both. Because the density of these particlesis higher than that of most floc particles, the settling velocities of flocculatedparticles is increased.

    FLOCCULANT AIDS

    Uncharged and negatively charged organic polymers that were discussedin the previous section are used as flocculant aids as opposed to primarycoagulants. As previously discussed, the main advantage of using flocculantaids is that a stronger floc is formed. Flocculant aids are added after thecoagulants are added and the particles are already destabilized. The timerequired for destabilization depends on water temperature and the typeof particles; consequently, jar tests have to be conducted. The importantfactors that need to be evaluated in jars and full-scale implementation arefloc strength, size, and settling rate. It should be noted that improperdosing of flocculant aids can cause mudballs to form in gravity filters thatare not easily eliminated by backwashing.

    Activated silica is an important inorganic flocculant aid that is used incombination with alum and can be effective in cold water. It is usually storedas sodium silicate, which is soluble at high pH. Usually, the concentratedsodium silicate is partially neutralized (usually with sulfuric acid) priorto use and then added immediately to the water. In some instances,aluminosilicate is used where alum is the primary