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    IslamicUniversityofGaza EnvironmentalEngineeringDepartment

    EENV4331

    Lecture6: Softening

    Dr.

    Fahid Rabah

    1

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    6.HardnessandSofteninginwaterTreatment

    6.1 Definition of hardness:

    A. Hardnessis

    the

    term

    often

    used

    to

    characterize

    a

    Dosenotformafoamorlatherwellandcause

    soa scum

    Ca2++(Soap)Ca(Soap)2 (s) (soap

    scum)

    Thisincreasetheamountofsoapneededfor

    washing

    causescalingonpipesandhotboilers.

    calciumcarbonatecrystals

    leavestainson lumbin fixtures

    2

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    6.HardnessandSofteninginwaterTreatment

    3

    . Scalingduetocalcium andmagnesium

    precipitation

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    6.HardnessandSofting inwaterTreatment

    B. Hardnessisdefinedasthesumofthedivalentmetalcations(inconsistentunits)existingin

    watersuch

    as

    :

    Ca2+ ,Mg2+ ,Fe2+ ,Mn 2+

    c c y

    m

    u

    ,

    g

    ions(the

    predominant

    minerals

    in

    natural

    waters)

    + +.

    wheretheconcentrationofeachionisin

    3,meq/L.

    4

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    6.HardnessandSofteninginwaterTreatment

    .

    Precipitation

    Topsoil

    Subsoil

    2 2 2

    Limestone CaCO3(s) + H2CO3 Ca(HCO3)2g 3(s) + 2 3 g 3 2

    6

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    6.HardnessandSofteninginwaterTreatment

    F.CarbonateandnoncarbonateHardnessCarbonateHardness(CH) Ca2+,

    Mg2+ associated

    with

    HCO3

    ,CO32

    enca e emporary ar ness ecauseheatingthewaterwillremoveit. Whenthewaterisheated,theinsolublecarbonateswill

    precipitateand

    tend

    to

    form

    bottom

    deposits

    in

    waterheaters.

    Ca2+,Mg2+ associatedwithotherions,Cl,NO3,

    SO42

    NCH=TH CH

    7

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    6.HardnessandSofteninginwaterTreatmentF.HardnessUnits

    TotalHardness= (Ca2+ +Mg2+ )Thehardnessunitisthesameasthatconsistentunit usedforbothoftheabove

    ions.Themostusedunitsare:

    CaCOofEW 3

    speciesofEW3

    Where,

    EW= equivalent

    weight

    pec es= onor a ca or ompoun

    Radical:suchas CO32,SO4

    2

    8

    2, 4

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    6.HardnessandSofteninginwaterTreatment

    MWEW

    For radicals and

    MWEW

    argeec r ca

    For

    ions

    MW=molecularweightoftheSpecies

    Example3.1: a)FindtheEWofMg2+ thathasaconcentrationof10mg/Las

    theioninwater.b)FindtheEWofCaCO3

    c)findconcentrationofMg + as mg L

    CaCO3.

    2+

    mmole

    mg24.3MW

    mole

    g24.3MW

    mole

    (n)Valance

    mmole

    (n)Valance

    ]1

    [.mg24.3

    EW mg

    12.15EW MW

    EW

    9

    a ance

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    6.HardnessandSofteninginwaterTreatment

    mg100MW g100MW

    eq2(n)chargeElectrical

    mmole

    meq2chargeElectrical

    MW

    EW ]1

    [.mg100

    EW mg

    50EW

    D)FindingtheMg2+ concentrationas CaCO3:

    CaCOofEW

    speciesofEWspec esasmgaasmg 3

    CaCOasm /L1.154 mg/meq50

    2Mgasmg/L10CaCOasmg/Lin)(Mg2 3

    Mg + conc.

    10

    .

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    6.HardnessandSofteninginwaterTreatment

    6.2 Relation between Alkalinity and hardness:

    A. DefinitionofAlkalinity

    relatedverycloselytohardnessandsofteningprocess.The

    followingequationisusedtomeasurethealkalinityinwater:

    a n y= 3 + 3

    +

    Wheretheconcentrationsareinmeq/Lor mg/LasCaCO3 + .

    Therelationbetweenthealkalinityspeciesisgivenbythefollowingthree

    equations:

    [HCO3-]

    ]][CO[H10

    2

    310.33-

    OHH10-14

    pH10H , ,

    12Wheretheconcentrationsaremoles/Linthesethreeequations

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    VariousFormsofalkalinityandCO2relativetopHinwaterat25oC.

    13

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    6.HardnessandSofteninginwaterTreatment

    Examp e6.1:

    .

    followingconcentrationsofions2+

    Mg2+ 10mg/L

    Na+ 11.8mg/LK+ 7.0 m LHCO3

    110mg/LSO4

    2 67.2mg/L

    Cl 11m /L

    Constructabarchartoftheionsintermof mg/LCaCO3 CalculatetheTH,CH,NCH,Alkalinity

    14

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    6.HardnessandSofteninginwaterTreatment

    .

    Ion Conc. M.W. n Eq. Wt. Conc. Conc.

    CaCO3Ca

    2+40.0 40.1 2 20.05 1.995 99.8

    Mg2+

    10.0 24.3 2 12.15 .823 41.2Na+ 11.8 23.0 1 23.0 .51 25.7

    +. . . . .

    HCO3-

    110.0 61.0 1 61.0 1.80 90.22- . . . . .

    Cl-

    11.0 35.5 1 35.5 .031 15.5

    15

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    6.HardnessandSofteninginwaterTreatment

    (cations) = (anions)

    175.6

    =

    175.6

    mg/Las

    CaCO3 O.K

    . = . meq .

    Note: (errorintherangeof10%isaccepted)

    Note:onecheckisenough(either as{mg/LasCaCO3}oras {meq/L} )

    TotalHardness=

    (Ca2+)

    +(Mg2+)=

    99.8

    +41.2

    TH=141mg/LasCaCO3or TH=1.995+0.823= 2.818 meq/L

    16

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    6.HardnessandSofteninginwaterTreatment

    Alkalinity=(HCO3)+(CO3

    2)+(OH)(H+)

    a. SincepH=7.2 [H+]=10pH =107.2 mole/L=107.2 g/L

    g/eq1

    /LHg10eq/L

    -7.2

    eq/L10H -7.2

    OHH10- OH0110- .-

    =b.

    g/L10*17mole/L10OH -6.8-6.8 /LOHg10*17eq/L-6.8

    eq/L10OH -6.8-

    mole/L10OH - .

    C. (HCO3)=1.80 meq/L=1.80*103 eq/Lfromthisexamplecalculations

    asinthetable. = * = * * 3 = * 3

    [HCO3]=(109.8*103 g/L)/(61g/mole)=1.80*103 mole/L

    17

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    6.HardnessandSofteninginwaterTreatment

    theportionofthehardnessassociatedwithcarbonateorbicarbonate

    Alkalinity=90.1mg/LasCaCO3

    TH=141mg/LasCaCO3

    CH=90.2

    mg/L

    as

    CaCO3

    NoncarbonateHardness:

    NCH=THCH

    =141

    90.1=

    50.9

    mg/L

    as

    CaCO3

    19

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    6.HardnessandSofteninginwaterTreatment

    TH

    Na+

    . . .

    Ca2+ Mg2+ K+

    HCO3 SO4

    2 Cl

    .

    90.2 160.10.0 175.6CH NCH

    CaSO4

    MgSO4 Na2SO4

    NaCl

    KCl

    Note:thechemicalsatthelowerlineof thebargraphiscalledthehypothetical

    combinationofpositiveandnegativeionsinthewatersample

    20

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    6.HardnessandSofteninginwaterTreatment6.3Softenin definition:a) Softeningisthechemicalprocessesinwhichhardness

    causing

    ions

    (

    Ca2+

    ,

    Mg2+

    )

    are

    removed

    from

    water

    ether

    .

    b) SofteningmaybeachiviedbychemicalprecipitationusingtheLimeSodaAsh methodorbyionexchange.

    c) In

    the

    chemical

    precipitation

    method

    the

    objective

    is

    to

    produceCaCO3 andMg(OH)2:2+ 2

    s

    Mg2++2OH Mg(OH)2(s)

    additionofLime[Ca(OH)2]andSodaash[

    21

    .

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    6.HardnessandSofteninginwaterTreatmentf) Acommonwatertreatmentgoalistoprovidea

    waterwithahardnessintherangeof75to120mg/L

    asCaCO3

    g) ToprecipitateCaCO3 andMg(OH)2weneedtoraisethepHto10.3bytheadditionofLime[Ca(OH)2].TheadditionoftheOHw conver

    3

    o3

    h) ToprecipitateMg(OH)2weneedtoraisethepHto11bytheadditiono 2 3 . 3

    neededtoreactwiththeremainingCa2+

    2

    removeCO2whichisnecessarytoraisethepH.

    22

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    6.HardnessandSofteninginwaterTreatment6.4ChemistryofLimeSodaAshSoftening

    softeningreactions Neutralization

    of

    carbonic

    acid

    [ToraisethepHweneedfirsttoneutralizeanyacidinthewater]CO2+Ca(OH)2 CaCO3(s)+H2O

    PrecipitationofCHduetocalcium:[ToraisethepHto10.3alltheHCO

    3

    isconvertedtoCO3

    2]Ca2+ +

    2HCO3 +Ca(OH)2 2CaCO3(s)+2H2O

    [ToraisethepHto11addmorelime]

    Mg2+ +2HCO3

    +Ca(OH)2

    Mg2+ +CO3

    2+CaCO3(s)

    +2H2

    O+

    3 2 2(s) 3(s)

    23

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    6.HardnessandSofteninginwaterTreatment6.4ChemistryofLimeSodaAshSoftening

    Removalof

    NCH

    due

    to

    calcium

    Ca2+ +SO42+ Na2CO3 CaCO3(s)+2Na

    + +SO42

    Ca2+ +2Cl1+ Na2CO3 CaCO3(s)+2Na+ +2Cl1

    Removalof

    NCH

    due

    to

    magnesium

    2+ 2+ s

    Ca2++Na2CO3 CaCO3(s)+2Na+

    24

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    6.HardnessandSofteninginwaterTreatment6.4ChemistryofLimeSodaAshSoftening

    So teningprocess imitations:

    1. LimeSodasofteningcannotproduceawatercompletelyfreeofhardness

    becauseof

    the

    solubility

    of

    CaCO3and

    Mg(OH)2,

    limitations

    of

    mixing

    andreactiontime.

    2. Thus,theminimumcalciumhardnessthatcanbeachievedis

    30mg/LasCaCO ,theminimumMagnesium hardnessthatcanbeachieved

    is 10

    mg/L

    as

    CaCO3,

    this

    gives

    a

    minimum

    hardness

    of

    40

    mg/L

    as

    CaCO3.3. However,normallythewateristreatedtogiveahardnessintherangeof75to

    120 m L as CaCO .

    4. AnExcesslimebeyondthestoichiometricamountisusuallyaddedto

    removeMg2+ hardness .Theminimumexcesslimeisusually20mg/L

    3, . 3 . .

    5. Mg2+ inexcessof40mg/LasCaCO3isnotdesiredasitformsscaleinwaterheaters.Mg2+ isexpensivetoremove,soweonlyremoveMg2+

    25

    nexcesso mg as a 3.

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    6.HardnessandSofteninginwaterTreatment6.4ChemistryofLimeSodaAshSoftening

    C emica srequirements:Accordingtothesofteningchemicalreactions:

    Lime is added at the ratio of 1:1 for each carbonate hardness

    compoundexceptforMg(HCO3)theratiois 2:1[i.e.2limeforeach 1Mg(HCO3)].

    Limeisalsoaddedattheratioof1:1foreachMa nesiumNCH

    compound

    such

    as

    MgSO4Sodaash isaddedattheratioof1:1foreachMagnesiumor

    CalciumNCHcom oundsuchasM S O ,andCaSO .

    CO2neededis1:1ratiowiththeexcesslimeadded,and1:1ratiowithCaCO3remainingaftersoftening,2:1ratiowith

    Mg(OH) remainingafter

    softening.

    Theunitsofthechemicalsareeitherinmeq/Lormg/LCaCO3 Example6.2illustratesthechemicalrequirements

    calculations.

    26

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    6.HardnessandSofteninginwaterTreatment6.5ExcessLime Softening example

    Example:6.2

    waterw t t e on cc aracter st css own e ow sto eso tene tot e

    minimumpossiblehardnessbylimesodaashexcesslimeprocess.Calculate

    therequiredchemicalquantitiesinmeq/L.Drawabardiagramofthesoftened

    water. AssumethataresidualofCaCO3

    of0.60 meq/LandaresidualofMg(OH)2of0.20 meq/Lwillremaininthesoftenedwater.

    7.43.4 6.4

    Na2+

    CO2

    Ca2+

    HCO3

    Mg2+

    4.9 7.4

    SO42

    ..

    27

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    6.HardnessandSofteninginwaterTreatment

    : . ..

    Solution:me = . + . + . . + . . +excess me

    =8.5+1.25=9.75meq/L

    SodaAsh=6.44.9=1.5meq/L (toremoveNCH,MgSO42)

    Na

    + :

    TheadditionofsodaashaddstothewateranequalamountofNa+.

    Sinceweadded1.5meq/Lsodaash,thiswilladd1.5meq/LNa+

    The

    original

    concentration

    existing

    in

    the

    raw

    water

    is

    1.0

    meq/L .

    Total Na+ =1+1.5=2.5meq/LNa+.

    28

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    6.HardnessandSofteninginwaterTreatment

    : . ..

    CO32

    Mg2+ Na2+Ca2+

    ..

    SO42

    ..

    HO

    0.6 0.8 3.3

    Bargraphofthesoftenedwater

    29