eqn. 5.8
the dissociation constant is,
eqn. 5.9
It is simple to demonstrate that the alkalinity in most continental waters is dom-
inated by HCO 3 - by rearranging the above equations at a typical pH value for
these waters. For example, many mature rivers have pH values around 8.
Rearranging equation 5.9 to solve for aHCO 3 - gives,
eqn. 5.10
And substituting values for pH 8 (pH=-log10aH+, see Box 3.5) and K 2 (eqn. 5.9)
gives,
eqn. 5.11
This shows that at typical pH values for continental waters the HCO 3 - anion is
200 times more abundant than the CO 32 - anion. Repeating this exercise for a range
of pH values results in the graphical relationship shown in Fig. 5.5. Note that
when pH falls below 5 on Fig. 5.5, almost all of the weak acid anions (HCO 3 - and
CO 32 - ) have disappeared and at pH of 4 only undissociated acid (H 2 CO 3 ) remains.
This relationship is used as the basis for measuring alkalinity (Box 5.2).
The pH of natural waters is in fact controlledmainly by the relative concen-
trations of dissolved inorganic carbon (DIC) species, i.e. H 2 CO 3 , HCO 3 - and
a
aa
HCO a
CO CO
3 CO
8
3
2
10 3
8
3
2
11 3
(^102)
10
110
510
- 200
--
--
==¥ -
¥
=
..
.
a
aa
K
HCO
HCO
3
3
2
2
+-
=
.
K
aa
(^2) a
3
2
3
== 10 10 3
+-
HCO -
HCO
..
HCO 3 - ()aqªH()+aq+CO^23 - ()aq
152 Chapter Five
Percentage of TDIC species
4 5 6 7 8 9 10 11 12
pH
0
10
20
30
40
50
60
70
80
90
100
H 2 CO 3
HCO 3 –
CO 3 2–
Fig. 5.5Relationship between the total dissolved inorganic carbon species (TDIC; i.e. H 2 CO 3
+HCO 3 - +CO 32 - ) and pH. Most natural waters have pH between 7 and 9 where the HCO 3 -
anion is abundant (>80% of the TDIC). In highly alkaline waters (pH>10.3) the CO 32 - anion
becomes dominant, while in acidic waters (pH<6.4) the undissociated acid (H 2 CO 3 ) is the
dominant TDIC species.