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1 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA Physical and Chemical Kinetics in Humic Dispersions Martina Klučáková Miloslav Pekař Institute of Physical and Applied Chemistry Brno University of Technology Czech Republic
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2 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA Kinetics is nature‘s way of preventing everything from happening all at once ( S. E. LeBlanc)
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3 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA studied material lignitic humic acid raw material: South-Moravian lignite (Mikulčice) isolation: alkalic extraction (NaOH) CHNSOCOOH [wt. %][meq/g] 58.65.02.41.432.64.45
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4 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA studied systems solid humic acids (adsorption) humic acids in sols (chemical interaction) humic gels (diffusion & chemical reaction) interaction with metal ions (Cu 2+ )
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5 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA solid humic acids: adsorption equilibrium studies = adsorption isotherms adsorbed amount = f (equilibrium concentration) Langmuir model:
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6 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA solid humic acids: adsorption experimental data fitted by Langmuir model 0.72 2.44 10 -3 b [dm 3 /mol] a max [mol/g] 2.47 2.93 10 -3 b [dm 3 /mol] a max [mol/g]
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7 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA solid humic acids: adsorption experimental results: kinetics pH = 4.5
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8 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA solid humic acids: adsorption reaction rate inherent in Langmuir‘s description r = k ads c adsorbate c free sites – k des c occupied sites b = k ads / k des 1 – a t / a max a t / a max c metal ions adsorption rate desorption rate
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9 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA solid humic acids: adsorption x … c (Cu 2+ ) x 0 … initial c (Cu 2+ ) x eq … equilibrium c (Cu 2+ ) y 0 … initial c (binding sites) b = k ads / k des
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10 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA solid humic acids: adsorption experimental data fitting pH =4.5
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11 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA how to explain ? binding of Cu 2+ ions by carboxylic and phenolic groups liberation of H + ions summary (reversible) reaction: Cu 2+ + H 2 R CuR + 2H + low initial pH-value = backward reaction adsorption on „other“ binding site
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12 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA how to explain ? comparison of spectrometry and potentiometry UV/VIS potentiometry
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13 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA interaction in humic sol classic theory increase of acidity and conductivity as long as the studied system is not in equilibrium Cu 2+ + H 2 R CuR + 2H + Cu 2+ + 2HR CuR + 2H +
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14 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA interaction in humic sol experimental data minimum on pH curve temporal liberation followed by further consumption analogy to consecutive reactions complex mechanism
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15 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA how to explain ? Cu 2+ + HR CuR + + H + 2CuR + CuR 2 + Cu 2+ Cu 2+ + H 2 O Cu(OH) 2 + 2H + Cu 2+ ions hydrolysis „simple“ complex mechanism
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16 Humic Substances Seminar VII March 19-21, 2003 Northeastern University Boston, MA, USA interaction in humic sol comparison of classic and complex mechanism
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17 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA comparison solid-sol interaction rate: sol >> solid HA diffusion effect in heterogeneous system humic gel = model system for diffusion study: experimentally more tractable simple suppression of convective and thermal mixing close to water environment relation to real (natural) systems
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18 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA diffusion in humic gel one-dimensional diffusion T, p = const.; D D (c) Fick law total flux into gel concentration profile in gel
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19 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA diffusion from constant source initial and boundary conditions t = 0 x 0; L c 1 = 0 t 0 x = 0c 1 = c 1,s = const. t 0 x = L / 2 c 1 / x = 0 total flux: calculation of diffusion coefficient
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20 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA diffusion from constant source 1.43 10 -9 1.07 10 -9 D pub [m 2 /s] D num [m 2 /s] fitting of experimental data
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21 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA diffusion from time-variable source initial and boundary conditions concentration profile t = 0 x 0; L c 1 = 0 t = 0x Lc 2 = c 2,0 t 0 x = 0 D 1 c 1 / x = D 2 c 2 / x t 0 x = L / 2 c 2 / x = 0 t t x = 0 = c 1 / c 2
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22 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA diffusion from time-variable source experimental data
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23 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA diffusion with chemical reaction 1 st order reaction: A products initial and boundary conditions Fick law modification: t = 0 x 0; L c 1 = 0 t 0 x = 0c 1 = c 1,0 exp -kt t 0 x = L / 2 c 1 / x = 0
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24 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA diffusion with chemical reaction assumption of local equilibrium connecting with Fick law modified Fick law resultant equation
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25 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA diffusion with chemical reaction comparison theory & experimental data imobilization of Cu 2+ ions rate transport in gel lower, even under influence of reaction simple & effective model D pub (no reaction) D num (reaction Cu 2+ + HA)
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26 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA comparison of the three systems sol gel solid HA interaction rate sol > gel + solution >> diffusion in gel > solid HA binding capacity lowest in solid state
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27 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA conclusions complex interaction mechanism HA-metal in all systems non-ideal kinetics dynamic in diluted, mobile systems strongly diffusion-effected interaction with solid HA
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28 Humic Substances Seminar VII March 1 7 - 19, 200 4 Northeastern University Boston, MA, USA thank Grant Agency of Czech Republic for financial support (project No. 10402D036) You for your attention
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