Soil Solution.

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Presentation transcript:

Soil Solution

Calculating Activity Coefficients Debye-Hueckel Limiting Equation: log g = - 0.511 Z2 I1/2 for I < 0.01 Extended Debye-Hueckel Equation:   for I < 0.1 Davies Equation: for I < 0.5 B is a temperature dependent constant (0.33 @ 25 °C) a is an effective ion size parameter

Ions in Solution: Coordination by Water Molecules

Ions Pairs (Outer-sphere)

Ions Complex (Inner-sphere)

Reaction Driving Force

Hydrolysis Reactions Fe3+ • 6H2O Fe(OH)2+ • 5H2O

Hydrolysis Reactions Fe3+ + H2O <--> Fe(OH)2+ + H+ K = 10-2.19   Fe(OH)2+ + H2O <--> Fe(OH)2+ + H+ K = 10-3.5   Fe(OH)2+ + H2O <--> Fe(OH)3o + H+ K = 10-7.4   Fe(OH)3o + H2O <--> Fe(OH)4- + H+ K = 10-8.5

Hydrolysis Reactions: Anionic log K H3PO4o  H+ + H2PO4- -2.15  H2PO4-  H+ + HPO42- -7.20  HPO42-  H+ + PO43- -12.35

Complex Equilibria

Carbonate Species/Reactions H2O CO2 (g)  CO2(aq)   H2CO3  CO2(aq) + H2O H2CO3  H+ + HCO3- HCO3-  H+ + CO32-   CaCO3 (s)  Ca2+ + CO32-

CO2 Hydration H2O CO2 (g)  CO2(aq) CO2(aq) = KH PCO2   KH = Henry's Law Constant = 0.033 M (at 25 °C)

Dissociation Reactions Log K H2CO3  H+ + HCO3- -6.36 HCO3-  H+ + CO32- -10.33   CaCO3 (s)  Ca2+ + CO32- -8.35

Equilibrium Equations Log K H2CO3  H+ + HCO3- -6.36 HCO3-  H+ + CO32- -10.33 H2O  H+ + OH- -14 CaCO3 (s)  Ca2+ + CO32- -8.35 CO2(aq) = KH PCO2  

Mass and Charge Balance [C]T = [H2CO3*] + [HCO3-] + [CO32-] + [CaCO3] [H+] + 2[Ca2+] = [OH-] + [HCO3-] + 2[CO32-] charge

Species Distribution H2CO3 HCO3- CO32-

Simplifying Assumptions (!) 1. At pH < 9, [CO32-] << [HCO3-], [H2CO3*] 2. At PCO2 > 10-3.5 atm, [HCO3-] >> [OH-] [HCO3-], pH 7 = 1.44 mM mass [C]T = [H2CO3*] + [HCO3-] + [CaCO3] [H+] + 2[Ca2+] = [HCO3-] charge