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    Potentiometric Methods  A.) Introduction:

    1.) Potentiometric Methods: based on measurements of the potential of electrochemical

    cells in the absence of appreciable currents (i  0)

    2.) Basic Components:

    a) reference electrode: gives reference for potential measurement

    b) indicator electrode: where species of interest is measuredc) potential measuring device

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    B.) Reference Electrodes:

    1.) Need one electrode of system to act as a reference against which potential

    measurements can be made  relative comparison.

    esired !haracteristics:a) "nown or fi#ed potential

    b) constant response

    c) insensitive to composition of solution under study

    d) obeys Nernest $%uation

    e) reversible

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    B.) Reference Electrodes:

    &.) !ommon 'eference $lectrodes used in Potentiometry

    a) !alomel $lectrode (g in contact with g&!l&  *!l)

    i. Saturated Calomel Electrode (+!$) very widely used

    ½ cell:  g,g&!l& (satd)- *!l (#M)

    ½ reaction: g&!l& (s) / &e  &g / &!l

    ote: response is dependent on !l2

    SCE 

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    b) +ilver,+ilver !hloride $lectrode

    most widely used reference electrode system

    3g electrode in *!l solution saturated with 3g!l

    ½ cell:  3g,3g!l (satd)- *!l (#M)

    ½ reaction:  3g!l (s) / e  3g(s) / !l

     Ad!anta"e  4 one advantage over +!$ is that 3g,3g!l

    electrode can be used at temperatures 5 60o!

    #isad!anta"e 4 3g reacts with more ions

    c) Precautions in the 7se of 'eference $lectrodes

    need to "eep level of solution in reference electrode

    above

    level in analyte solution

    need to prevent flow of analyte solution into reference electrode‚can result in plugging of electrode at junction erratic behavior 

    8ycor plug

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    C.) Indicator Electrodes:

    1.) etects or 'esponds to Presence of 3nalyte

    9hree !ommon 9ypes:

    a) Metallic ndicator $lectrodesb) Membrane ndicator $lectrodes

    c) Molecular +elective $lectrode

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    &.) Metallic ndicator $lectrode (;our Main 9ypes)

    a) Metallic $lectrodes of the ;irst *ind

    i. nvolves single reaction

    ii. etection of cathode derived from the metal used in the electrodeiii. $#ample: use of copper electrode to detect !u&/ in solution

    ½ reaction:  !u&/ / &e  !u (s)

    E ind  "i!es direct measure of Cu2$:

    $ind < $o!u 4 (0.0=>&,&) log a!u(s),a!u&/

    since aCu%s) & 1:

    $ind < $o!u 4 (0.0=>&,&) log 1,a!u&/

    or usin" pCu & 'lo" aCu2$:

    $ind < $o!u 4 (0.0=>&,&) p!u

     i!. Problems: not very selective

    many can only be used at neutral p metals dissolve in acids

    some metals readily o#idi?e

    certain hard metals (;e- !r- !o- Ni) do not yield reproducible

    results

    p@ versus activity differ significantly and irregularly from theory

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    &.) Metallic ndicator $lectrode (;our Main 9ypes)

    b) Metallic $lectrodes of the +econd *ind

    i. etection of anion derived from the interaction with metal ion (Mn/)

    from the electrode

    ii.  3nion forms precipitate or stable comple# with metal ion (Mn/)iii. $#ample: etection of !l with 3g electrode

    ½ reaction:  3g!l(s) / e  3g(s) / !l $A < 0.&&& 8

    E ind  "i!es direct measure of Cl ':

    $ind < $o 4 (0.0=>&,1) log a 3g(s) a!l,a 3g!l(s)since a A"%s)  and a A"Cl%s)& 1

    ( E o & .222 *:

    $ind < 0.&&& 4 (0.0=>&,1) log a!l

    i!. 3nother $#ample: etection of $93 ion (BC) with g $lectrode

    ½ reaction:  gB& / &e  g(l) / BC $o < 0.&1 8

    E ind  responds to a+ ,':

    $ind < $o 4 (0.0=>&,&) log ag(l) aBC,agB&

    since a-"%l)  & 1 and E o & .21 *:

    $ind < 0.&1 4 (0.0=>&,1) log aBC,agB&

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    &.) Metallic ndicator $lectrode (;our Main 9ypes)

    c) Metallic $lectrodes of the 9hird *ind

    i. Metal electrodes responds to a different cation

    ii. Din"ed to cation by an intermediate reaction' Alread sa/ detection of E#0A -" electrode %2 nd  ind)

    ii. !an be made to detect other cations that bind to $93  affecting aBC

    i!. $#ample: etect !a by comple# with $93

    equilibrium reaction:  !aB&  !a&/ / BC

    3here:  f &

    $ind < 0.&1 4 (0.0=>&,1) log aBC,agB&

    aca&/ . aBC

    a!aB&ayC < *f  

    . aca&/

    a!aB&

    ote: aBC and $ind now also changes with a!a&/

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    &.) Metallic ndicator $lectrode (;our Main 9ypes)

    d) Metallic 'edo# ndicators

    i. $lectrodes made from inert metals (Pt- 3u- Pd)ii. 7sed to detect o#idation,reduction in solution

    iii. $lectrode acts as e source,sin"

    i!. $#ample: etection of !eE/ with Pt electrode

    ½ reaction:  !eC/ / e  !eE/

    E ind  responds to Ce,$:

    $ind < $o 4 (0.0=>&,1) log a!eE/,a!eC/

    !.  Problems:

    electrontransfer processes at inert electrodes are fre%uently

    not reversible

    do not respond predictably to F reactions in tables

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    E.) Membrane ndicator $lectrodes

    a) General

    i. electrodes based on determination of cations or anions by the selective adsorption

    of these ions to a membrane surface.ii. Aften called on +elective $lectrodes (+$) or pon $lectrodes

    iii. esired properties of +$Hs

    ‚minimal soluilit  4 membrane will not dissolve in solution during

    measurement

     4 silica- polymers- low solubility inorganic compounds

    (3g@) can be used‚eed some electrical conducti!it 

    ‚Selecti!el inds ion of interest 

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    E.) Membrane ndicator $lectrodes

    ) p- Electrode

    i. most common e#ample of an +$

      ‚ based on use of glass membrane that preferentially binds /

    ii. 9ypical p electrode system is shown

    ‚ 9wo reference electrodes here

    ‚ one +!$ outside of membrane

    ‚ one 3g,3g!l inside membrane

    ‚ p sensing element is glass tip of 3g,3g!l electrode

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    iii.  p is determined by formation of boundary potential across glass membrane

     3t each membranesolvent interface- a small local potential

    develops due to the preferential adsorption of / onto the glass

    surface.

    Si   A

    Glass +urface

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    iii.  p is determined by formation of boundary potential across glass membrane

    Ioundary potential difference ($b) < $1 &p log a/ (on exterior of probe or

    in analyte solution)constant

    Selecti!e indin" of cation %- $ ) to "lass memrane

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    i!.  3l"ali $rror 

    ‚ / not only cation that can bind to glass surface / generally has the strongest binding

    ‚ Get wea" binding of Na/- */- etc

    ‚ Most significant when /

    2 or a/ is low (high p) usually p 111&

     3t low a/ (high p)- amount of Na/ or

    */ binding is significant  increases

    the JapparentK amount of bound / 

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    !.  3cid $rror 

    ‚ $rrors at low p (3cid error) can give readings that are too high

    ‚ $#act cause not "nown

    usually occurs at p 0.=

    c) 4lass Electrodes for 5ther Cations

    i. change composition of glass membrane

    ‚ putting 3l&AE or I&AE in glass

    ‚ enhances binding for ions other than /

     ii. 7sed to ma"e +$Hs for Na/- Di/- NC/

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      d) Crstalline Memrane Electrodei. ;luoride $lectrode

    ‚ Da;E crystal doped with $u;&‚ mechanism similar to p electrode with potential developing at two

    interfaces of the membrane from the reaction:

    Da;E  Da;&/ / ;

    Solid

    (membrane surface)

    Solution

    ˆ the side of the membrane with the lower a; 

    becomes positive relative to the other surface:

    $ind < c 4 0.0=>& p; 

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    e) 6i7uid Memrane Electrode

    ‚ JMembraneK usually consists of organic li%uid (not soluble in sample) held by

    porous dis" between a%ueous reference solution and a%ueous sample solution.

    ‚ Membrane has ability to selectively bind ions of interest

    P

    'A A

    'A A!aA

    P

    AA'

    A'

    E8ample: !alcium dial"yl

    phosphate Di%uid membrane

    electrodes

     3t solution,membrane interfaces:

    ('A)&PAA2&!a &('A&)PAA / !a&/

    Organic

    (membrane)

    Organic

    (membrane surface)

    Solution

    (aqueous sample)

    ˆ the side of the membrane with the lower a!a&/ 

    becomes negative relative to the other surface:

    $ind < c 4 0.0=>&,& p!a 

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    e) 6i7uid Memrane Electrode

    ‚ !an design Di%uid Membrane $lectrodes for either cations or anions

    cations  use cation e#changers in membrane

    anions  use anion e#changers in membrane

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    iii. $n?yme electrodes (or Iiocatalytic Membrane $lectrodes)

    ‚ General approach is to use an immobili?ed en?yme

    en?yme converts a given molecular analyte into a species that

    can be measured electrochemically

    en?yme substrate  E8amples:

    /  p electrode

    !A&  !A& gas sensing electrode

    NC/  NC

    / +$

    ‚$#ample 4 7rea $n?yme $lectrode

    Principal: n presence of en?yme urease- urea (NC)&!A is

    hydroly?ed to give NE and /

    (NC)&!A / &&A / /  &NC

    / / !AE

    &NE / &/Monitor amount of - 9 produced

    usin" - 9 "as sensin" electrode

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     Example 18: The following cell was used for the determination of pCrO4:

      SCE||CrO42- (!"# $g2CrO4 (sat%d"|$g

      Calculate pCrO4 if the cell potential is -&')*'


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