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Print version CEE 697z Organic Compounds in Water and Wastewater PCBs and other HOCs: Volatilization & other processes Lecture #36 CEE 697z - Lecture #36 Volatilization: The two film theory Completely mixed p g Stagnant poor mass


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CEE 697z

Organic Compounds in Water and Wastewater

PCBs and other HOCs: Volatilization & other processes

CEE 697z - Lecture #36

Print version

Lecture #36

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SLIDE 2

Volatilization: The two film theory

CEE 697z - Lecture #36

Interface pi pg cl ci

Completely mixed Completely mixed Stagnant – poor mass transfer Stagnant – poor mass transfer

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Two film model

 Flux from the bulk liquid to the interface  Flux from the interface to the bulk gas

 And the K’s are related to the molecular diffusion

coefficients by:

CEE 697z - Lecture #36

J K c c

l l i l

= − ( )

J K RT p p

g g a g i

= − ( )

Mass transfer velocities (m/d)

K D z

l l l

=

K D z

g g g

=

a

RT P V n =

Universal Gas Law

Molar concentration

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SLIDE 4

Two film theory (cont.)

 We want to be able to relate flux to bulk air and

water concentrations

 interface concentrations cannot be directly measured

 to do this we must substitute expressions for the

interface concentrations

CEE 697z - Lecture #36

        − =

l e g v

c H p v J

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SLIDE 5

Air/Water Equilibrium

 Henry’s Law

 or

CEE 697z - Lecture #36

𝐼𝑓 ≡ 𝐿𝐼 = 𝑞𝑗 𝑦𝑗 𝐼𝑓 ≡ 𝐿𝐼 = 𝑞𝑗 𝑑𝑗

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Whitman’s 2 film model (cont.)

 According to Henry’s law:  And relating this back to the bulk concentration  now solving and equating the fluxes, we get (pg. 371 in

text):

CEE 697z - Lecture #36

p H c

i e i

=

p H J K c

i e l l l

= +      

1 1 v K RT H K

v l a e g

= +

The net transfer velocity across the air-water interface (m/d) sometimes represented as Kol

J K c c

l l i l

= − ( )

l l l i

c K J c + =

Recall: So:

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SLIDE 7

CEE 697z - Lecture #36

Figure 20.4, page 373 in text. (atm m3 gmol-1) correction

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Two Film Volatilization Model

 Jeremiason’s equation

 Same as Chapra’s

 Where:

CEE 697z - Lecture #36

k v H f

v v d

=

1 1

k K h f

vol

  • l

w

=

w a

  • l

k H k RT K 1 1 + =

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SLIDE 9

Estimating 2-film parameters

 The gas film coefficient  The liquid film coefficient

CEE 697z - Lecture #36

k u

a H O ,

. .

2

0 2 0 3

10

= +

k k D D

a PCB a H O PCB air H O air , , , , .

=        

2 2

0 61

k k Sc Sc

w PCB w CO PCB CO , , .

=        

2 2

0 5

k u

w CO , .

.

2

0 45 10

1 64

=

Schmidt Number

Kinetic viscosity: molecular diffusivity

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SLIDE 10

 Chapra, pg. 730

CEE 697z - Lecture #36

Effect of Uw and He

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 The gas-stripping device:

 a 122- cm by 15.2-cm diameter

glass reactor, a 5-mm glass impactor, a 5-μm pore-size air stone, and a 500-ml glass gas washing bottle.

CEE 697z - Lecture #36

 Procedure:

 The apparatus was filled to a depth of 83 cm with 10 L of

deionized water.

 Between 130 ml/min to 200 ml/min of compressed air was

passed through a hydrocarbon trap to remove possible contaminants and through a gas washing bottle to saturate the air with water vapor prior to entering the reactor through the air stone mounted at the bottom of the water column.

Determination of He

Bamford, H.A., Poster, D.L. and Baker, J.E. (1999) T emperature dependence of Henry's law constants of thirteen polycyclic aromatic hydrocarbons between 4 degrees C and 31 degrees C. Environmental T

  • xicology and Chemistry

18(9), 1905-1912.

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SLIDE 12

CEE 697z - Lecture #36

 Procedure (cont.):

 Air exiting the reactor passed

through the impactor to remove aerosols created by breaking bubbles, then through a cylindrical polyurethane foam plug (PUF) housed in a glass column to capture vapor-phase compounds.

 The efficiency and application of PUF to absorb hydrophobic organic

contaminants (HOCs) have been evaluated in several studies  Water samples (50 ml) were drawn through a Teflon stopcock

located at the base of the reactor.

 During each experiment, simultaneous air and water samples

were collected every 24 to 48 h for 6 to 12 d.

  • Det. of He (cont.)

Bamford, H.A., Poster, D.L. and Baker, J.E. (1999) T emperature dependence of Henry's law constants of thirteen polycyclic aromatic hydrocarbons between 4 degrees C and 31 degrees C. Environmental T

  • xicology and Chemistry

18(9), 1905-1912.

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  • Det. of He (cont.) with QC

 The entire system was located in a controlled

environment room, where the lights remained off during each experiment to minimize any loss of compounds to photodegradation.

 Compound mass balances were determined to insure

analytes were not lost to degradation or to leaks in the system

 Mass recoveries for the compounds ranged between 85% and

112% of the initial mass added.

CEE 697z - Lecture #36

Bamford, H.A., Poster, D.L. and Baker, J.E. (1999) T emperature dependence of Henry's law constants of thirteen polycyclic aromatic hydrocarbons between 4 degrees C and 31 degrees C. Environmental T

  • xicology and Chemistry

18(9), 1905-1912.

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  • Det. of He - Chemical Analysis

 Extraction: The PUF samples were Soxhlet extracted for 24 h with ∼150

ml of chromatographic grade petroleum ether. Extracts were reduced to <3 ml by rotary evaporation, switched to hexane, and further concentrated under a gentle stream of clean N2 to a final volume of ∼1 ml. Each water sample was solvent extracted three times with 10 ml of hexane in a separatory funnel, and combined extracts were dried with Na2SO4 and reduced by rotary evaporation to ∼1 ml in hexane. The concentrated samples were transferred to amber autosampler vials and sealed with T eflon caps and stored in the dark at 4°C until analysis.

 Analysis: All compounds were analyzed by GC/MS (HP 5890 GC and HP

5972 Mass Selective Detector) operated in selective ion monitoring (SIM)

  • mode. The column was 30 m in length, 0.25 mm i.d. with a cross linked 5%

phenyl-methyl silicone film thickness of 0.25 μm.

 Identification of individual compounds was based on the retention times of the

parent ion of each compound relative to the retention time of a calibration

  • standard. Internal standards, consisting of deuterated compounds were added to

the calibration standard and each sample prior to GC/MS analysis. Internal standards were used to calculate relative response factors for each analyte by comparing a known mass of analyte in the calibration standard to the known mass of a particular internal standard.

CEE 697z - Lecture #36

Bamford, H.A., Poster, D.L. and Baker, J.E. (1999) T emperature dependence of Henry's law constants of thirteen polycyclic aromatic hydrocarbons between 4 degrees C and 31 degrees C. Environmental T

  • xicology and Chemistry

18(9), 1905-1912.

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SLIDE 15
  • Det. of He - Results

 sss

CEE 697z - Lecture #36

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Volatilization vs overall loss rate

  • 0.7
  • 0.6
  • 0.5
  • 0.4
  • 0.3
  • 0.2
  • 0.1

4.5 5 5.5 6 6.5 7 7.5 Log Kow k (/yr) k (yr-1) kvol (yr-1) k-regr. kvol-regr.

CEE 697z - Lecture #36

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SLIDE 17

Hughes, A.S., Vanbriesen, J.M. and Small, M.J. (2009) Identification of Structural Properties Associated with Polychlorinated Biphenyl Dechlorination Processes. Environmental Science & T echnology 44(8), 2842-2848.

Explicitly reported pathways (dashed lines) and pathways added to dechlorination process M through the classification tree analysis (solid lines). Note that the numbers are arranged by homologue and correspond to congener structures assigned in the original work of Ballschmiter and Zell (47) with corrections to congener numbers 199−201 by Schulte and Malisch (48) and corrections to numbers 107−109 by Guitart et al. (49) (0 represents biphenyl). CEE 697z - Lecture #36

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SLIDE 18

PCB Mass Balance in Lake Superior, 1986

CEE 697z - Lecture #36

Rivers ~110 kg/yr

Atmosphere ~200 kg Atmospheric Deposition Wet 125 kg/yr Dry 32 kg/yr Net Volatilization ~1900 kg/yr

Outflow ~60 kg/yr

Sediment ~4900 kg Particle Settling ~3000 kg/yr Recycling ~2890 kg/yr Water Column ~10,100 kg Burial ~110 kg/yr Other discharges ~40 kg/yr

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PCBs in the Lake Superior

 Reference: “PCBs in Lake Superior, 1978-1992: Decrease in Water

Concentrations Reflect Loss by Volatilization,” by Jeremiason, Hornbuckle and Eisenreich, Environmental Science and T echnology, 28:903 (1994)

CEE 697z - Lecture #36

  • St. Mary’s

River

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Full 1, 2 or 3-d mechanistic model

 Combine with advective flow

CEE 697z - Lecture #36

Water (1) Mixed Sediments (2) Deep Sediments (3) Burial (vb) Settling (vs) Resuspension (vr) Diffusion (vd)

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Summary of sorption & volatilization effects

CEE 697z - Lecture #36

 Assume

 T

a=283 K

 M=200 g/mole  Uw = 5 mph  vs =91 m/yr

 Assimilation refers to general rate of removal

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Summary: pesticides

 Chapra,

pg.735

CEE 697z - Lecture #36

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Summary: PCBs

 Chapra,

pg.736

CEE 697z - Lecture #36

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Summary: PAHs

 Chapra,

pg.736

CEE 697z - Lecture #36

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The environmental fate and transport of PCBs is largely governed by their physical-chemical characteristics, properties which vary considerable across the spectrum of species included in this family of chemicals. Chief among these properties are the octanol-water partition coefficient, a measure of the potential to associate with particles, and the Henry’s Law constant, a reflection of the partitioning of the chemical between air and water. In general, high MW PCBs are strongly associated with particles and low MW PCBs are more strongly partitioned to the atmosphere. As a result, fish consumption advisories are common in Michigan and other states.

Conclusions on PCB fate

CEE 697z - Lecture #36

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Prediction of partition coefficients for complex environmental contaminants: Validation of COSMOtherm, ABSOLV, and SPARC

Stenzel, A., Goss, K.U. and Endo, S. (2014) Prediction of Partition Coefficients for Complex Environmental Contaminants: Validation of COSMOTHERM, ABSOLV, and SPARC. Environmental T

  • xicology and Chemistry 33(7), 1537-1543.

CEE 697z - Lecture #36

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Prediction of partition coefficients for complex environmental contaminants: Validation of COSMOtherm, ABSOLV, and SPARC

Stenzel, A., Goss, K.U. and Endo, S. (2014) Prediction of Partition Coefficients for Complex Environmental Contaminants: Validation of COSMOTHERM, ABSOLV, and SPARC. Environmental T

  • xicology and Chemistry 33(7), 1537-1543.

CEE 697z - Lecture #36

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SLIDE 28

Prediction of partition coefficients for complex environmental contaminants: Validation of COSMOtherm, ABSOLV, and SPARC

Stenzel, A., Goss, K.U. and Endo, S. (2014) Prediction of Partition Coefficients for Complex Environmental Contaminants: Validation of COSMOTHERM, ABSOLV, and SPARC. Environmental T

  • xicology and Chemistry 33(7), 1537-1543.

CEE 697z - Lecture #36

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(a) Plot of log Kow versus log Kf for all

  • data. The plotted log Kf values are the

average of all published data for compounds listed in Table SI-1. Bars indicate the range in data. The black line is the linear regression between log Kf and log Kow for all of the data (logKf = 0.70logKow + 0.70; R2 = 0.65). The dashed circle illustrates the region with the highest range in log Kf values (log Kow ≥ 5.5). (b) Plot of log Kow versus log Kf for all passing data. The plotted log Kf values are the average of all passing published data for the compounds listed in Table SI-1. Bars indicate the range in data. The black line is the linear regression between log Kf and log Kow for all of the passing data (logKf = 0.83logKow + 0.07; R2 = 0.73). The dashed circle illustrates the region with the highest range in log Kf values (log Kow ≥ 5.5).

Difilippo, E.L. and Eganhouse, R.P . (2010) Assessment of PDMS-Water Partition Coefficients: Implications for Passive Environmental Sampling of Hydrophobic Organic Compounds. Environmental Science & T echnology 44(18), 6917-6925.

CEE 697z - Lecture #36

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CEE 697z - Lecture #36

 The End