# Re: Estimating Eh from DO

```
I am more than a little dubious that this is worth doing, but

pe = -logK + log10[O2] - 4pH

log10[O2] ~= log10(c(O2)/32/1000), where c(O2) is concentration in mg/L.

logK = 38.0229 + 7.99407e-3*T - 2.7655e+4/T -1.4506e1*log(T) +
199838.45/T^2, where T is in K.

Eh = pe * log(10) * R * T / F, where Eh is in volts, log(10) ~ 2.303
(natural log), R is  .00831470 kJ/deg-mol, F is 96.4935 kJ/volt-eq, and T
in K.

For c(O2) = 3.2 mg/L, pH = 7.3, T = 5 C: Eh = .812 V; pe = 14.71.

For c(O2) = 3.2 mg/L, pH = 7.3, T = 50 C: Eh = 0.7415; pe = 11.565.

David

David Parkhurst (dlpark@xxxxxxxx)
U.S. Geological Survey
Box 25046, MS 413
Denver Federal Center
Denver, CO 80225

Project web page: http://wwwbrr.cr.usgs.gov/projects/GWC_coupled

"Doug Craft"
<dcraft@xxxxxxxxx        To:       <dlpark@xxxxxxxx>
ov>                      cc:
Subject:  Re: Estimating Eh from DO
07/15/03 11:12 AM

Thanks David-

I appreciate the quick response!  You ROCK, man!

What I need is a formula I could plug into Excel - Running PHREEQC is
not an option as I have over 10,000 values to calculate.

As to the interpretative value of Eh - I hear you - and am aware of
mixed potentials on the Pt surface (as Stumm and Morgan, Williard
Lindsay, and Langmuir have discussed) - but I am working with biologists
who think redox should be reported.

The data are from a tidal zone, too, so there's tons of variability in
the data.  I tried an empirical approach but the regression has way too
much scatter.

Sorry to be a bother.

Doug

>>> "David L Parkhurst" <dlpark@xxxxxxxx> 07/15/03 09:48 AM >>>

One way is to run PHREEQC inputting dissolved oxygen as O(0) in PHREEQC
notation. A pe and Eh will be calculated and printed under a heading
"Redox
Couples" in the output.

But I have to add that the DO is a more useful quantity than the Eh,
which
is hard to measure and difficult to interpret. If you have DO, you are
automatically close to the upper stability field for water on a Eh-pH
diagram.

David

SOLUTION 1
-temp 15
-units      mg/L
pH    7.3
O(0)  3.4
END

David Parkhurst (dlpark@xxxxxxxx)
U.S. Geological Survey
Box 25046, MS 413
Denver Federal Center
Denver, CO 80225

Project web page: http://wwwbrr.cr.usgs.gov/projects/GWC_coupled

"Doug Craft"

<DCRAFT@xxxxxxxxx        To:
<dlpark@xxxxxxxx>
ov>                      cc:

Subject:  Estimating Eh
from DO
07/14/03 02:54 PM

Hi Dave-

Sorry to bother you, I know you are busy...

I have been searching for a straightforward calculation to estimate Eh
from
DO in oxgenated surface waters - I stumbled across your Phreeqe IAQ but
did
not find the specific question answered.  I have field measured T, pH,
but
had the redox electrode go whack on me.

Do you have a simple formula or can you provide me a reference where it
can
be obtained?

Doug

Doug Craft
Fisheries Applications Research Group
USDI - Bureau of Reclamation
PO Box 25007, D-8290
Denver CO 80225-0007
dcraft@xxxxxxxxxxx
office: 303-445-2182  office cell: 303-870-5625
office fax: 303-445-6328
home: bigdoug@xxxxxxxxx  303-458-8946

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