pKa concepts Ionization = the process in which ions are formed from neutral compounds; Dissociation = the separation of the ions of an electrovalent compound as a result of the action of a solvent (usually water) For a weak acid, which dissociates as follows: HA ↔ H+ + A- An interesting and extremely useful relationship between pH and pKa can be obtained simply by taking logarithms (to the base 10) of the previous equation: log10Ka = log10[H+] + log10[A- ] - log10[HA] Therefore -log10[H+] = -log10Ka + log10[A-] - log10[HA] Note: log a – log b = log (a/b) giving the Henderson-Hasselbalch equation: The most convenient form of this Henderson-Hasselbalch equation, is Using pKa and pH relationship • By using pKa values, we are able to express the strength of an acid (i.e. its tendency to dissociate) with reference to the pH scale. • If Ka is large, then pKa will have a low numerical value. E.g., Hydrochloric acid, HCl has a pKa = -3 Acetic acid, CH3COOH has a pKa = 4.77 • A strong acid is one which is largely, or completely, dissociated, and which therefore has a high Ka value (and low pKa). • A weak acid is one that is only slightly dissociated in solution, and has a low Ka value. if we consider the situation where the acid is one-half (50%) dissociated, or where [A-] = [HA] (that is 50% negatively charged and 50% uncharged) then, substituting in the Henderson-Hasselbalch Equation pH = pKa + log(A-/HA) pH = pKa + log(1) Therefore pH = pKa + 0 and pH = pKa How to use H-H equation • When pH = pKa, the charged and uncharged species have ~equal concentrations. • When pH > pKa, the ionized (charged) form is dominant, so there will be more negative sites, therefore, as pH increases, CEC increases • When pH < pKa, the un-ionized, uncharged form is dominant, so there will be fewer negative sites, thus, as pH decreases, CEC decreases (and AEC increases) Why care about pKa in soils? • CEC increases as pH increases Early studies showed soil CEC was constant from pH 2.5 – 5 At pH > 5 the CEC of soil increased, especially in soils containing organic matter or non 2:1 clays • Organic and inorganic components of soil have functional groups that dissociate at various pH’s, leaving them with a negative charge that can attract cations Acidity of various soil functional groups • Some inorganic surface functional groups are more likely to deprotonate or dissociate than others pKa of Al(OH2)+ = ~5, (Al-OH-Si)+0.5 = ~7, SiOH = ~9.5 2:1 silicate minerals have more Si-OH groups and contribute less to pH-dependent charge than 1:1 minerals and metal oxides • SOM contributes the most negative charge 85-90% of charge due to deprotonation of COOH and phenolic OH groups which have pKa’s of 4 – 6 and 9 - 11 http://www.biologie.uni-hamburg.de/b-online/ge16/10.gif Colloid Negative charge Positive charge % constant % variable Humus 200 0 10 90 Vermiculite 120 0 95 5 Smectite 100 0 95 5 Illite 40 0 80 20 Kaolinite 12 4 5 95 Fe & Al Oxides 5 5 0 100