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Potential-pH Diagrams
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TUTORIAL ON THERMEXPERTTM Potential-pH (Pourbaix or EMF-pH) Diagram Generator
David C. Silverman
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Table of Contents
Case Study-Complexing Agents-Iron/iminodiacetic acid
Organic compounds that may have a profound effect on corrosion are those that can
react with metals to create metal-organic compound adducts. Corrosion inhibitors
and corrosion accelerators are examples. Thermodynamic calculations offer a way
to determine if the metal-organic compound adduct is the lowest free energy state
as a function of pH and potential. Kinetic experiments are required to determine
if the adduct is formed and how its formation affects corrosion, i.e. as a corrosion
inhibitor or a corrosion accelerator.
An internally consistent thermodynamic data base has to be available before the
potential-pH diagram can be calculated and applied to prediction of the effects
of such adducts. One procedure that might be used for the development of data
such as these has four main steps as shown in this figure
This procedure was
described in D. C. Silverman, "Incorporation of Organic Complexing Agents in
Electromotive Force Diagrams", Corrosion, Vol. 44, No. 9, p. 606 (1988)
1 (303k),.
This application involved the need to identify the cause of excessive corrosion of
carbon steel when exposed to a certain waste stream. Corrosion rates as high as
1 cm/year were measured in this waste stream in the
laboratory. In addition, when this stream was mixed with others, the corrosion
rate was found to increase substantially relative to its absence. The question was posed as to what
component might be causing this increased corrosion. Attention turned to
iminodiacetic acid as the culprit because is was one of only a few components unique to that stream and
it was known to form adducts with various metals.
The procedure used to interface the diagram with the real world was similar to that
described in more detail the section
Case Study - Titanium with chloride under acidic conditions.
As mentioned on other sections, the diagram is calculated from measured or estimated thermodynamic data and
drawn as a function of hydrogen ion activity and equilibrium potential.
The real world is usually represented by the measured pH and the corrosion potential.
The interfacing is done by placing the measured pH and steady-state corrosion
potential on the diagram. The assumptions are that the measured pH value
approximates the hydrogen ion activity and the measured steady state corrosion
potential approximates the thermodynamic driving force for corrosion product formation.
Thermodynamic properties typical for iron were presented in the section
Generation of a diagram - Iron in water.
Iminodiacetic acid (IDA) has four known ionic forms across the pH range of -2 to 16.
These forms are related by acid-base equilibria. The four forms are
written in shorthand as H3IDA+, H2IDA,
HIDA-, and IDA-2. Though all four forms would be expected to
occur across a wide pH range, each would likely be the predominant form when the pH lies between the pK
values for each of the acid-base reactions in which it is a member. To simplify
the calculation, that species is assumed to be the only one that interacts with
iron across that pH range. In other words, the species is assumed to change
abruptly at the pH at which pH=pK. For example, the pK of the acid-base reaction
between HIDA- and IDA-2 is 9.79 and the pK of the acid base
reaction between HIDA- and H2IDA
(dissolved and uncharged form) is 2.84 at 25oC. The species HIDA-
is assumed to be the predominant species across the pH range of 2.84 to 9.79
shifting to IDA-2 above a pH of 9.79 and to H2IDA below a pH of 2.84.
Though this assumption of an abrupt change at the boundary is a simplification,
it is reasonably justified by the fact that the concentrations of the other
species (H2IDA and IDA-2) decrease very rapidly as
the pH moves away from the pK values and into the region of predominance of HIDA-.
This table shows the pH range over which each species would be predominant.
| Species |
pH Range |
| H3IDA |
-2≤pH≤1.85 |
| H2IDA |
1.85≤pH≤2.84 |
| HIDA |
2.84≤pH≤9.79 |
| IDA |
9.79≤pH≤16 |
The above assumption means that four separate potential-pH diagrams
have to be generated for the IDA-iron interaction if the entire pH range of
-2 to 16 is to be covered. The form of IDA interacting with iron changes at each
boundary. In this particular case, the measured pH was about
8 so the only interaction that was required was that between HIDA- and iron.
The waste stream temperature was 50oC. The IDA concentration was about 0.04.
All iron-IDA adducts were assumed to be at activities of 10-5 and all other
iron-containing species were assumed to be at activities of 10-6.
The resulting Metal State Diagram is
and the resulting Solution State Diagram is
.
The corrosion potential was about -0.35V (SHE). The coordinate of pH and potential
(8,-0.35) falls in the region of stability of Fe(IDA)2-2. This result would suggest
that IDA is the culprit that accelerated corrosion of steel in contact with this
waste stream. The iron-IDA adduct region of stability has completely replaced the
Fe3O4 region of stability.
Note that the above analysis has also been used to examine the effect of
pH on the ability of aspartic acid to accelerate or inhibit corrosion of iron.
That study can be found in D. J. Kalota and D. C. Silverman, "Behavior of
Aspartic Acid as a Corrosion Inhibitor for Steel", Corrosion, Vol. 50,
No. 2, p. 138 (1994)1 (439k),.
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1 © NACE International publication and year shown in citation above. All rights reserved. Displayed with permission from NACE International, Houston, TX (http://www.nace.org). Published in Corrosion, in the month and year shown in the citation above.
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David C. Silverman, Ph.D. - Primary Consultant
E-Mail: dcsilverman@argentumsolutions.com
Phone: 314-576-3586
Fax: 314-754-9825
Address: The Argentum House
14314 Strawbridge Ct.
Chesterfield, MO 63017
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