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Potentiometry • Potential measurements of electrochemical cells • Ion selective methods  Reference electrode  Indicator electrode  Potential measuring device • • • • Reference electrode Indicator electrodes Ion specific electrodes Potentiometric measurements 15-1 Reference electrode • Known half-cell • Insensitive to solution under examination  Reversible and obeys Nernst equation  Constant potential  Returns to original potential • Calomel electrode  Hg in contact with Hg(I) chloride  Ag/AgCl 15-2 Calomel electrode 15-3 15-4 Indicator electrode • Ecell=Eindicator-Ereference • Metallic  1st kind, 2nd kind, 3rd kind, redox • 1st kind  respond directly to changing activity of electrode ion  Direct equilibrium with solution 15-5 Ion selective electrode • Not very selective • simple • some metals easily oxidized (deaerated solutions) • some metals (Zn, Cd) dissolve in acidic solutions • Ag, Hg, Cu, Zn, Cd, Bi, Tl, Pb 15-6 2nd kind • Precipitate or stable complex of ion  Ag for halides  Ag wire in AgCl saturated surface • Complexes with organic ligands  EDTA • 3rd kind  Electrode responds to different cation  Competition with ligand complex 15-7 Metallic Redox Indictors • Inert metals  Pt, Au, Pd  Electron source or sink  Redox of metal ion evaluated  May not be reversible • Membrane Indicator electrodes  Non-crystalline membranes:  Glass - silicate glasses for H+, Na+  Liquid - liquid ion exchanger for Ca2+  Immobilized liquid - liquid/PVC matrix for Ca2+ and NO3 Crystalline membranes:  Single crystal - LaF3 for FPolycrystalline  or mixed crystal - AgS for S2- and Ag+ Properties  Low solubility - solids, semi-solids and polymers  Some electrical conductivity - often by doping  Selectivity - part of membrane binds/reacts with analyte • 15-8 Glass Membrane Electrode 15-9 Glass membrane structure • H+ carries current near surface • Na+ carries current in interior • Ca2+ carries no current (immobile) 15-10 Boundary Potential • • • • • • • • • • • Difference in potentials at a surface Potential difference determined by  Eref 1 - SCE (constant)  Eref 2 - Ag/AgCl (constant)  Eb Eb = E1 - E2 = 0.0592 log(a1/a2) a1=analyte a2=inside ref electrode 2 If a2 is constant then Eb = L + 0.0592log a1 = L - 0.0592 pH where L = -0.0592log a2 Since Eref 1 and Eref2 are constant Ecell = constant - 0.0592 pH 15-11 Alkaline error • Electrodes respond to H+ and cation  pH differential • Glass Electrodes for Other Ions:  Maximize kH/Na for other ions by modifying glass surface  Al2O3 or B2O3)  Possible to make glass membrane electrodes for  Na+, K+, NH4+, Cs+, Rb+, Li+, Ag+ 15-12 Crystalline membrane electrode • • • • • Usually ionic compound Single crystal Crushed powder, melted and formed Sometimes doped (Li+) to increase conductivity Operation similar to glass membrane • F electrode 15-13 Liquid membrane electrodes • Based on potential that develops across two immiscible liquids with different affinities for analyte • Porous membrane used to separate liquids • Selectively bond certain ions  Activities of different cations • Calcium dialkyl phosphate insoluble in water, but binds Ca2+ strongly 15-14 15-15 Molecular Selective electrodes • Response towards molecules • Gas Sensing Probes  Simple electrochemical cell with two reference electrodes and gas permeable PTFE membrane  allows small gas molecules to pass and dissolve into internal solution  O2, NH3/NH4+, and CO2/HCO3-/CO32- 15-16 15-17 Biocatalytic Membrane Electrodes • Immobilized enzyme bound to gas permeable membrane • Catalytic enzyme reaction produces small gaseous molecule (H+, NH3, CO2) • gas sensing probe measures change in gas concentration in internal solution  Fast  Very selective  Used in vivo  Expensive  Only few enzymes immobilized  Immobilization changes activity  Limited operating conditions  pH  temperature  ionic strength 15-18 Electrode calibration 15-19 NH4 electrode 15-20 Potentiometric titration 15-21 Coulometry • Quantitative conversion of ion to new oxidation state  Constant potential coulometry  Constant current coulometry Coulometric titrations * Electricity needed to complete electrolysis measured  Electrogravimetry Mass of deposit on electrode 15-22 Constant voltage coulometry • Electrolysis performed different ways  Applied cell potential constant  Electrolysis current constant  Working electrode held constant  ECell=Ecathode-Eanode +(cathode polarization)+(anode polarization)-IR • Constant potential, decrease in current  1st order  It=Ioe-kt • Constant current change in potential  Variation in electrochemical reaction  Metal ion, then water 15-23 15-24 Analysis • • • Measurement of electricity needed to convert ion to different oxidation state  Coulomb (C)  Charge transported in 1 second by current of 1 ampere * Q=It I= ampere, t in seconds  Faraday (F)  Charge in coulombs associated with mole of electrons * 1.602E-19 C for electron * F=96485 C/mole eQ=nFN Find amount of Cu2+ deposited at cathode  Current = 0.8 A, t=1000 s  Q=0.8(1000)=800 C  n=2  N=800/(2*96485)=4.1 mM 15-25 Coulometric methods • Two types of methods • Potentiostatic coulometry  maintains potential of working electrode at a constant so oxidation or reduction can be quantifiably measured without involvement of other components in the solution  Current initially high but decreases  Measure electricity needed for redox  arsenic determined oxidation of arsenous acid (H3AsO3) to arsenic acid (H3AsO4) at a platinum electrode. • Coulometric titration  titrant is generated electrochemically by constant current  concentration of the titrant is equivalent to the generating current  volume of the titrant is equivalent to the generating time  Indicator used to determined endpoint 15-26