lecture #48 redoxchemistry: log c vs pe diagrams · iron redox diagram analogous to log c vs ph...

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Lecture #48 Redox Chemistry: Log C vs pe Diagrams (Stumm & Morgan, Chapt.8 ) Benjamin; Chapter 9 David Reckhow CEE 680 #48 1 Updated: 29 April 2020 Print version

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Lecture #48Redox Chemistry:

Log C vs pe Diagrams(Stumm & Morgan, Chapt.8 )

Benjamin; Chapter 9

David Reckhow CEE 680 #48 1

Updated: 29 April 2020 Print version

The Iron Mystery If:

The Fe+2/Fe+3 boundary is at a peo and pe(w) of 13.03 Oxygen saturated water should have a pe(w) of 13.6, but

Pankow says the effective pe(w) of surface water is more like 12.6

Will reduced iron spontaneously oxidize to ferric in surface waters?1. Yes2. No

David Reckhow CEE 680 #48 2

Then why is it so hard to keep reduced iron (ferrous) from oxidizing to the ferric form?

Redox and pH effects Often oxidation of metals results in a more hydrolyzed

species Acidity of oxidized species is higher, resulting in release of

protons Speciation changes and affects the overall reaction

A good example is the oxidation of ferrous iron to ferric Fe+3 + e- ↔ Fe+2

peo = 13.03 This is very close to the theoretical peo defined by saturated O2

in water (13.6), or the effective peo (e.g., 12.6) But this is deceptive, because Fe+3 isn’t the dominant species at

neutral pH

David Reckhow CEE 680 #48 3

Ferrous Hydroxides: α diagram

David Reckhow CEE 680 #48 4

pH0 1 2 3 4 5 6 7 8 9 10 11 12 13 14

α

1e-10

1e-9

1e-8

1e-7

1e-6

1e-5

1e-4

1e-3

1e-2

1e-1

1e+0

α0

α1 α2

α3Fe+2

FeOH+

Fe(OH)2o

Fe(OH)3-

pH 7.0 Fe+2 dominates at neutral pH

Ferric Hydroxides: α diagram

David Reckhow CEE 680 #48 5

pH0 1 2 3 4 5 6 7 8 9 10 11 12 13 14

α

1e-10

1e-9

1e-8

1e-7

1e-6

1e-5

1e-4

1e-3

1e-2

1e-1

1e+0

1e+1 α0 α1α2 α3

Fe+3

FeOH+2

Fe(OH)2-

Fe(OH)3o

α4

Fe(OH)4-

pH 7.0 Fe+3 is a minor

species at neutral pH

Iron redox diagram

Analogous to log C vs pH diagram

David Reckhow CEE 680 #47 6

Stumm & Morgan, 1996; Fig. 8.1, pg. 435Similar to: Benjamin, 2002Fig 9-3, pg.486

][][}{ 3

2

+

+− =

FeFeeK

𝐾𝐾 = 1013.03

Iron: considering speciation

David Reckhow CEE 680 #48 7

13.034.70

HOCl and H2S example Neutral pH (~7.0)

0.1 mM HOCl, 1 mM Cl-

1 mM H2S and SO4-2

David Reckhow CEE 680 #48 8

Summary

David Reckhow CEE 680 #48 9

Hypochlorite

5 x 10-4M ClT Where:

ClT = [HOCl] + [OCl-] + [Cl-]

David Reckhow CEE 680 #48 10

OHCleHHOCl 221

21

21

21 +↔++ −−+

1.255.05.0

5.0

10}{}{}{

}{ +−+

==eHHOCl

ClK

Kn

peo log1=

pHHOClCl

HHOClCl

Oxd

npp o

21

21

5.05.0

5.0

}{}{log1.25

}{}{}{log1.25

][][Relog1

−=

−=

−=

+

εε

Determining Equilibrium Concentrations Graphical solution analogous to acid/base

problems Create LogC vs pe diagram Determine location on graph using electron balance

Analogous to proton balance in acid/base problems

Example: HOCl and NaHS Reduced species: Cl- which is 2e- poor Oxidized species: SO4

-2 which is 8e- rich

David Reckhow CEE 680 #48 11

HOCl & HS-

10-4M ST

5 x 10-4 ClT

David Reckhow CEE 680 #48 12

Electron Balance Oxidation Reduction

e- Balance:

David Reckhow CEE 680 #48 13

8[SO4-2] = 2[Cl-]

HS-HOCl

OHCleHHOCl 22 +↔++ −−+

OHHSeHSO 22

4 489 +↔++ −−+−

Constants

Reference reaction

Where {e-}=1, if all chemical species activities are also unity

David Reckhow CEE 680 #47 14

)(221 gHeH ↔+ −+

0.1}}{{

)}({ 5.02 == −+ eH

gHK

pE bounds for water I Oxygen and Hydrogen half cell reactions

David Reckhow CEE 680 #48 15

Stumm & Morgan, 1996; Fig. 8.2, pg. 437

εppHP

HeH

HeHeH

HK

H

g

g

g

22log

}log{5.0}log{}log{

}{}}{{

0.1}}{{

}{

2

)(2

5.0)(2

5.0)(2

−−=

=+

=

==

−+

−+

−+

pE bounds for water II

David Reckhow CEE 680 #48 16

Electron Balance for HOCl & HS-

Oxidation Reduction

e- Balance:

David Reckhow CEE 680 #48 17

4[O2(aq)] + 8[SO4-2] = 2[Cl-] + 2[H2(aq)]

HS-HOCl

OHCleHHOCl 22 +↔++ −−+

OHHSeHSO 22

4 489 +↔++ −−+−

H2O

OHeHO 22 244 ↔++ −+

2244 HeH ↔+ −+

HOCl and HS-

David Reckhow CEE 680 #48 18

Close-up of electron balance

David Reckhow CEE 680 #48 19

Nitrogen

David Reckhow CEE 680 #48 20

Nitrogen & Chlorine

David Reckhow CEE 680 #48 21

Redox Predominance for N

David Reckhow CEE 680 #48 22

To next lecture

David Reckhow CEE 680 #48 23

DAR