Theoretical treatment of alkalinityIn typical groundwater or seawater the measured alkalinity is set equal to: AT = [HCO3−T + 2[CO3−2T + [B(OH)4−T + [OH−T + 2[PO4−3T + [HPO4−2T + [SiO(OH)3−T − [H+sws − [HSO4− (Subscript T indicates the total concentration of the species in the solution as measured. This is opposed to the free concentration, which takes into account the significant amount of ion pair interactions that occur in seawater.) Alkalinity can be measured by titrating a sample with a strong acid until all the buffering capacity of the aforementioned ions above the pH of bicarbonate or carbonate is consumed. This point is functionally set to pH 4.5. At this point, all the bases of interest have been protonated to the zero level species, hence they no longer cause alkalinity. For example, the following reactions take place during the addition of acid to a typical seawater solution:
It can be seen from the above protonation reactions that most bases consume one proton (H+) to become a neutral species, thus increasing alkalinity by one per equivalent. CO3−2 however, will consume two protons before becoming a zero level species (CO2), thus it increases alkalinity by two per mole of CO3−2. [H+ and [HSO4− decrease alkalintiy, as they act as sources of protons. They are often represented collectively as [H+T. Alkalinity is typically reported as mg/L as CaCO3. This can be converted into milliEquivalents per Liter (mEq/L) by dividing by 50 (the approximate MW of CaCO3/2). Example problemsSum of contributing speciesThe following equations demonstrate the relative contributions of each component to the alkalinity of a typical seawater sample. Contributions are in μmol/kg-H2O and are obtained from A Handbook of Methods for the analysis of carbon dioxide parameters in seawater "[1],"(Salinity = 35, pH = 8.1, Temperature = 25°C). AT = [HCO3−T + 2[CO3−2T + [B(OH)4−T + [OH−T + 3[PO4−3T + [HPO4−2T + [SiO(OH)3−T − [H+ − [HSO4− − [HF] Phosphates and silicate, being nutrients, are typically negligible. At pH = 8.1 [HSO4− and [HF] are also negligible. So, AT = [HCO3-T + 2[CO3−2T + [B(OH)4−T + [OH−T − [H+ AT = 1830 + 2*270 + 100 + 10 − 0.01 AT = 2480 μmol/kg−H2O Addition of CO2The addition (or removal) of CO2 to a solution does not change the alkalinity. This is because the net reaction produces the same number of equivalents of positively contributing species (H+) as negative contributing species (HCO3- and/or CO3--). At neutral pH's: CO2 + H2O → HCO3− + H+ At high pH's: CO2 + H2O → CO3−2 + 2H+ Dissolution of carbonate rockAddition of CO2 to a solution in contact with a solid can affect the alkalinity, especially for carbonate minerals in contact with groundwater or seawater . The dissolution (or precipitation) of carbonate rock has a strong influence on the alkalinity. This is because carbonate rock is composed of CaCO3 and its dissociation will add Ca+2 and CO3−2 into solution. Ca+2 will not influence alkalinity, but CO3−2 will increase alkalinity by 2 units. See also
Carbonate system calculatorsThe following packages calculate the state of the carbonate system in seawater (including pH):
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