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Transfer velocities for a suite of trace gases of  emerging biogeochemical importance:  Liss and Slater (1974) revisited  M. T. Johnson 1 , P. S. Liss 1 , T.G. Bell 1  and C.Hughes 1  and J. Woeltjen 1,2   1  Laboratory for Global Marine and Atmospheric Chemistry, School of Environmental Sciences, University of East Anglia, Norwich, NR4 7TJ, UK  2  Now at:  Helmholtz Centre for Environmental Research GmbH - UFZ, Permoser Strae 15, 04318 Leipzig, Germany. E-mail: martin.johnson@uea.ac.uk
Motivation ,[object Object]
Many for poorly studied gases (i,.e. Not GHGs, noble gases, O 2  or DMS) ,[object Object],[object Object],[object Object],[object Object]
Notwithstanding the need to choose the 'best' transfer velocity parameterisations; solubility and diffusivity of the gas, and viscosity of the medium must be quantified for the gas of interest
When is chemical enhancement potentially important?
[object Object]
Early estimates of k g  and k l  for H 2 O and O 2  and some trace gases of interest:  ,[object Object],[object Object]
[object Object]
T-dependence of K H  (- Δ soln H/R )
Molecular structure (in order to calculate liquid molar volume at boiling point, V b )
Wind speed, temperature, salinity Calculating temperature, wind-speed and salinity dependent transfer velocities ,[object Object]
Salinity dependence of K H  determined from novel relationship derived from empirical data on gas solubilities in seawater
Vb calculated using 'Schroeder' additive method
Diffusivities of gases in air and water and viscosities of air and water calculated from best available paramterisations
Transfer velocities: various parameterisations of k l  and k g  implemented. Nightingale et al 2000 (k l ) and Jeffrey et al 2010 (k g ) used here.
Key assumptions:  neutral bouyancy, all the assumptions made by the k l  and k g  parameterisations selected(!)
log(r g /r l )   for a suite of trace gases Log (r g /r l ) = 0 -> r g  = r l ->  50% contribution to total transfer from both phases Log (r g /r l ) = 1 -> r g /r l  = 10 ->  10% of total resistance due to liquid phase Log (r g /r l ) = -1 -> r g /r l  = 0.1 ->  10% contribution to resistance from gas phase Log (r g /r l ) = 2  ->  1% contribution to transfer from liquid phase Log (r g /r l ) = -3  ->  0.1% contribution to transfer from gas phase
K H  dependence of r g /r l For gases with solubility between 0.1 and 1000 mol/L/atm, both phases need to be considered in quantifying total transfer veloctiy
H2S CH3Cl C6H5CH3 CH3Br C2H5I CH3I HI CHCl3 CHI3 CH2CL2 DMS DES 2Butylnitrate Br2 2Propylnitrate CH2ICl BrCl DMDS 1Propylnitrate 1Butylnitrate HBr CH2Br2 SO2 Ethylnitrate CH2IBr CHBr3 Methylnitrate CH2I2 PPN I2 methylmethanoate PAN TEA methylethanoate TMA HCN propanal ethanal butanone HCl NHCl2 acetone OH DEA DMA nitromethane HNO2 MEA CH3CN NH3 2Nitrophenol HOBr NH2Cl MMA ICl MeOH EtOH IBr methylperoxide ethylperoxide IO HOI Phenol methanal HO2 K H  dependence of r g /r l
r g /r l  compared with Liss and Slater 1974
Chemical enhancement of k l  (and k g ?): Hoover and Berkshire 1969 α  =  τ / {(τ-1) + (tanh(x)/x)} where x = z(k hyd .τ/D) 1/2 z = layer thickness (inversely related to wind speed) D = molecular diffusivity of gas in medium k hyd  = rate of (hydration) reaction of gas in seawater τ = 1+ ([unreacted gas]/[reacted products]) Tanh(x)/x When k hyd  slow, x is small, tanh(x)/x=1,  α = 1 When k hyd  v fast, x is large, tanh(x)/x=0,   α max  =  τ / (τ-1) =  e.g.  1+ [XH 2 O] /[X] Hoover and Berkshire  assume stagnant film model, which probably  underestimates   potential chemical enhancement for reversible reactions Assumptions: 1. Stagnant film model applies 2. reaction can be represented by pseudo-first-order  rate constant – i.e. rate is proportional to concentration of gas of interest and independent of all other factors
Gases other than CO 2  and SO 2 , reactions other than hydration Reversible reactions i) undersaturation ii) supersaturation
Gases other than CO 2  and SO 2 , reactions other than hydration Irreversible reactions (e.g. photolysis) i) understaturation 2) supersaturation For an irreversible reaction that produces the gas of interest in the surface layer, a flux out would be enhanced and a flux in would be inhibited... The physics is the same in the gas phase, so the Hoover and Berkshire equation will apply there too...
Effect of chemical enhancement / inhibition on K for gases of different solubilities

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Transfer velocities for a suite of trace gases of emerging biogeochemical importance: Liss and Slater (1974) revisited

  • 1. Transfer velocities for a suite of trace gases of emerging biogeochemical importance: Liss and Slater (1974) revisited M. T. Johnson 1 , P. S. Liss 1 , T.G. Bell 1 and C.Hughes 1 and J. Woeltjen 1,2 1 Laboratory for Global Marine and Atmospheric Chemistry, School of Environmental Sciences, University of East Anglia, Norwich, NR4 7TJ, UK 2 Now at: Helmholtz Centre for Environmental Research GmbH - UFZ, Permoser Strae 15, 04318 Leipzig, Germany. E-mail: martin.johnson@uea.ac.uk
  • 2.
  • 3.
  • 4. Notwithstanding the need to choose the 'best' transfer velocity parameterisations; solubility and diffusivity of the gas, and viscosity of the medium must be quantified for the gas of interest
  • 5. When is chemical enhancement potentially important?
  • 6.
  • 7.
  • 8.
  • 9. T-dependence of K H (- Δ soln H/R )
  • 10. Molecular structure (in order to calculate liquid molar volume at boiling point, V b )
  • 11.
  • 12. Salinity dependence of K H determined from novel relationship derived from empirical data on gas solubilities in seawater
  • 13. Vb calculated using 'Schroeder' additive method
  • 14. Diffusivities of gases in air and water and viscosities of air and water calculated from best available paramterisations
  • 15. Transfer velocities: various parameterisations of k l and k g implemented. Nightingale et al 2000 (k l ) and Jeffrey et al 2010 (k g ) used here.
  • 16. Key assumptions: neutral bouyancy, all the assumptions made by the k l and k g parameterisations selected(!)
  • 17. log(r g /r l ) for a suite of trace gases Log (r g /r l ) = 0 -> r g = r l -> 50% contribution to total transfer from both phases Log (r g /r l ) = 1 -> r g /r l = 10 -> 10% of total resistance due to liquid phase Log (r g /r l ) = -1 -> r g /r l = 0.1 -> 10% contribution to resistance from gas phase Log (r g /r l ) = 2 -> 1% contribution to transfer from liquid phase Log (r g /r l ) = -3 -> 0.1% contribution to transfer from gas phase
  • 18. K H dependence of r g /r l For gases with solubility between 0.1 and 1000 mol/L/atm, both phases need to be considered in quantifying total transfer veloctiy
  • 19. H2S CH3Cl C6H5CH3 CH3Br C2H5I CH3I HI CHCl3 CHI3 CH2CL2 DMS DES 2Butylnitrate Br2 2Propylnitrate CH2ICl BrCl DMDS 1Propylnitrate 1Butylnitrate HBr CH2Br2 SO2 Ethylnitrate CH2IBr CHBr3 Methylnitrate CH2I2 PPN I2 methylmethanoate PAN TEA methylethanoate TMA HCN propanal ethanal butanone HCl NHCl2 acetone OH DEA DMA nitromethane HNO2 MEA CH3CN NH3 2Nitrophenol HOBr NH2Cl MMA ICl MeOH EtOH IBr methylperoxide ethylperoxide IO HOI Phenol methanal HO2 K H dependence of r g /r l
  • 20. r g /r l compared with Liss and Slater 1974
  • 21. Chemical enhancement of k l (and k g ?): Hoover and Berkshire 1969 α = τ / {(τ-1) + (tanh(x)/x)} where x = z(k hyd .τ/D) 1/2 z = layer thickness (inversely related to wind speed) D = molecular diffusivity of gas in medium k hyd = rate of (hydration) reaction of gas in seawater τ = 1+ ([unreacted gas]/[reacted products]) Tanh(x)/x When k hyd slow, x is small, tanh(x)/x=1, α = 1 When k hyd v fast, x is large, tanh(x)/x=0, α max = τ / (τ-1) = e.g. 1+ [XH 2 O] /[X] Hoover and Berkshire assume stagnant film model, which probably underestimates potential chemical enhancement for reversible reactions Assumptions: 1. Stagnant film model applies 2. reaction can be represented by pseudo-first-order rate constant – i.e. rate is proportional to concentration of gas of interest and independent of all other factors
  • 22. Gases other than CO 2 and SO 2 , reactions other than hydration Reversible reactions i) undersaturation ii) supersaturation
  • 23. Gases other than CO 2 and SO 2 , reactions other than hydration Irreversible reactions (e.g. photolysis) i) understaturation 2) supersaturation For an irreversible reaction that produces the gas of interest in the surface layer, a flux out would be enhanced and a flux in would be inhibited... The physics is the same in the gas phase, so the Hoover and Berkshire equation will apply there too...
  • 24. Effect of chemical enhancement / inhibition on K for gases of different solubilities
  • 25. Rate constants to give α = 2 in both gas and liquid phases (90 gases plotted)
  • 26. Rate constants required to give different α for a gas of 'average' diffusivity
  • 27. Selected reaction rates Compound Gas phase reaction Rate constant / s -1 Liquid phase reaction Rate constant / s -1 NH 3 Uptake on acid sulfate aerosol 10 -5 protonation >10 9 CH 2 I 2 photolysis 10 -4 photolysis 10 -3 SO 2 - - hydration 10 6 CH 4 Oxidation by OH <10 -6 Biological turnover 10 -3 * CO 2 - - Hydration 0.04 Methanal (formaldehyde) ? ? Hydration 10 * estimated from bulk seawater bacterial methane turnover of 1 day -1 scaled up by factor of 100 for possible microlayer bacterial activity
  • 28. NH 3 pH = 8
  • 29. NH 3 pH = 9
  • 30. SO 2
  • 31. CH 2 I 2
  • 32. CH 4
  • 33.  
  • 34. Scopus citations since Jan 2008 COARE papers: Fairall et al 2003 Hare et al 2004
  • 35. Total transfer velocity K H k g k l u 10 T S K H 0 - Δ soln H/R Sc g Sc l D g D l ν g ν l η g T η l T,S Sensitivity analysis ρ g T ρ l T,S V b C D k g k l Estimated parameter /% uncertainty Highly soluble gas e.g. NH 3 Sparingly soluble gas. e.g CO 2 25 25 10 25 5 5 10 10 25 10 10 10 10 0.1 25 10 16 -0.04 4 0.05 -0.05 -1 10 1 -1 9 20 2 1 2 -0.2 2 4 4 -6 20 0.1 -0.1 1 Sparingly soluble gas. e.g CO 2 Highly soluble gas e.g. NH 3 Estimated parameter /% uncertainty D l D g 25 25 0.1 3 11 0.3 Table presents percentage change in total transfer velocity over range of parameter uncertainty