WOLFRAM|DEMONSTRATIONS PROJECT

Acid-Base Titrations

​
acid type
monoprotic
diprotic
pK
1
0
pK
a1
2
pK
a2
7
titration progress
indicator
none
This Demonstration simulates the titration of an acid with a strong base, such as NaOH. As base in the pipette is added to the acid in the beaker, the
pH
of the solution is monitored by a
pH
meter or by use of an indicator. The strength of the acid is determined by the acid dissociation (or ionization) constant
K
a
=
[
-
A
][
+
H
]
[HA]
, more conveniently expressed as
pK
a
=-
log
10
K
a
. For a strong acid,
pK
a
≈0
(or negative). A number of weak acids, for example acetic acid, have
pK
a
in the neighborhood of 5. A diprotic acid, such as
H
2
SO
4
or
H
2
CO
3
, is characterized by two acid constants
pK
a
1
and
pK
a
2
that pertain to successive ionizations producing the two hydrogen ions. For simplicity, the initial concentrations of the acid and base are assumed to be equal. Thus a diprotic acid requires twice the volume of base for neutralization.
A neutral solution has [
+
H
]=1.0
-7
10
or
pH=-
log
10
[
+
H
]=7
. (Most of the hydrogen ions actually exist in aqueous solution as hydronium ions
H
3
+
O
). Around an equivalence point, where stoichiometric neutralization is approached, the
pH
versus volume curves increase steeply. The inflection point of the curve marks the precise location of the equivalence point. The progress of the titration automatically slows down in the Demonstration so that volume can be determined more accurately.
A weak acid exhibits a relatively flat
pH
curve to the left of the equivalence point. This provides the basis for buffer solutions, which maintain a nearly constant
pH
over a range of concentrations. This behavior can be approximated by the Henderson-Hasselbalch equation
pH=
pK
a
+
log
10
[base]
[acid]
. Thus a weak acid is most effective as a buffer around
pH≈
pK
a
.
Before electronic
pH
meters were developed, indicators were commonly used to follow the progress of neutralization. Each indicator undergoes a characteristic color change around a specific
pH
value. Five common acid-base indicators are available in the Demonstration.