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Acid-Base Geochemistry. Arrhenius’ definition: Acid any compound that releases a H + when dissolved in water Base any compound that releases an OH - when dissolved in water Bronstead-Lowry’s definition: Acid donates a proton Base receive/accept a proton Lewis’ definition:
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Acid-Base Geochemistry • Arrhenius’ definition: • Acid any compound that releases a H+ when dissolved in water • Base any compound that releases an OH- when dissolved in water • Bronstead-Lowry’s definition: • Acid donates a proton • Base receive/accept a proton • Lewis’ definition: • Acid electron pair donor acceptor • Base electron pair donor
Conjugate Acid-Base pairs • Generalized acid-base reaction: HA + B A + HB • A is the conjugate base of HA, and HB is the conjugate acid of B. • More simply, HA A- + H+ HA is the conjugate acid, A- is the conjugate base • H2CO3 HCO3- + H+
Hydrolysis • Mz + H2O M(OH)z-1 + H+ • Reaction of a cation, which generates a H+ from water is a hydrolysis reaction • Described by the equilibrium constant Ka • Hydrolysis also describes an organic reaction in which the molecule is cleaved by reaction with water…
AMPHOTERIC SUBSTANCE • Now consider the acid-base reaction: NH3 + H2O NH4+ + OH- In this case, water acts as an acid, with OH- its conjugate base. Substances that can act as either acids or bases are called amphoteric. • Bicarbonate (HCO3-) is also an amphoteric substance: Acid: HCO3- + H2O H3O+ + CO32- Base: HCO3- + H3O+ H2O + H2CO30
Strong Acids/ Bases • Strong Acids more readily release H+ into water, they more fully dissociate • H2SO4 2 H+ + SO42- • Strong Bases more readily release OH- into water, they more fully dissociate • NaOH Na+ + OH- Strength DOES NOT EQUAL Concentration!
Acid-base Dissociation • For any acid, describe it’s reaction in water: • HxA + H2O x H+ + A- + H2O • Describe this as an equilibrium expression, K (often denotes KA or KB for acids or bases…) • Strength of an acid or base is then related to the dissociation constant Big K, strong acid/base! • pK = -log K as before, lower pK=stronger acid/base!
Geochemical Relevance? • LOTS of reactions are acid-base rxns in the environment!! • HUGE effect on solubility due to this, most other processes
Dissociation of H2O • H2O H+ + OH- • Keq = [H+][OH-] • log Keq = -14 = log Kw • pH = - log [H+] • pOH = - log [OH-] • pK = pOH + pH = 14 • If pH =3, pOH = 11 [H+]=10-3, [OH-]=10-11 Definition of pH
pH • Commonly represented as a range between 0 and 14, and most natural waters are between pH 4 and 9 • Remember that pH = - log [H+] • Can pH be negative? • Of course! pH -3 [H+]=103 = 1000 molal? • But what’s gH+?? Turns out to be quite small 0.002 or so…
pKx? • Why were there more than one pK for those acids and bases?? • H3PO4 H+ + H2PO4- pK1 • H2PO4- H+ + HPO42- pK2 • HPO41- H+ + PO43- pK3
BUFFERING • When the pH is held ‘steady’ because of the presence of a conjugate acid/base pair, the system is said to be buffered • In the environment, we must think about more than just one conjugate acid/base pairings in solution • Many different acid/base pairs in solution, minerals, gases, can act as buffers…
Henderson-Hasselbach Equation: • When acid or base added to buffered system with a pH near pK (remember that when pH=pK HA and A- are equal), the pH will not change much • When the pH is further from the pK, additions of acid or base will change the pH a lot
Buffering example • Let’s convince ourselves of what buffering can do… • Take a base-generating reaction: • Albite + 2 H2O = 4 OH- + Na+ + Al3+ + 3 SiO2(aq) • What happens to the pH of a solution containing 100 mM HCO3- which starts at pH 5?? • pK1 for H2CO3 = 6.35
Think of albite dissolution as titrating OH- into solution – dissolve 0.05 mol albite = 0.2 mol OH- • 0.2 mol OH- pOH = 0.7, pH = 13.3 ?? • What about the buffer?? • Write the pH changes via the Henderson-Hasselbach equation • 0.1 mol H2CO3(aq), as the pH increases, some of this starts turning into HCO3- • After 12.5 mmoles albite react (50 mmoles OH-): • pH=6.35+log (HCO3-/H2CO3) = 6.35+log(50/50) • After 20 mmoles albite react (80 mmoles OH-): • pH=6.35+log(80/20) = 6.35 + 0.6 = 6.95
Bjerrum Plots • 2 D plots of species activity (y axis) and pH (x axis) • Useful to look at how conjugate acid-base pairs for many different species behave as pH changes • At pH=pK the activity of the conjugate acid and base are equal
Bjerrum plot showing the activities of reduced sulfur species as a function of pH for a value of total reduced sulfur of 10-3 mol L-1.
Bjerrum plot showing the activities of inorganic carbon species as a function of pH for a value of total inorganic carbon of 10-3 mol L-1. In most natural waters, bicarbonate is the dominant carbonate species!