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US EPA Translators
using Default Partition Coefficients (DPC)

 v. 6/2/2010

Translator equation using Default Partition Coefficients =                   1                     
                                                                                  [1 + (Kpo * TSS (1+a) * 10-6)]
Kpo and a are constants that express the equilibrium relationship between dissolved and adsorbed forms of metals.
A default value of 10 mg/L of Total Suspended Solids (TSS) will be used.

Table A contains the Default Partition Coefficients for the equation.
Table B contains the calculated translators using the default partition coefficients for streams.

TABLE A. Default Partition Coefficients
  FRESH WATER STREAMS
Metal (1) Kpo a
Cu 1.04E+06 -0.7436
Zn 1.25E+06 -0.7038
Pb 2.80E+06 -0.8
Cr (III) (2) 3.36E+06 -.09304
Cd 4.00E+06 -1.1307
Ni 4.90E+05 -0.5719

(1)    Delos, C.G., et al. Technical Guidance for Performing Waste Load Allocations. Book II: Streams and Rivers. Chapter 3: Toxic Substances, For the U.S. EPA. (EPA-440/4-84-022)
(2)    Linear partition coefficients shall not apply to the Chromium VI numerical criterion. The approved analytical method for Chromium VI measures only the dissolved form. Therefore, permit limits for Chromium VI shall be expressed in the dissolved form.  See 40 CFR § 122.45(c)(3).

TABLE B. US EPA Translators
PARAMETER

US EPA Translators
Using stream Default Partition Coefficients
TSS = 10 mg/L

Cadmium 0.252
Chromium III 0.202
Chromium VI 1.000
Chromium, Total N/A
Copper 0.348
Lead 0.184
Nickel 0.432
Silver 1.000
Zinc 0.288

 

Example for Cadmium (streams)
Given:
TSS = 10 mg/L
Kpo = 4.00E + 06
a = -1.1307
Translator   =                        1                _          
                           [1 + (Kpo * TSS (1+a) * 10-6)]

                 =         ___          1                            
                    [1 + (4.00x106 * 101-1.1307) * 10-6)]

                 =       _     __       1                            
                                    [1+2.960465]

                 = 0.252

 

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