Calcite Saturation
Calcite saturation = Lime - carbonic acid equilibrium
Lime - carbonic acid equilibrium
If
the
lime-carbonic
acid
equilibrium
prevails
in
a
water,
then
all
reactions
involved
are
in
reaction equilibrium.
Detailed diagrams on this can be found in the
textbook
.
Lime is neither dissolved nor does it precipitate.
Dissolution and precipitation of lime
Calcite
dissolves
physically
in
water
up
to
the
solubility
limit,
which
is
characterized
by
the
solubility
product
L.
The
solubility
product
is
defined
by
the
acivities
of
the
substances a().
If
a(Ca
2+
)∙a(CO
3
2-
) > L
then the water is lime separating
If
a(Ca
2+
)∙a(CO
3
2-
) = L
then the water is in equilibrium
(calcite saturation)
If
a(Ca
2+
)∙a(CO
3
2-
) < L
then the water is lime dissolving
The solubility product for calcite at 10°C is :
L = 3.92∙10
-9
(mol/L)
2
.
Calcite is poorly soluble.
The
purely
physical
solution
of
calcite
in
water
always
leads
only
to
calcite
saturation.
The solubility product can thus not be exceeded.
Calcite
precipitation
always
occurs
when
the
solubility
product
of
calcite
is
exceeded,
for example:
>
A
water
saturated
with
calcite
is
heated.
The
solubility
(L)
of
calcite
decreases
with
increasing temperature, so that the solubility is then exceeded. (e.g. scale formation).
>
CO
2
escapes
from
a
calcite
saturated
water
to
the
air.
This
increases
the
pH
value
of
the
water,
so
that
the
proportion
of
carbonate
in
the
water
increases.
The
solubility
product is thus exceeded and lime can precipitate.
(e.g. formation of swelling lime).
>
In
water
saturated
with
calcite,
the
pH
of
the
water
increases
due
to
other
processes,
e.g.
photosynthesis,
so
that
the
proportion
of
carbonate
in
the
water
increases.
The
solubility product is thus exceeded and lime can precipitate.
(e.g. formation of sea chalk).
All three processes can reinforce each other.
Characterization variables for the behavior of carbonic acid against lime
- Delta pH value
ΔpH
ΔpH = pH - pH
C
The delta pH is the difference between the current pH of the water and the pH of
calcite saturation, adjusted with calcite.
The delta-pH value can be measured.
ΔpH
< 0 (-)
the water is lime dissolving
ΔpH
> 0 (+)
the water is lime separating
ΔpH
= 0
the water is in equilibrium
(calcite saturation)
- pH of calcite saturation
pH
C
pH
C
is the pH value of water at calcite saturation (lime-carbonic acid equilibrium),
adjusted with calcite.
- Saturation index SI
The
saturation
index
is
a
purely
calculated
value
(cannot
be
determined
by
measurement).
Like
the
delta
pH
value,
it
indicates
the
deviation
from
calcite
saturation.
The
signs
are
analogous
to
the
delta
pH
value,
the
numerical
values
differ.
- Calcite dissolving capacity
D(+)
The
lime
dissolving
capacity
indicates
how
much
lime
can
be
dissolved
in
a
lime
dissolving
water.
The
sign
for
lime
dissolving
water
is
(+),
in
contrast
to
the
delta
pH
value and saturation index.
- Calcite separation capacity D(-)
The
calcite
separation
capacity
indicates
how
much
lime
can
be
removed
from
a
lime
separating
water.
The
sign
for
lime
separating
water
is
(-),
in
contrast
to
the
delta pH value and saturation index.
Causes of lime precipitation in the water cycle
When the solubility product of lime (calcite) is exceeded in water, calcite precipitation
(lime precipitation) occurs.
This can be caused in nature by
- escape of CO
2
into the air
- Photosynthesis (CO
2
withdrawal)
- Temperature increase: The solubility of lime decreases with increasing temperature!
- Increase of the pH value