OriLahav,LiatBirnhack AquaticChemistry Also of interest DrinkingWaterTreatment. AnIntroduction Worch, ISBN----,e-ISBN---- WastewaterTreatment. ApplicationofNewFunctionalMaterials Chen, ISBN----,e-ISBN---- EnvironmentalEngineering. BasicPrinciples Tomašić,Zelić(Eds.), ISBN----,e-ISBN---- Hydrochemistry. BasicConceptsandExercises Worch, ISBN----,e-ISBN---- Ori Lahav, Liat Birnhack Aquatic Chemistry For Water and Wastewater Treatment Applications Authors Prof.OriLahav DepartmentofEnvironmental,WaterandAgricultural Technion–IsraelInstituteofTechnology 32000Haifa,Israel [email protected] GuangdongTechnionIsraelInstituteofTechnology(GTIIT) DrLiatBirnhack FacultyofCivilandEnvironmentalEngineering Technion–IsraelInstituteofTechnology 32000Haifa,Israel [email protected] ISBN978-3-11-060392-7 e-ISBN(PDF)978-3-11-060395-8 e-ISBN(EPUB)978-3-11-060409-2 LibraryofCongressControlNumber:2018965709 BibliographicinformationpublishedbytheDeutscheNationalbibliothek TheDeutscheNationalbibliothekliststhispublicationintheDeutscheNationalbibliografie; detailedbibliographicdataareavailableontheInternetathttp://dnb.dnb.de. ©2019WalterdeGruyterGmbH,Berlin/Boston Typesetting:IntegraSoftwareServicesPvt.Ltd. Printingandbinding:CPIbooksGmbH,Leck Coverimage:Dimitris66v/iStock/GettyImagesPlus www.degruyter.com Preface Wearehappytointroducethistextbook,whichistheculminationofmanyyearsof teaching and research in the fields of aquatic chemistry and water treatment pro- cessdevelopment. The textbook was written not only with both university-level undergraduate andgraduate studentsin mind,but also to serveas a toolfor water, chemicaland environmentalengineersintheirquestforcorrectandoptimaldesignandinterpre- tationofphenomenaoccurringintheaqueousphase. The bookdiffers frommostother water-chemistry-relatedbooksinthemethod developedandadoptedforproblem-solvingandforthedesignofengineeredwater treatment systems. The main idea throughout the text is to employ mass balances onconservativeparameters(e.g.,alkalinityandacidityspecies)inordertocompute thevaluesofnon-conservativeparameters(e.g.,pH,theconcentrationofindividual weak acid/base species) thereby solving most of the issues related to weak acid waterquality,whetherinnaturalorengineeredsystems.Thedatarequiredforsolv- ingalltheproblemspresentedinthebookcanbeobtainedbyrelativelysimplean- alyticalprocedures,andthesolutionsdonotrequirestrongcomputingabilities. Thebookstarts(Chapters1and2)byrecitingclassicalaquaticchemistrymate- rial, then shifts to the definition of conservative weak acid/base parameters (alka- linity/acidityintheirvarious manifestations)intheaqueous,gas andsolidphases (Chapters3to6)andthentothetechniquesbywhichtheyareusedtoobtaininfor- mation on the water quality and design water treatment processes (e.g., mixing of streams, softening, remineralization) (Chapter 8 and 9). The book also introduces (Chapter 7) a free computerized tool (the software “Stasoft”) as an easy tool to de- sign and simulate processes occurring in the aqueous phase upon the dosage of chemicals and the interaction between the aqueous, solid and gas phases. The bookfinisheswithacomprehensivequestionsandanswerssession,whichencom- passesthewholerangeofmaterialscoveredinthetext. We wish to thank De Gruyter for giving us a venue for publishing this book, whichwebelieveisimportanttoanywaterandenvironmental/chemical-engineer- ing professional. We also wish to thank Guangdong Technion Israel Institute of Technology (GTIIT) and the Technion International School (TI) for their financial supportandMrYehudaCohen(B.Sc.inEnvironmentalEngineering)forhisinvalu- ableworkineditingandtranslatingapartofthistext,whichoriginallyappearedin Hebrew.DrLahavwouldwantalsotothankthelateProf.RichardLoewenthalfrom the University of Cape Town for his invaluable contribution in making aquatic chemistrysciencewhatitistoday. Wehopeyouwillfindthistextbothinterestingandeducative. Prof.OriLahav DrLiatBirnhack April2019 https://doi.org/10.1515/9783110603958-201 Contents Preface V 1 Waterchemistryfundamentals 1 1.1 Introduction 1 1.2 Solutions 1 1.3 ThechemicalstructureoftheH Omolecule 1 2 1.4 Dissolution 2 1.5 Solubility 2 1.6 Electrolytesandnon-electrolytes 3 1.7 Expressingsoluteconcentrationsinenvironmental engineering 4 1.8 Weightfraction(massperunitmass) 5 1.9 Weightpervolume 5 1.10 Molarity(M) 6 1.11 Normality(N=eq/L) 6 1.12 Weightpervolumeexpressedasadifferentsubstance (units:g/LasX) 8 1.13 Thep-notation 10 1.14 Chemicalequilibrium 11 1.15 Thekineticapproachfordescribingchemicalequilibrium 11 1.16 Adjustingtheequilibriumconstanttoanon-idealsystem 13 1.17 Acid–baseequilibriumintheaqueousphase 16 1.18 Thethermodynamicapproachfordescribingchemical equilibrium 19 1.19 Standardfreeenergyofformation 21 1.20 DeterminingΔGundernon-standardconditions 22 1.21 Temperatureeffectontheequilibriumconstantvalue 24 2 Acidsandbases 27 2.1 Introduction 27 2.2 Basicprinciples 27 2.2.1 Definingacidsandbases 27 2.3 Acid-basepairs 29 2.4 Polyproticacids 30 2.5 Thecarbonatesystem 30 2.6 Thestrengthofanacidorbase 32 2.7 TheHenderson–Hasselbalchequation 36 2.8 Speciesdistributionofweak-acids/basesasafunctionofpH 38 2.8.1 SpeciesconcentrationasafunctionofpH–thegraphical approach 42 VIII Contents 2.8.2 Sketchingthelog(species)curveasafunctionofpH–aquick procedure 46 2.8.3 Sketchingthelog(species)curveasafunctionofpH–important points 47 2.9 Theeffectofachangeinthetotalspeciesconcentration,C 48 T 2.10 Interpretingacid/basesystemsusingprotonbalance equations 48 2.11 Equivalentsolutionsandequivalencepoints 54 2.11.1 H A –theequivalencepointofH A 55 2 EP 2 2.11.2 HA− –TheequivalencepointofHA− 57 EP 2.11.3 A−2 –theequivalencepointofA−2 59 EP 2.12 Buffercapacity 62 2.13 Graphicalmethodforsolvingproblems 63 3 Alkalinityandacidityastoolsforquantifyingacid-baseequilibrium anddesigningwaterandwastewatertreatmentprocesses 67 3.1 Introduction 67 3.2 Alkalinityandacidity–definitions 67 3.2.1 Firstverbaldefinition 68 3.2.2 Secondverbaldefinition 68 3.3 Developmentofalkalinityandacidityequationsformonoprotic, weak-acid(weak-base)systems 70 3.3.1 Developinganequationforthealkalinityofamonoprotic,weak acidwithHAasthereferencespecies 70 3.3.2 Derivinganequationfortheacidityofamonoprotic,weakacid withA−asthereferencespecies 72 3.3.3 Generalizationandelaborationoftheconceptsalkalinityand acidityandtherelationshipsbetweenthemforamonoprotic weakacid 73 3.3.4 Introductiontomeasuringalkalinityandacidityinthe laboratory 74 3.4 Developingequationsforthedescriptionofalkalinityandacidity valuesofdiproticweak-acidsystems 75 3.5 Thecarbonatesystemasanexampleofadiproticsystem 75 3.5.1 Developingalkalinityandacidityequationswithrespecttothe equivalencepointofH CO * 76 2 3 3.5.2 Developingalkalinityandacidityequationsaroundthe equivalencepointofHCO − 78 3 3.5.3 Developingthealkalinityandacidityequationsaroundthe equivalencepointofCO 2− 79 3 3.5.4 Usefulnotesaboutthecarbonatesystemandusefulrelationships betweenthevaluesofpH,alkalinity,acidityandC 80 T Contents IX 3.6 Determiningalkalinityandacidityvaluesinthelab: Characterizationofacid–baserelationshipsinnaturalwaters 82 3.7 Standardlaboratoryalkalinityanalysis 83 3.8 MoreonwatercharacterizationthroughanalysisofC and T additionalformsofalkalinityandacidity 84 3.9 Buffercapacityofsolutions 85 3.9.1 Buffercapacityorbufferintensity 85 3.9.2 Derivingthebuffercapacityequationforamonoprotic,weak acid 86 3.9.3 Expansiononthederivationofβtoincludediproticand polyproticsystemsusingthecarbonatesystemasanexamplefor polyproticsystems 88 3.10 Titrationcurves 89 3.11 Alkalinityandacidityequationscomposedofseveralweak-acid systems 92 3.12 Elaborationonlaboratorymethodsformeasuringalkalinityand acidity 95 3.12.1 Grantitrationfordeterminingalkalinity 97 3.12.2 MathematicalderivationoftheGranmethod 98 4 Useofalkalinityandacidityequationsforquantifyingphenomenain chemical/environmentalengineeringanddesignofwaterand wastewatertreatmentprocesses 101 4.1 Theoreticalbackgroundrelatedtoacid-basecalculationsin aqueoussolutionsfromtheknowledgeofalkalinityandacidity parameters 101 4.2 Examplesofacid-baseproblemsfromchemical/environmental engineeringinwhichalkalinityandaciditytermscanbeused 104 4.3 Examplesforimplementationoftheprinciplesofthecalculation methodforsolvingproblemsrelatedtowastewater 111 4.4 Usingamethodbasedonalkalinityandaciditymassbalancesto quantifythechangeincharacterizationofacid-basepropertiesof waterasaresultofchemicaldosage(deliberateor unintentional) 117 4.4.1 Solutionoutline 118 5 Equilibriumbetweentheaqueousandgasphasesandimplications forwatertreatmentprocesses 125 5.1 Introduction 125 5.2 Expressionsdescribingconcentrationsofcomponentsinthegas phase 126 5.3 Henry’slaw 127 X Contents 5.4 Factorsaffectinghenry’slawconstant 130 5.4.1 TheeffectofthesolutionIonicstrengthonHenry’sconstant 131 5.5 Systemsthatareclosedtotheatmosphere 132 5.6 Thecarbonatesysteminthecontextofgas-liquidphase equilibriumequations 133 5.7. DistributionofspeciesasafunctionofpHforsystemsthatarein equilibriumwiththegasphase 137 6 Principlesofequilibriumbetweentheaqueousandsolidphaseswith emphasisonprecipitationanddissolutionofCaCO 145 3(S) 6.1 Introduction 145 6.2 TheeffectofIonicstrengthonthesolubilityconstants 147 6.3 Effectoftemperatureonthesolubilityconstant 148 6.4 Effectoftheadditionofoneofthesolidcomponentsonthe concentrationoftheothercomponentinequilibrium(common ioneffect) 148 6.5 Effectofsidereactionsonsolubilityofsolids 150 6.6 Precipitation/dissolutionofCaCO :qualitativeandquantitative 3 assessmentofthesaturationstate 151 6.6.1 Langeliersaturationindex(LSI) 151 6.6.1.1 MathematicaldevelopmentoftheformulaforcalculatingpH 151 L 6.6.1.2 TheinherentproblemsintheLangeliermethod 152 6.6.2 PrecisequantificationofCaCO precipitation/dissolution 3 potential(CCPPmethod) 153 6.6.3 Determinationoftheprecipitationpotential(numericalmethod) 154 6.6.4 ComparisonofLSIvaluesandCCPPinagivensolution 155 6.6.5 Determiningtheprecipitationpotential(CCPP)graphically 156 6.6.5.1 ModifiedCaldwell–Lawrence(MCL)diagrams 156 6.6.5.2 MCLgraphdevelopment 156 7 Computersoftwareforcalculationsinthefieldofaquaticchemistry andwatertreatmentprocesses,withanemphasisontheStasoft4.0 program 163 7.1 Introduction 163 7.2 Principlesofcalculationandlimitations 163 7.3 Howtousethesoftware 165 7.4 SimulationofwatertreatmentprocessesusingtheStasoft4 program 174 8 Watersofteningusingthelime-sodaashsofteningmethod 179 8.1 Introduction 179