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    CHAPTER 4

    AQUEOUS REACTIONS

    & SOLUTION

    STOICHIOMETRY

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    CONTENTS

    4.1 General Properties of Aqueous Solutions

    4.2 Precipitation Reactions

    4.3 Acid-Base Reactions

    4.4 Oxidation-Reduction Reactions

    4.5 Concentrations of Solutions

    4.6 Solution Stoichiometry and Chemical

    Analysis

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    Learning Outcomes

    Able to identify types ofmetathesis reaction

    Able to determine the precipitate forms in a

    reactionAble to calculate oxidation numberof

    element and identify the oxidizing agent in a

    redox reactionAble to calculate unknown concentration in a

    titration of acid-base solutions (reaction).

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    4.1 General Properties ofAqueous Solutions

    A solution is a homogeneous mixture.

    Contains: a solvent (greater quantity) andsolute(s).

    Solvent - substance in the mixture which actsas the dissolving medium.

    Whatever else is dissolved in the solution iscalled the solute(s).

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    Cont: 4.1 General Properties ofAqueous Solutions

    E.g.

    NaCl (s) + H2O (l) NaCl (aq)

    solute solvent aqueous solution

    Solution in which water is the dissolving medium

    are called aqueous solutions.

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    Cont: 4.1 General Properties ofAqueous Solutions

    All aqueous solutions can be classified in terms ofits electrical conductivity.

    Solution conducts electricity:

    forms ions in solution

    is an electrolyte. e.g. NaCl (an ionic compound)

    # conducts electricity well: strong electrolyte

    (NaCl)# conducts electricity poorly: weak electrolytes

    (CH3COOH)

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    Cont: 4.1 General Properties oAqueous Solutions

    Solution does not conduct electricity

    does not form ions in solution

    is a non electrolyte e.g. sugar (amolecular compound)

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    4.1.1 Ionic Compounds inWater

    Ionic compounds dissolve in water,dissociate into anions and cations.

    The solid no longer exists as a well ordered

    arrangement, each ion is surrounded bywater molecules.

    The ions are dispersed uniformly throughoutthe solution.

    The relative concentrations of the ionsdepend on the chemical formula of thecompound. (Sec: 4.5.2)

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    4.1.2 Molecular Compounds inWater

    Molecular compounds (e.g. CH3OH, sugaretc.) dissolve and exist as dispersed

    molecules throughout the solution. The structural integrity of the compound

    is maintained.

    Does not form ions

    no ions to conductelectricity.

    they are non-electrolytes

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    Cont: 4.1.2 MolecularCompounds in Water

    Some important exceptions:

    NH3

    dissolves in water to form NH4

    +

    and

    OH-

    HCl (g) in water ionizes to form H+ and Cl-

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    4.1.3 Strong and WeakElectrolytes

    Electrolyte: any substance whose aqueoussolution contains ions that conduct electricity.

    Strong electrolytes - ionize 100 %in a solvent.

    E.g. (i) Most ionic compounds (salt), NaOH(ii) Strong acids and bases: HCl, HBr, HClO4

    A single arrow ( ): ionization of strongelectrolytes.

    A single arrow indicates that ions have notendency to recombine.

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    Cont: 4.1.3 Strong and WeakElectrolytes

    Weak electrolytes - Incompletely ionization(small amount of ions).E.g. (i) Weak acid : HF, H2S, HC2H3O etc.

    (ii) Weak base : NH3, amine A 1.0 M solution of acetic acid HC2H3O2:

    Small fraction (about 1 %) is present as H+ and

    C2H3O2-

    ions. Most is present as HC2H3O2 molecules.

    HC2H3O2(aq) H+(aq)+ C2H3O2

    -(aq)

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    Cont: 4.1.3 Strong and WeakElectrolytes

    The double arrow () is significant:

    HC2H3O2 molecules are ionizing to form H+

    and C2H3O2- and at the same time H+ andC2H3O2

    - ions are recombining.

    Note: A double arrow ionization of weakelectrolytes.

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    4.2 Precipitation Reactions

    Precipitation: the reaction forming

    insoluble product (called precipitate).

    caused by the attraction between the oppositely

    charged ions in the solid being too great for thewater molecules to pull them apart.

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    4.2.1 Solubility Guidelines forIonic Compounds

    Know the solubilities of differentcompounds

    Solubility guidelines are used to predictwhether a precipitate will form whensolutions are mixed.

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    H

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    4.2.2 Metathesis Reaction

    Metathesis reactions involve swapping ions insolution:

    AX + BY AY + BX

    AgNO3(aq) + KCl(aq) AgCl(s)+ KNO3(aq)

    Positive ions (cations) and negative ions (anions) -exchange partners.

    Sometimes known as double-displacement reaction.

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    Cont: 4.2.2 MetathesisReaction

    Displacement reaction

    Single displacement Double displacement

    (Metathesis)

    X + YZ XZ + Y WX + YZ WZ + YX

    Eg: Ox-Red Rxn(Activity Series)(Sec. 4.4)

    Eg: Ppt RxnAcid-Base Rxn

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    Cont: 4.2.2 MetathesisReaction

    E.g: Acid-base neutralization reaction

    HCl(aq) + NaOH(aq) NaCl(aq) + H2

    O(l)

    H+ + OH- H2O ions are removed from thesolution

    For a metathesis reaction to occur, ions mustbe removed from the solution (Sec. 4.2.3)

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    Cont: 4.2.2 MetathesisReaction: Driving Forces

    Three chemical processes can lead to theremoval of ions from solution (driving forcefor metathesis to occur):

    (i) The formation of an insoluble product(called a precipitate).(4.2)

    (ii) The formation of either a weak

    electrolyte or a non electrolyte.(4.3.4)(iii) The formation of a gas that escapesfrom solution.(4.3.3)

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    Cont: 4.2.2 MetathesisReaction (to predict products)

    Metathesis reaction is used to predict whethertwo salts or two reactants can react to producethe products(s).

    Some Rules:1. If one reactant is a salt containing the carbonate

    ionor the hydrogen carbonate ionand the other

    is a strong acid, the products will be a saltcontaining the anion of the acid, waterand CO2.

    HCl(aq)+ NaHCO3(aq) NaCl(aq)+ H2O(l)+ CO2(g)

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    Cont: 4.2.2 MetathesisReaction (To predict products)

    2. If the reactants are an acidandabase, carryout a neutralization reaction.

    HCl(aq) + NaOH(aq) NaCl(aq) + H2O(l)

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    Cont: 4.2.2 MetathesisReaction (To predict products)

    3. Insoluble metal oxidesreact with strong acidsto form a salt (containing the anion of the acid)

    and water.

    MgO(s) + 2HCl(aq) MgCl2(aq) + H2O(l)

    4. If both reactants are weak acids/ weak bases,no reaction occurs.

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    4.2.3 Ionic Equations

    Chemical equations Molecular equation

    Ionic equation: complete ionic equation: net ionic equation

    indicate whether dissolved substances arepresent in solution predominantly as ions oras molecules.

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    Cont: 4.2.3 Ionic Equations

    Molecular equation - list all species (reactantsand products) in their molecular forms:

    HCl (aq)+ NaOH (aq) H2O (l) + NaCl (aq)

    Complete ionic equation - lists allions in thereaction:

    H+(aq)+ Cl-(aq)+ Na+(aq)+ OH-(aq) H2O (l)+ Na +(aq)+ Cl-(aq)

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    Cont: 4.2.3 Ionic Equations

    Spectator ions : ions that appear inidentical form on both sides of the arrow

    (they play no role in the reaction).H+(aq)+ Cl-(aq)+ Na+(aq)+ OH-(aq)

    H2O (l)+ Na +(aq)+ Cl-(aq)

    Na+(aq)and Cl-(aq)appear on both sides

    - spectator ions.

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    Cont: 4.2.3 Ionic Equations

    Omitting the spectator ions: Na+(aq)and Cl(aq)

    Net ionic equation:

    H+(aq)+ OH-(aq) H2O (l)

    Include only the ions and moleculesdirectly involved in the chemical reaction.

    Charge is conserved in the reaction (sumof the charges are the same on both sidesof the arrow).

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    Cont: 4.2.3 Ionic Equations

    To write an ionic equation:

    Only strong electrolytes are written in ionicform.

    Non electrolytes, insoluble are written in

    molecular form.

    Note: take note on the difference between ionicequation and net ionic equation.

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    Cont: 4.2.3 Ionic Equations

    Guidelines for writing a balanced ionicequation:

    Write a balanced molecular equationfor the reaction

    Rewrite the equation to show the ions

    formed from dissociation (for strongelectrolytes).

    Identify and cancel spectator ions.

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    Example 1

    Write the net ionic equation forzinc metal with

    hydrochloric acid to form hydrogen gas and

    aqueous solution of zinc chloride.

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    Example 1 (Answer)

    Molecular Equation (complete):

    Zn (s)+ 2HCl (aq) H2(g)+ ZnCl2(aq)

    Ionic Equation (complete):

    Zn (s)+ 2H+(aq)+ 2Cl-(aq)H2(g)+ Zn

    2+(aq)+ 2Cl-(aq)

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    Example 1 (Answer)

    Spectator ion is Cl-Zn (s)+ 2H+(aq)+ 2Cl-(aq)

    H2(g)+ Zn2+

    (aq)+ 2Cl-

    (aq)

    Net Ionic Equation:Zn (s)+ 2H+(aq) H2(g)+ Zn

    2+(aq)

    Reaction can occur when the net ionicequation can be written.

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    Example 2

    Predict whether any reaction occurs when

    potassium chloride is mixed with sodium nitrate.

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    Example 2 (Answer)

    Molecular Equation (complete):

    KCl(aq) + NaNO3(aq) KNO3(aq) + NaCl(aq)

    Ionic Equation (complete):

    K+(aq)+ Cl-(aq)+ Na+(aq)+ NO3-(aq)

    K+(aq)+ NO3-(aq)+ Na+(aq)+ Cl-(aq) No net ionic equation.

    No reaction occurs.

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    Example 3

    Write balanced molecular, ionic and net ionicequations for the precipitation reactions (if any)for the following compounds:

    (a) Mg(NO3)2 and NaOH

    (b) KCl and Na2SO4

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    Example 3 (Answer)

    (a) Write balanced molecular equation:

    Mg(NO3)2(aq)+ 2NaOH (aq)

    Mg(OH)2(s)+ 2NaNO3(aq)

    Note: From guidelines table Mg(OH)2 willprecipitate.

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    Example 3 (Answer)

    Ionic equation:

    Mg2+(aq)+ 2NO3-(aq)+ 2Na+(aq)+ 2OH-(aq)

    Mg(OH)2(s)+ 2Na+

    + 2NO3-

    (aq)

    Net ionic equation:

    Mg2+(aq)+ 2OH-(aq) Mg (OH)2

    (s)

    Note: Na+ and NO3- are spectator ions.

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    Example 3 (Answer)

    (b) Write balanced molecular equation:

    2KCl (aq) + Na2SO

    4(aq)

    K2SO4(aq) + 2NaCl (aq)

    Note: Both K2SO4 and NaCl are soluble and

    dissociate in solution.

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    Example 3 (Answer)

    Ionic equation:

    2K+(aq) + 2Cl- (aq) + 2Na+(aq) + SO42-(aq)

    2K+(aq) + SO42-

    (aq) + 2Na+(aq) + 2Cl-(aq)

    No reaction; the solutes merely mix in the solution.

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    4.3 Acid-Base Reactions

    Acids

    Definitions (based on Arrhenius)

    Substance that is able to ionize to form ahydrogen ion (H+) in solution, e.g. HCl, HNO3etc.

    Increase the concentration of H+(aq) ions.

    H+ is a proton. Acids are called proton donors.

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    Cont: 4.3 Acid-Base Reactions

    Acids that ionize to form one H+ are calledmonoprotic acids. E.g: HCl and HNO3

    Acids that ionize to form two H+ ions are called

    diprotic acids. E.g:H2SO4 - yields two H+ ionsper molecule:

    H2SO4(aq) H+(aq)+ HSO4-(aq)

    HSO4- (aq) H+(aq)+ SO42-(aq) Aqueous solution of sulfuric acid contains a

    mixture of H+(aq), HSO4-(aq)and SO4

    2- (aq).

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    Cont: 4.3 Acid-Base Reactions

    Acids that ionize to form more than twoH+ ions are called polyprotic acids.

    Bases: Soluble ionic compounds containing the

    hydroxide ions, OH-, eg. NaOH, Ca(OH)2,

    KOH etc. Increase the concentration of OH-(aq)

    when added to water.

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    Cont: 4.3 Acid-Base Reactions

    React with the H+ ions to form water(protonacceptor)H+(aq)+ OH-(aq) H2O (l) (neutralization rxn)

    Note: NH3 (ammonia) Compounds do not contain OH- ion BUT when

    added to water, accepts H+

    ion from the watermolecules increase the concentration of OH-ions in water.E.g. NH3(aq)+ H2O(l) NH4+ (aq)+ OH-(aq)

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    4.3.1 Strong and Weak Acidsand Bases

    Strong Acids and Bases

    Strong electrolytes

    Completely ionized in solution

    Definition :

    Acids - proton donor

    Bases - proton acceptor

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    H

    nnnnnn

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    Cont: 4.3.1 Strong and WeakAcids and Bases

    How to classify non-electrolyte, weak electrolyte orstrong electrolyte:

    Compounds Strong Weak Non

    Ionic All None None

    Molecular Strongacids

    Weak acidsand bases

    All othercompounds

    Electrolyte

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    Example 4

    Classify each of the following aqueous solution asa non-electrolyte, weak electrolyte or strongelectrolyte.

    (a) HBrO (f) Sucrose

    (b) HF (g) O2

    (c) HNO3(d) KOH

    (e) CoSO4

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    Example 4 (Answer)

    (a) HBrO - weak acid - weak electrolyte

    (b) HF - weak acid - weak electrolyte

    (c) HNO3 - strong acid - strong electrolyte

    (d) KOH - strong base - strong electrolyte

    (e) CoSO4 - salt - strong electrolyte

    (f) Sucrose - molecular - non electrolyte

    (g) O2 - molecular - non electrolyte

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    Example 5

    Classify the followings as a strong electrolyte,weak electrolyte or non electrolyte.

    HBr; H2S; NH3; Ba(OH)2; KCl; C6H6; I2

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    Example 5 (Answer)

    If a substance is a salt (metallic cation and anon-metallic anion) strong electrolyte.

    Ba (OH)2 strong electrolyte HBr is a strong acid strong electrolyte H2S is a weak acid - weak electrolyte NH3 is a weak base - weak electrolyte

    C6H6 is a hydrocarbon- non electrolyte I2 is a homonuclear diatomic element - not salts

    and not listed as acids or bases nonelectrolyte

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    4.3.2 Neutralization Reactionsand Salts

    Neutralization Reactions and Salts

    A neutralization reaction occurs when an acid

    and a base react to form a salt.E.g. HCl (aq)+ NaOH (aq) H2O (l)+ NaCl (aq)

    A saltis an ionic compound whose cation comes

    from a base and anionfrom an acid.

    Net ionic equation: H+(aq)+ OH-(aq) H2O (l)

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    4.3.3 Acid-Base Reaction withGas Formation

    One of the driving force for metathesisreaction to occur.

    One of the products is a gas.

    Carbonates and hydrogen carbonates(bicarbonates) react with acids to form CO2 gas.

    Example :

    Sodium hydrogen carbonate (NaHCO3) reactswith HCl

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    Cont: 4.3.3 Acid-Base Reactionwith Gas Formation

    Molecular equation:HCl (aq)+ NaHCO3(aq)

    NaCl (aq)+ H2O (l)+ CO2(g)

    Ionic equation:H+(aq)+ Cl-(aq)+ Na+(aq)+ HCO3 -(aq)

    Na+(aq)+ Cl-(aq)+ H2O (l)+ CO2(g)

    Net ionic equation:H+(aq)+ HCO3-(aq) H2O (l)+ CO2(g)

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    H

    nnnnnn

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    H

    nnnnnn

    4.3.4 Acid-Base Reactions with

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    4.3.4 Acid Base Reactions withWeak Electrolyte or Nonelectrolyte

    Formation

    Common weak electrolyte : H2O

    Example : Neutralization reaction:

    H++ OH- H2O

    Example: Mg(OH)2 - white suspension dissolveswhen reacts with HCl (aq)

    Molecular equation: Mg(OH)2(s)+ 2HCl (aq) MgCl2(aq)+ 2H2O (l)

    Cont: 4.3.4 Acid-Base Reactions

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    Con t: 4.3.4 Acid Base Reactionswith Weak Electrolyte orNonelectrolyte Formation

    Ionic equation:

    Mg(OH)2(s)+ 2H+(aq)+ 2Cl-(aq)

    Mg2+(aq)+ 2Cl-(aq)+ 2H2O (l)

    Net ionic equation:

    Mg(OH)2(s)+ 2H+(aq) Mg2+(aq)+ 2H2O (l)

    Note: H2O is the driving force

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    Example 6

    Write balanced net ionic equation for thereaction (if any) that may occur and indicate thedriving forces when the following pair is mixed.

    Cr(C2H3O2)2(aq)and HNO3(aq)

    Answer

    Molecular equation:Cr(C2H3O2)2(aq)+ 2HNO3(aq)

    Cr(NO3)2(aq)+ 2HC2H3O2(aq)

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    Example 6 (Answer)

    Ionic equation:Cr2+ (aq)+ 2C2H3O2

    -(aq)+ 2H+(aq)+ 2NO3-(aq)

    Cr2+ (aq)+ 2HC2H3O2(aq)+ 2NO3- (aq)

    Net ionic equation:2C2H3O2-(aq)+ 2H+(aq)2HC2H3O2(aq)

    C2H3O2-(aq)+ H+(aq)HC2H3O2(aq)

    Note: HC2H3O2 is a driving force

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    4.4 Oxidation-ReductionReactions (Redox)

    Corrosion - conversion of a metal into a metalcompound.

    When a metal undergoes corrosion, it loses

    electrons and form cations.

    E.g. Ca (s) + 2H+ (aq)Ca2+ (aq) + H2(g)

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    Cont: 4.4 Oxidation-ReductionReactions

    When atom, ion or molecule becomes morepositively charged (has lost electrons) - it hasbeen oxidized.

    Loss of electrons by a substance is calledoxidation.

    OIL RIG (Oxidation Is Losing, ReductionIs Gaining- in

    term of electrons)

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    Cont: 4.4 Oxidation-ReductionReactions

    Example: Metal react with O2 in air to formmetal oxides. The metal loses electrons to

    oxygen, forming metal ion and oxide ion.2Ca (s)+ O2(g)2CaO (s)

    Oxygen is transformed from neutral O2 to theO 2- ion.

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    Cont: 4.4 Oxidation-ReductionReactions

    When an atom, ion or molecule become morenegatively charged, it is reduced.

    The gain of electrons by a substance is called

    reduction. One reactant loses electrons, another

    reactant must gain electrons. This is calledoxidation-reduction or redox reactions.

    e-Substance

    oxidised

    (loses electron)

    Substance

    reduced

    (gains electron)

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    4.4.1 Oxidation Number

    Oxidation number of an atom in a substance is theactual charge of the atom if it is a monatomicion; otherwise, it is the hypothetical charge

    assigned to the atom using a set of rules.

    1. Atom in elemental form, the oxidation number iszero. E.g. S, Ar.

    2. Monatomic ion, the oxidation number equals thecharge on the ion. E.g. K+ ox. no. = +1, O2- ox. no.= -2.

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    Cont: 4.4.1 Oxidation Number

    3. Group 1A elements always have ox. no. = +1.Similarly, Group 2A = +2, Group 3A = +3.

    4. The ox. no. of oxygen is usually -2 in both ionicand molecular compounds (except peroxides O22-with ox. no. =-1).

    5. The ox. no. of hydrogen is +1 when bonded to

    nonmetals and -1 when bonded to metals.

    6. The ox. no. of fluoride ion is 1 for allcompounds.

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    Cont: 4.4.1 Oxidation Number

    7. The ox. no. of halides (Group 7A other thanfluoride) is 1 in binary compounds BUT positivevalues in oxyanions.

    8. The sum of ox. no. of all atoms in a neutralcompound is zero.

    9. The sum of ox. no. in a polyatomic ion equals the

    charge of the ion.10. Oxidation process will lead to increase in ox. no.,

    while reduction process decrease in ox. no.

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    4.4.2 Oxidation of Metals byAcids and Salts

    Acids

    Metal react with acids to form salts andhydrogen gas.

    Example: Mg (s)+ 2HCl (aq)MgCl2(aq)+ H2(g)

    Complete ionic equation:Mg (s)+ 2H+(aq)+ 2Cl-(aq)

    Mg2+ (aq)+ 2Cl- ( aq)+ H2(g)

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    Cont: 4.4.2 Oxidation of Metalsby Acids and Salts

    Net ionic equation:

    Mg (s)+ 2H+(aq) Mg2+ (aq)+ H2

    (g)

    Metal is oxidized by acid.

    H+ ions are reduced to H2.

    id i f l

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    Cont: 4.4.2 Oxidation of Metalsby Acids and Salts

    Salts

    Metal can be oxidized by aqueous solution ofvarious salts.

    A + BX AX + B

    Displacement reaction occur if A is more easilyoxidized than B.

    Example:

    Fe (s)+ Ni(NO3)2(aq) Fe(NO3)2(aq)+ Ni (s)

    C 2 O id i f l

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    Cont: 4.4.2 Oxidation of Metalsby Acids and Salts

    Net ionic equation:

    Fe (s) + Ni2+ (aq) Fe2+ (aq) + Ni (s)

    Oxidation of iron is accompanied by thereduction of Ni2+ to Ni.

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    4.4.3 The Activity Series

    Activity series is a list of metals arrangedin order of decreasing ease of oxidation.

    (i) Metals at the top of the table are mosteasily oxidized - react to form compounds.

    (ii) Alkali metals and alkaline earth metals

    are at the top - active metals.(iii) The transition elements from group 1B

    and 8B are at the bottom - noble metals.

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    Cont: 4.4.3 The Activity Series

    How to use The Activity Series ??

    (i) Any metal on the list can be oxidized by theions of elements below it.

    E.g. Cu (s)+ 2Ag+(aq) Cu 2+(aq)+ H2(g)

    (ii) Metals above hydrogen are able to reactwith acids to form H2.

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    H

    nnnnnn

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    Example 7

    Use the activity series to predict which of thefollowing reactions will occur.

    (a) Hg (l) + MnSO4(aq) HgSO4(s) + Mn (s)

    (b) 2Ag (s) + H2SO4(aq) Ag2SO4(aq) + H2(g)

    (c) Ca (s) + 2H2O (l) Ca(OH)2(aq) + H2(g)

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    Example 7 (Answer)

    M + HX MX + H

    M must be higher in the activity series than H.

    (a) Hg (l) + MnSO4(aq) no reaction

    Hg lies below Mn in the activity series, thus the

    reaction does not occur.

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    Example 7 (Answer)

    (b) 2Ag (s) + H2SO4(aq) no reaction

    Ag lies below hydrogen, thus the reaction does not

    occur.

    (c) Ca (s) + 2H2O (l) Ca(OH)2(aq) + H2(g)

    Ca lies above hydrogen, thus the reaction occurs.

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    4.5 Concentrations of Solutions

    Concentration - to designate the amount ofsolute dissolved in a given quantity of solvent or

    solution.

    The greater the amount of solute dissolved in acertain amount of solvent, the more

    concentrated the solution.

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    4.5.1 Molarity

    Quantitative measurement of concentrationrequires accurate determination of the amounts

    of solvent and solute present in a solution.

    Molarity (M) is used to measure the amount ofsolute in a solution.

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    Cont: 4.5.1 Molarity

    M = number of moles of solute, n

    volume of the solution in liters, V

    Molarity can be used as a conversion factor to

    change between volume of solution and numberof moles of substance.

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    Example 8

    What is the molarity of an ethanol (C2H6O)

    solution containing 10.0 g of ethanol in waterwith a total volume of 100 mL.

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    Example 8 (Answer)

    MW of C2H6O = 46.07 g

    10.0 g C2H6O 1 mol C2H6O = 0.217 mol C2H6O

    46.07 g C2H6O

    M = 0.217 mol C2H6O = 2.17 M

    0.100 L

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    Example 9

    How many grams of HCl are contained in 500 mL

    of a 0.250 M HCl solution?

    1 mol HCl = 36.45 g HCl

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    Example 9 (Answer)

    HCl is the solute, M = moles solute

    volume in liters

    mol solute = M volume in liters

    = 0.250 M x 0.500 L

    = 0.125 mol

    mass (g) = 0.125 mol molar mass HCl

    = 0.125 mol 36.45 g/mol

    = 4.56 g HCl

    4 5 2 Expressing the

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    4.5.2 Expressing theConcentration of Electrolyte

    When an ionic compound dissolves, the relativeconcentrations of the ions depend on thechemical formula of the compound.

    Examples:

    (i) 1.0 M solution of sodium sulfate, Na2SO4 :

    Na2SO4 2Na+

    + SO42-

    2.0 M in Na+ ions, 1.0 M in SO42- ions

    Cont: 4 5 2 Expressing the

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    Con t: 4.5.2 Expressing theConcentration of Electrolyte

    (ii) 0.025 M aqueous solution of calcium nitrate, Ca(NO3)2:

    Ca (NO3)2 Ca2+ + 2NO3-

    0.025 M in Ca2+ ions

    2 0.025 M in NO3-

    ions

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    4.5.3 Dilution

    Solutions of known concentration may bediluted with the solvent to produce a morediluted (less concentrated) solution.

    The number of moles of solute - unchange. Moles of solute before dilution = moles of

    solute after dilution.

    moles solute = molarity volume

    Minitial Vinitial = Mfinal Vfinal

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    Example 10

    What is the molarity of a solution of NaOH formed

    by diluting 125 mL of a 3.0 M NaOH solution to 500

    mL?

    Solution

    ffii VMVM

    MmL

    mLM

    V

    VMM

    f

    iif 75.0

    500

    1250.3

    4 6 Solution Stoichiometry and

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    4.6 Solution Stoichiometry andChemical Analysis

    4.6.1 Titration

    A titration is an experiment in which theunknown molarity of a substance ismeasured by using the known molarity ofanother substance.

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    Cont: 4.6.1 Titration

    Example: To determine the unknown concentrationof HCl solution .

    Standard solution: NaOH solution, 0.100 M

    Prepare 0.100 M NaOH

    (i) Take a specific volume of HCl solution (example: 20ml)

    (ii) Slowly add the standard 0.100 M NaOH until theneutralization reaction between HCl and NaOH iscompleted.

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    H

    nnnnnn

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    Cont: 4.6.1 Titration

    The point at which stoichiometrically equivalentquantities are brought together is known as theequivalence point of the titration.

    In acid-base titration, dyes known as acid-baseindicators are used to determine the end point.

    e.g. Phenolphthalein is colorless in acidic

    solution, red in basic solution.The color change from colorless to red endpoint of the titration.

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    Cont: 4.6.1 Titration

    The equivalence point of the titration is thepoint where the stoichiometrically correctnumber of the moles of each reactant is

    present. The end point of the titration is the point where

    the indicator changes.

    Note: The equivalence point and end point are notthe same, but coincide closely.

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    Example 11

    What is the molarity of a solution of H2SO4 if 20.00

    mL of a 0.100 M NaOH solution is required to reactcompletely with 25.00 mL of the H2SO4 solution.

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    Example 11 (Answer)

    The chemical reaction describing the reaction.

    H2SO4(aq)+ 2NaOH(aq) Na2SO4(aq)+ 2H20(l)

    Note: H2SO4 has two ionizable H+ ions that

    react with OH- ions from NaOH.

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    Example 11 (Answer)

    1

    2

    4242

    SOHSOH

    NaOHNaOH

    VM

    VM

    242

    42

    SOH

    NaOHNaOHSOH

    V

    VMM

    MmL

    mLM04.0

    200.25

    00.20100.0

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    A 10g solid sample containing Zn(OH)2 isadded to 0.400L of 0.550M solution of HBr.

    The solution that remains is still acidic. It is

    then titrated with 0.5M NaOH solution which

    requires 165 mL to reach the equivalence

    point. What is the actual mass of Zn(OH)2 in

    the sample? What is its mass percentage?

    Example 12

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    Example 12 (Answer)

    Acid + Base water (neutralization rxn)H+ + OH- salt + H20

    From Equation:Mol H+ (from HBr) = mol OH- (from Zn(OH)2 +

    mol OH- (from NaOH)

    H+ = 0.550M x 4.0L = 0.220 moles

    OH- (from NaOH) = 0.5M x (165/1000)L = 0.0825 moles

    OH- (from Zn(OH)2) = ? (x moles)

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    (Answer)

    X moles = 0.22 moles 0.0825 moles = 0.1375moles OH- from Zn(OH)2

    Zn(OH)2 Zn2+ + 2OH-

    If you we have 0.1375 moles of OH- = 0.1375/2moles Zn(OH)2 = 0.06875 moles

    So Zn(OH)2 = 0.06875 mol x 99.41 g/mole = 6.8344 gMass percentage = 6.8344/10 x 100 = 68.34%

    4.6.2 Stoichiometry for

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    4.6.2 Stoichiometry forReactions in Solution

    Step 1

    Identify the species present and determine what

    reaction occurs.

    Step 2

    Write the balanced net ionic equation for thereaction.

    Cont: 4.6.2 Stoichiometry for

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    Con t: 4.6.2 Stoichiometry forReactions in Solution

    Step 3

    Calculate the moles of reactants.

    Step 4 Determine which reactant is limiting.

    Step 5 Calculate the moles of product(s), convert to grams

    or other units as required.

    l 3

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    Example 13

    Calculate the mass of PbSO4, when 1.25 L of

    0.0500 M Pb(NO3)2 and 2.00 L of 0.0250M Na2SO4

    are mixed.

    Molecular Equation:

    Pb(NO3)2(aq) + Na2SO4(aq) PbSO4(s) +

    2NaNO3(aq)

    E l 13 (A )

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    Example 13 (Answer)

    Ionic Equation:

    2Na+(aq) + SO42-(aq) + Pb2+(aq) + 2NO3

    -(aq)

    PbSO4(s) + 2Na+(aq) + 2NO

    3

    -(aq)

    Net ionic equation:

    SO4

    2-(aq) + Pb2+(aq) PbSO4

    (s)

    E l 13 (A )

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    Example 13 (Answer)

    Moles of reactants

    moles of Pb2+

    =1.25 L 0.0500 mol = 0.0625 mol Pb2+

    L

    moles of SO42-

    =2.00 L 0.0250 mol = 0.0500 mol SO42-

    L

    E l 13 (A )

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    Example 13 (Answer)

    Limiting Reactants

    Pb2+ and SO42- react in a 1:1 ratio , the amount of

    SO42- will be the limiting factor.

    Grams of product

    0.0500 mol PbSO4 303.3 g PbSO4 =15.2 gPbSO41 mol PbSO4

    E i 4 1

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    Exercise 4.1

    What mass of NaOH is required to precipitate all

    the Fe2+

    ions from 50.0 mL of 0.200 M Fe(NO3)2solution?

    Answer: 0.800 g NaOH

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    END of CHAPTER 4

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    END of CHAPTER 4