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Potentiometry (Chapter 14)
Potentiometry
Ecell w/o current flow  info abt. a chemical system
• endpoint in a titration
• Measure [ion]
Rapid; Simple; Inexpensive
Need
Reference electrode
Indicator electrode
Potential measuring device
Potentiometry
Typical Cell
Reference electrode / salt bridge / analyte soln / Indicator electrode
Eref Ej Eind
Reference electrode: Anode by convention
Ecell = Ecath - Eanode
= Eind - Eref + Ej
Potentiometry Cell:
Potentiometry
A. Junction Potential (Ej)
– Potential that develops across the boundary between
2 electrolyte solns of different composition
– Fundamental problem in Potentiometry
– Limits accuracy
– Small unk. value
A junction potential of ~ 3 mV produces an error of ~ 0.05 pH units
(12% error in [H+])
0.01 M HCL
-
+
1 M HCl
examples
Skoog etal
Caused differences in
mobility of the ions
Potentiometry
B. Reference Electrodes
Why is the SHE not useful as a reference in potentiometry
a. Limited practical use
b. Difficult to prepare electrode surfaces
c. Difficult to control the activity of H+
d. All of the above
Which one of the following is a arbitrary reference electrode
for measuring electrode potentials
a. Ag/AgCl
b. Saturated Calomel Electrode
c. Normal Hydrogen electrode
d. All of the above
1. Ag/AgCl
Ag / AgCl, KCl (x M) //
AgCls + 1e-
 Ags + Cl-
E0
= 0.222 V
Potential determined by [Cl-
]
Sat’d, E = 0.197 V
Two common Reference Electrodes
Ag/AgCl
SCE
2. calomel electrode
Hg / Hg2Cl2 (sat’d), KCl (x M) //
Hg2Cl2(s) + 2e-  2Hgl + 2Cl-
Potential determined by [Cl-
]
Standard conditions: E0
= 0.268 V
Sat’d calomel electrode (SCE) E = 0.241 V
Why are sat’d solutions used?
Voltage Conversions Between
Different Reference Scales
p. 331
SCE to SHE; SHE to SCE
SHE to AgCl; AgCl to SHE
C. Indicator Electrodes
Electrode that responds directly to the analyte
Ideal:
Responds rapidly, reproducibly
Selective
Two main types
1- metallic
2- membrane
Potentiometry
1. Metallic Electrodes
Example,
Pt in a solution of Fe2+
/Fe3+
Potential determined by the
Nernst Equation
Eind = E0
– 0.0592 log [Fe2+
]/[Fe3+
]
Ecell = Eind – E AgCl + Ej
Not selective
Potentiometry
2. Membrane Indicator Electrodes
– Ion selective electrodes (pIon electrodes)
– Respond “selectively” to one species in solution
Inside: soln containing the ion of interest, const. A
Outside: soln containing the ion of interest, var. A
Measure potential difference across the membrane
Thin membrane that separates the sample from the inside
of the electrode
pH measurement with a glass electrode
Glass combination electrode
pH electrode
Cell schematic
Ag l AgCl l Cl- (x M) ll H+ (outside) l H+ (inside), Cl- (x M) l AgCl l Ag
Cations (Na+
) bind oxygen in SiO4
structure
pH Electrode
Membrane must be hydrated
Functions by exchange of ions at the surface
H+
Gls = H+
aq + Gl-
s
Glass 1 Soln 1
H+
Gls = H+
aq + Gl-
s
Glass 2 Soln 2
Eb = E1 – E2 = 0.05916 log Ain / Aout
Eb = L – 0.0592pH
Position of these two equil. are determined by aH+ in soln
on the two sides of the membrane
Glass Electrode Potential
Three components
1- boundary potential
2- potential of internal Ag/AgCl reference electrode
3- small asymmetry potential
Eind = Eb + Eref2 + Easy
Eind = L’ + 0.0592 Log A1 + Eref2 + Easy
Eind = K + 0.0592 Log [H+]
Eind = K + β0.0592 Log [H+]
Electromotive efficiency
Activity becomes important when
a. Ions have divalent or trivalent charges
b. Ionic strength of the solution is high
c. All of the above
d. None of the above
Activity vs Concentration
Calibrating a glass electrode
Eind = K + 0.0592 Log [H+]
For every 10 fold change in
activity, the potential should
change by 59.2 mV
Slope = ?
Potentiometry
Errors (limitations) in pH measurements
1- must calibrate electrode
2- junction potential and drift
3- alkaline (sodium) error
4- acid error
5- allow membrane to equilibrate
6- membrane must be hydrated
7- Temperature
Other examples of ISE
Eind = K + (0.0592 / 2)Log [Ca2+
]
Liquid-based ISE
E = K – 0.0592 Log [F-]
Slope = ?
Solid State ISE
Linear range = ?
Potentiometry
Equation written from the point of view that the membrane
electrode responds to only one ion, maybe more
Full expression
E = const. + 2.303RT / zF log (Ai + Ki,jAj
zi/zj
)
K  ranges from 0 to values greater than 1
Selectivity coefficient
KA,X = response of X / response of A
The smaller, the less interference by X
Potentiometry
Monovalent cations (assume k= 0)
E = const + 0.0592 log Ax+
Monovalent anions (assume k = 0)
E = const – 0.0592 log Aa-
Constant made up of several constants
Determine experimentally
1- meas. Ecell for std sol of known conc.
2- meas Ecell for unknown conc.
make assumption that K is unchanged
Advantages (Figures of Merit) and other characteristics
a.Linear response over a wide range
b.Non destructive
c.Non contaminating
d.Short response time (min)
e.Unaffected by color and turbidity
f.Precision: OK (1% at best)
g.Sensitivity/Detection limits: (10-6
to 10-9***
M)
h.Standard addition method often used (Why ?)
Problems:
Questions to ask: Membrane or Metal ISE??
If membrane,
Ecell = Emem
–
Eref
Ememb = const +/− 0.0592 log a
If metal,
Ecell = Ecathode
–
Eref
Ecathode  Nernst Eq
Calculate the potential of the following cell when the
aqueous solution is 7.40 x 10-3
M Hg2+
SCE // aq soln / Hg
SCE is the saturated Calomel electrode, E0’
= 0.244 V
Example
A pH glass/calomel electrode was found to develop
a potential of –0.0412 V when used with a buffer of
pH 6.00. With an unk soln, the potential was
–0.2004 V. Calculate the pH of the solution.

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Potentiometry

  • 1. Potentiometry (Chapter 14) Potentiometry Ecell w/o current flow  info abt. a chemical system • endpoint in a titration • Measure [ion] Rapid; Simple; Inexpensive Need Reference electrode Indicator electrode Potential measuring device
  • 2. Potentiometry Typical Cell Reference electrode / salt bridge / analyte soln / Indicator electrode Eref Ej Eind Reference electrode: Anode by convention Ecell = Ecath - Eanode = Eind - Eref + Ej
  • 4. Potentiometry A. Junction Potential (Ej) – Potential that develops across the boundary between 2 electrolyte solns of different composition – Fundamental problem in Potentiometry – Limits accuracy – Small unk. value A junction potential of ~ 3 mV produces an error of ~ 0.05 pH units (12% error in [H+])
  • 5. 0.01 M HCL - + 1 M HCl examples Skoog etal
  • 7. Potentiometry B. Reference Electrodes Why is the SHE not useful as a reference in potentiometry a. Limited practical use b. Difficult to prepare electrode surfaces c. Difficult to control the activity of H+ d. All of the above Which one of the following is a arbitrary reference electrode for measuring electrode potentials a. Ag/AgCl b. Saturated Calomel Electrode c. Normal Hydrogen electrode d. All of the above
  • 8. 1. Ag/AgCl Ag / AgCl, KCl (x M) // AgCls + 1e-  Ags + Cl- E0 = 0.222 V Potential determined by [Cl- ] Sat’d, E = 0.197 V Two common Reference Electrodes Ag/AgCl SCE
  • 9. 2. calomel electrode Hg / Hg2Cl2 (sat’d), KCl (x M) // Hg2Cl2(s) + 2e-  2Hgl + 2Cl- Potential determined by [Cl- ] Standard conditions: E0 = 0.268 V Sat’d calomel electrode (SCE) E = 0.241 V Why are sat’d solutions used?
  • 10. Voltage Conversions Between Different Reference Scales p. 331 SCE to SHE; SHE to SCE SHE to AgCl; AgCl to SHE
  • 11. C. Indicator Electrodes Electrode that responds directly to the analyte Ideal: Responds rapidly, reproducibly Selective Two main types 1- metallic 2- membrane
  • 12. Potentiometry 1. Metallic Electrodes Example, Pt in a solution of Fe2+ /Fe3+ Potential determined by the Nernst Equation Eind = E0 – 0.0592 log [Fe2+ ]/[Fe3+ ] Ecell = Eind – E AgCl + Ej Not selective
  • 13. Potentiometry 2. Membrane Indicator Electrodes – Ion selective electrodes (pIon electrodes) – Respond “selectively” to one species in solution Inside: soln containing the ion of interest, const. A Outside: soln containing the ion of interest, var. A Measure potential difference across the membrane Thin membrane that separates the sample from the inside of the electrode
  • 14.
  • 15. pH measurement with a glass electrode Glass combination electrode
  • 16. pH electrode Cell schematic Ag l AgCl l Cl- (x M) ll H+ (outside) l H+ (inside), Cl- (x M) l AgCl l Ag Cations (Na+ ) bind oxygen in SiO4 structure
  • 18. Functions by exchange of ions at the surface H+ Gls = H+ aq + Gl- s Glass 1 Soln 1 H+ Gls = H+ aq + Gl- s Glass 2 Soln 2 Eb = E1 – E2 = 0.05916 log Ain / Aout Eb = L – 0.0592pH Position of these two equil. are determined by aH+ in soln on the two sides of the membrane
  • 19. Glass Electrode Potential Three components 1- boundary potential 2- potential of internal Ag/AgCl reference electrode 3- small asymmetry potential Eind = Eb + Eref2 + Easy Eind = L’ + 0.0592 Log A1 + Eref2 + Easy Eind = K + 0.0592 Log [H+] Eind = K + β0.0592 Log [H+] Electromotive efficiency
  • 20. Activity becomes important when a. Ions have divalent or trivalent charges b. Ionic strength of the solution is high c. All of the above d. None of the above Activity vs Concentration
  • 21. Calibrating a glass electrode Eind = K + 0.0592 Log [H+] For every 10 fold change in activity, the potential should change by 59.2 mV Slope = ?
  • 22. Potentiometry Errors (limitations) in pH measurements 1- must calibrate electrode 2- junction potential and drift 3- alkaline (sodium) error 4- acid error 5- allow membrane to equilibrate 6- membrane must be hydrated 7- Temperature
  • 23. Other examples of ISE Eind = K + (0.0592 / 2)Log [Ca2+ ] Liquid-based ISE
  • 24. E = K – 0.0592 Log [F-] Slope = ? Solid State ISE Linear range = ?
  • 25.
  • 26. Potentiometry Equation written from the point of view that the membrane electrode responds to only one ion, maybe more Full expression E = const. + 2.303RT / zF log (Ai + Ki,jAj zi/zj ) K  ranges from 0 to values greater than 1 Selectivity coefficient KA,X = response of X / response of A The smaller, the less interference by X
  • 27. Potentiometry Monovalent cations (assume k= 0) E = const + 0.0592 log Ax+ Monovalent anions (assume k = 0) E = const – 0.0592 log Aa-
  • 28. Constant made up of several constants Determine experimentally 1- meas. Ecell for std sol of known conc. 2- meas Ecell for unknown conc. make assumption that K is unchanged
  • 29. Advantages (Figures of Merit) and other characteristics a.Linear response over a wide range b.Non destructive c.Non contaminating d.Short response time (min) e.Unaffected by color and turbidity f.Precision: OK (1% at best) g.Sensitivity/Detection limits: (10-6 to 10-9*** M) h.Standard addition method often used (Why ?)
  • 30. Problems: Questions to ask: Membrane or Metal ISE?? If membrane, Ecell = Emem – Eref Ememb = const +/− 0.0592 log a If metal, Ecell = Ecathode – Eref Ecathode  Nernst Eq
  • 31. Calculate the potential of the following cell when the aqueous solution is 7.40 x 10-3 M Hg2+ SCE // aq soln / Hg SCE is the saturated Calomel electrode, E0’ = 0.244 V
  • 32. Example A pH glass/calomel electrode was found to develop a potential of –0.0412 V when used with a buffer of pH 6.00. With an unk soln, the potential was –0.2004 V. Calculate the pH of the solution.