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pK 1 o pH o pK 2 : log f H 2 CO 3 log f H þ log C log K 1
d log f H 2 CO 3 g= dpH ¼ 1
pH4pK 2 : log f H 2 CO 3 2log f H þ log C log K 1 K 2
d log f H 2 CO 3 g= dpH ¼ 2
The slopes for the other lines are obtained in the same way. Approx-
imating the charge balance expression (3.62) by {H 1 }
{HCO 3 } gives
the equilibrium pH for a closed aqueous system containing carbonic acid.
B
{H + } ~ {HC O - }
4
H 2 CO 3 *
6
H 2 CO 3
8
10
12
0
2
4
6
8
10
12
14
pH
Alkalinity. An important definition arising from the considerations of
carbonate equilibria is that of alkalinity, which is derived with reference
to the charge balance expression for carbonic acid.
{H 1 } ¼ {HCO 3 } þ 2{CO 2 3 } þ {OH } (3.62)
Alkalinity is described as the acid neutralizing capacity of an aqueous
system or equivalently as the amount of base possessed by the system.
Alkalinity ¼ {HCO 3 } þ 2{CO 2 3 } þ {OH } {H 1 }
(3.63)
Species other than carbonate can contribute to alkalinity and an
alternative definition is
Alkalinity ¼f HCO 3 2 f CO 2 3 gþf NH 3 gþf HS 2 f S 2 g
þf H 3 SiO 4 2 f H 2 SiO 2 4 gþf Org gþf HPO 2
g
4
þ 2 f PO 3 4 gþf OH gf H þ gf H 3 PO 4 g
ð 3 : 64 Þ
 
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