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    REDOX TITTRATIONS

    Analytical Chemistry Laboratory

    2012

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    FUNDAMENTAL TERMS

    Reactive species in this reaction type is theelectron, which is transferred from the reductantto the oxidant

    Most elements are capable of exhibiting morethan one oxidation state

    It is customary to describe redox reaction inelectrochemical terms because transfer electronmay also be carried out in an electrochemicalcell

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    Redox Reactions Oxidation process : loss of electron

    Reduction process : gain of electron

    Reducing agent is oxidized

    Oxidizing agent is reduced

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    NERSNT EQUATION

    To relate electrochemical potentials to activities(concentration) of species in the system, we can

    draw on the thermodynamics relationshipinvolving free energy change and activities,namely :

    G = G0 + RT ln Q

    G = -nFE - nFE = -nFE0 + RT ln Q

    E = E0 - RT/nF ln QE = E0 - 0,05916/n log Q

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    E0 = electrochemical potential for the reaction

    when all species are in their standard state Its describe the tendency of the ion to

    reductizes

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    REDOX TITRATION CURVEs

    To evaluate a redox titration we must know theshape of its titration curve

    For redox titration, it is convenient to monitorelectrochemical potential coz we are dealingwith electron

    Nernst equation relates the electrochemicalpotential to the concentrations of reactants and

    products participating in a redox reaction

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    Consider, for example a titration in which theanalyte in a reduced state, Ared is titrated with atitrant in an oxidized state Tox.

    The titration reaction is :

    A red + T ox T red + Aoxthe electrochemical potential for the reaction isthe difference between the reduction potentialsfor the reduction and oxidation half reaction;thus

    Erxn = ETox/Tred EAox/Ared

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    Before the equivalence point the titration

    mixture consists of appreciable quantities ofboth the oxidized and reduced forms of theanalyte, but very little unreacted titrant.

    The potential, therefore, is best calculated usingthe nernst equation for the analytes halfreaction

    EAox/Ared = E0Aox/Ared RT/nF ln [Ared]/[Aox]

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    After each addition of titrant, the reactionbetween the analyte and titrant reaches astate of equilibrium. The reactionselectrochemical potential, Erxn, therefore

    is zero, andE Tox/Tred = E Aox/Ared

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    After the equivalence point, the potential iseasiest quast to calculate using the Nernstequation for the titrants half reaction, sincesignificant quantities of its oxidized and

    reduced forms are presentETox/Tred = E0Tox/Tred RT/nF ln [Tred]/[Tox]

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    Example

    Calculate the titration curve for the titration of50 mL of 0,1 M Fe2+with 0,1 M Ce4+ in a matrixof 1M HClO4. (after 5 mL, 50 mL and 60 mLtitrant added)

    the reaction is

    Fe 2+ + Ce 4+ Fe 3+ + Ce 3+

    assume analyte and titrant react completely

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    Answer

    We calculate volume we need to reach the equivalent point. From

    the stoichiometry we know that :

    So volume Ce4+ needed were :

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    Before equivalent point :

    Easier for us to measure the potential from analyte half potential reaction

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    Substituting these concentration into potential halfs reaction, gives us :

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    Equivalent Point :

    Mol of [Fe2+

    ] and [Ce4+] equal but so small, so we cant calculate the potentialfrom reactant or titrant halfs reaction only. We have to combine the two

    Nernst Equation.

    Adding together this two Nernst equation, give us :

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    At the equivalent point , the titration reaction stoichiometry requires that

    So the ratio of concentration become one and the log become zero, the

    potential then:

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    After adding 60 mL titrant : (the condition are after equivalent point),

    we can calculate the potential from potential of titrant halfs reaction

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    Substituting these concentration gives us :

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    Evaluating the end point

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    Finding the end point with visual indicator

    Redox indicator : substances that do not participate inthe redox titration, but whose oxidized and reducedforms differ in color

    When added to a solution containing analyte, theindicator imparts a color that depends on the solutionselectrochemical potential

    Since the indicator changes color in response to the

    elctrochemical potential, and not to the presence orabsence of a specific species, these compounds are calledgeneral redox indicator

    Specific redox indicator : react with the presence of aspecific species

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    Types of indicators used to signal end point :

    MnO4-when MnO4- is used as an oxidizing titrant, the solutionremains colorless until the first drop of excess MnO4- isadded. The first tinge purple signals the end point

    Starch (Specific Indicator)

    forms a dark blue complex with I2 and can be used tosignals the presence of excess I2 (color change : colorlessto blue), or the completion of a reaction in which I2 isconsumed (color change : blue to colorless)

    Thiocyanate (specific indicator)forms a soluble red-colored complex Fe(SCN)2+, with Fe3+

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    REDOX TITRATION METHODS

    Titration Involving Iodine : Iodometry and Iodimetry

    Titration With Oxidizing Agent : Permanganometry,Cerimetry, potassium dichromate

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    Iodimetry

    Titration with I2 solution

    Titration performed in neutral or mildy alkaline (pH 8) to

    a weakly acid solution

    Reason avoiding the pH too acid : starch as indicatortends to hydrolyze in strong acid, reducing power of

    some reducing agent decreases in acid solution, iodide

    produced in the reaction tends to be oxidized by dissolvedoxygen in acid solution

    Indicator : Starch

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    Iodometry

    Add excess of Iodide (I-) to a solution of an oxidizing agent, I2

    produced in an equivalent amount to the oxidizing agent

    I2 present can be titrated with reducing agent such as sodium

    thiosulfate

    I2 + 2S2O32- 2I- + S4O6

    2-

    End point titration detected with starch (by disappearance of the blue

    starch-I2 color)

    Most titration performed in acid solution

    Example : assay of potassium dichromate

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    View down the starch helix,

    showing iodine, inside the helix

    Structure of the repeating unit of thesugar amylose.

    Schematic structure of the starch-

    iodine complex. The amylose chain

    forms a helix around I6 unit.

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    Permanganometry

    Use potassium permanganate as oxidizing titrant

    Acts as self indicator for end point detection

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    Oxidation with Ce4+

    Ce4+ + e = Ce3+ 1.7V in 1 N HClO4

    yellow colorless 1.61V in 1N HNO3

    1.47V in 1N HCl

    1.44V in 1M H2SO4

    Indicator : ferroin, diphenylamine

    Preparation and standardization:

    Ammonium hexanitratocerate, (NH4)2Ce(NO3)6, (primary standard grade)

    Ce(HSO4)4, (NH4)4Ce(SO4)42H2O

    Standardized with Sodium oxalate.

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    Applications of cerimetry

    (1) Menadione (2-methylnaphthoquinon: vitamin K3)

    O

    O

    CH3

    OH

    OH

    CH3

    2 Ce(SO4)2

    HCl, Zn

    Reduction

    (2) Iron

    2FeSO4 + 2 (NH4)4Ce(SO4)4 = Fe2(SO4)3 + Ce2(SO4)3 + 4 (NH4)2SO4

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    Oxidation with potassium dichromate

    Cr2O72 + 14H+ + 6e = 2Cr3+ + 7H2O Eo = 1.36 V

    K2Cr2O7 is a primary standard.

    Indicator : diphenylamine sulphonic acid

    End point colour : violet

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    Ex. Redox titration ( hydroquinone vs dichromate standard

    solution )

    HO OH O O + 2H+ + 2e Eo= 0.700

    Cr2O72 + 14H+ + 6e 2 Cr3+ + 7 H2O

    Eo= 1.33

    3

    3

    HO

    OH + Cr2O72 + 8H+ 3

    O

    O + 2 Cr3+ + 7

    H2O

    E

    o

    = E

    o

    cathode E

    o

    anode = 1.33 0.700 =0.63 V

    K = 10 nEo/0.05916 = 10 6(0.63) / 0.05916 = 10 64

    redox indicator : diphenylamine

    colorless to violet

    Very large : quantitative : complete reaction

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    Example

    A solution of sodium thiosulfate was standardized by dissolving 0,1210 g of

    KIO3 (mw 214 g/mol) in water, adding a large excess of KI, and acidifying with

    HCl. The liberated iodine required 41,64 mL of the thiosulfate solution to

    decolorize the blue starch/iodine complex. Calculate the molarity of the

    Na2S2O3.

    Reaction :

    IO3- + 5I- + 6H+ 3 I2 + 3H2O

    I2 + 2S2O3 2- 2I- + S4O6 2-

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    Solution :

    1 mol IO3 equivalent to 3 mol I2 equivalent to 6 mol S2O3 2-

    Amount of S2O3 2- = [(0,1210 x 1000) / 214 ] x 6

    = 3,392 mmol

    Molarity of S2O3 2- = 3,392 : 41,64 mL = 0,0842 M

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    Determining waterwith the Karl FisherReagent

    The Karl Fisher reaction :

    I2

    + SO2

    + 2H2

    O 2HI + H2

    SO4

    For the determination of small amount of water, Karl Fischer(1935) proposed

    a reagent prepared as an anhydrous methanolic solution containing iodine,

    sulfur dioxide and anhydrous pyridine in the mole ratio 1:1:3 The reaction

    with water involves the following reactions :

    C5H5NI2 + C5H5NSO2 + C5H5N + H2O

    2 C5H5NH I + C5H5NSO3C5H5N

    +SO3 + CH3OH C5H5N(H)SO4CH3

    Pyridinium sulfite can also consume water.

    C5H5N+SO3

    + H2O C5H5NH+SO4H

    It is always advisable to use fresh reagent because of the presence of various side reactions involving iodine. The reagent is stored in a desiccant-

    protected container.

    The end point can be detected either by visual( at the end point, the color

    changes from dark brown to yellow) or electrometric, or photometric

    (absorbance at 700nm) titration methods. The detection of water by the

    coulometric technique with Karl Fischer reagent is popular.

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    Pyridine free Karl Fisher reagent

    In recent years, pyridine, and its objectionable odor, have been replaced in the

    Karl Fisher reagent by other amines, particularly imidazole.

    (1) Solvolysis 2ROH + SO2 RSO3 + ROH2

    +

    (2) Buffering B + RSO3 + ROH2

    + BH+SO3R

    + ROH

    (3) Redox BI2 + BH+SO3R

    + B + H2O BH+SO4R

    + 2 BH+I

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    HOME WORK

    Derive a curve for the titration of 50 mL of 0,025 M U 4+ with 0,1 M Ce 4+ after

    adding 5 mL , 25mL, and 30 mL of Ce 4+ . Assume that the solution Is 1.0 < in

    H2SO4 throughout the titration ([H+] for such a solution will be about 1.0 M)

    The analytical reaction is :U 4+ + 2H2O + 2 Ce4+ UO2

    2+ + 2 Ce 3+ + 4H+

    From the handbook :

    Ce 4+ + e Ce 3+ Eo = +1.44 V

    UO 2 2+ + 4H+ + 2e U 4+ + 2H2O Eo = +0,334 V