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Acid Dissociation
Constant
pKa
By
KAUSHAL KUMAR SAHU
Assistant Professor (Ad Hoc)
Department of Biotechnology
Govt. Digvijay Autonomous P. G. College
Raj-Nandgaon ( C. G. )
Synopsis
Introduction : Dissociation constant.
Dissociation of molecules in water.
Acid dissociation constant.
Theoretical background.
Conjugate acid & Conjugate base.
Handerson-Hasselbalch equation.
Factors affecting pKa values.
Experimental determination.
Application & Significance.
Conclusion.
References.
Introduction
Dissociation Constant:
A dissociation constant is a specific type of
equilibrium constant that measures the
tendency of larger objects to separate or
dissociate into smaller components. Example
– A complex fall apart into it’s constituent
molecules or when a salt splits up into it’s
component ions.
In some special cases of salt, the
dissociation constant is also known as
ionization constant.
Dissociation of molecules in
water
Water is the most
important component
for life on earth
because of it’s unique
physiochemical
properties.
It also has a unique
solvent property & thus
known as the ‘universal
solvent’.
It shows a dipole
structure & hence is
polar in nature. It has
the ability to form
hydrogen bond.
Substances that dissociate in water into cations &
anions are called electrolytes.
These ions facilitates conductance of electric
current.
Salts of alkali metals (e.g. LiCl, KCl, NaCl) & salts
of organic acids (e.g. sodium acetate) dissociate
completely.
Many acids, however, when dissolved in water, do
not dissociate totally but establish an equilibrium
between dissociated & undissociated components.
E.g. Acetic acid.
CH3COOH + H2O
CH3COO- + H3O+
Acetic acid
CH3COOH
H2
O
Acetate ion CH3COO-
H3O+
On molar basis, such compounds are termed as
‘weak electrolytes’, which dissociate partially &
have a lower capacity to carry an electric current.
On the other hand, ‘strong electrolytes’ are those
that dissociate completely.
Water is a weak electrolyte
Water dissociates as follows:
H2O H+ + OH –
In partial dissociation of weak electrolyte H2O,
the constant for above equilibrium equation can be
written as:
Keq = [H+] [OH -]
[H2O]
Where, Keq = physical constant or equilibrium
constant.
At 25 oC the value of Keq for water is very small.
Thus the concentration of water molecules is
almost constant.
Keq x [H2O] = [H+] [OH -]
It is also termed as ionic product of water
Kw is also known as autoprotolysis constant of
water.
At 0 oC Kw has a value 1.14 x 10- 15
& at 100 oC Kw has a value 5.45 x 10- 13
Many biomolecules of biological importance are
weak electrolytes. E.g. amino acids, peptides,
proteins, nucleosides, nucleotides & nucleic acids.
Their biochemical function depends upon their
state of ionization at the prevailing cellular or
extra-cellular pH.
E.g. The catalytic site of an enzyme suppose
contain functional group as carboxyl or amino
group. To enable the catalytic function of these
enzymes, the amino acid side chain in the protein
Acid dissociation constant
An acid dissociation constant Ka (also known as acidity
constant or acid ionization constant) is a quantitative
measure of strength of an acid in the solution. It is
the equilibrium constant for a chemical reaction known
as dissociation in the context of acid-base reaction.
The equilibrium can be written symbolically as below:
HA H+ + A –
Here, HA is a weak acid that dissociates into H+
cation & A – anion. Hence, the dissociation constant
may be written as:
Ka = [H+] [A –]
[HA]
A logarithmic measure of Ka is more common &
convenient term used in practice. pKa is the negative
log of Ka & is also referred to as acid dissociation
Theoretical background
The acid dissociation constant for an acid is a
direct consequence of thermodynamics of the
dissociation reaction taking place.
The pKa value is directly related to the standard
energy change in the reaction, thus it alters with
change in temperature.
When the reaction is endothermic, the pKa value
decreases with increasing temperature.
When the reaction is exothermic, the pKa value
increases with the decreasing temperature.
The larger is the value of pKa , the smaller is the
extent or degree of dissociation & vice versa.
Conjugate acid & Conjugate
base
Bronsted & Lowry defined acid & base on the basis
of proton exchange concept.
According to them, an acid is a proton donor & a
base is a proton acceptor.
Thus, a weak acid & it’s base i.e. the anion
formed after dissociation are referred to as
Conjugate pair.
It may be described by following equations & few
examples:
conjugate acid conjugate
base + H+
e.g. CH3- CHOH - COOH H+ + CH3-
CHOH - COO –
lactic acid
lactate ion
CH3- CO - COOH H+ + CH3-
Handerson-Hasselbalch
EquationIt defines the relationship between, pH, pKa &
concentration of Conjugate acid & Conjugate base.
conjugate acid conjugate base +
H+
At equilibrium,
Ka = [H+] [conjugate base]
[conjugate acid]
Rearranging above equation & taking log on both
the sides, we get,
log 1 = log 1 + log
[conjugate base]
[H+] Ka
[conjugate acid]
At half neutralization, when ratio of concentration
of [conjugate base] / [conjugate acid] is 1 : 1 ,
pH equals the pKa of acid as log 1 = 0.
Thus, the pH of the solution can be predicted
when pKa value & concentration of acid & base are
known & conversely it is possible to calculate the
equilibrium constant when pH of the solution is
known.
These calculations find application in many
different areas of chemistry, biology, medicine &
geology.
Dissociation constant is a
characteristic feature
The pKa values for different acids are definite &
constant.
Monoprotic acid: Acid that can lose only one
proton.
e.g. Acetic acid pKa = 4.76
CH3COOH + H2O CH3COO- +
H3O+ Ammonium ion pKa = 9. 25
NH4 H+ + NH3
Polyprotic acid: Acid that can lose more than one
proton.
Diprotic acid – Acid that loses two protons.
e.g. Carbonic acid
H2CO3 HCO3
- + H+ pKa = 3.77
Bicarbonate ion
 Triprotic acid –
e.g. Phosphoric acid pKa = 2.15
H3PO4 H2PO4
- + H+
Dihydrogen phosphate pKa = 7. 2
H2PO4
- HPO4
2- + H+
Monohydrogen phosphate pKa = 12.4
HPO4
2- PO4
3- + H+
Factors affecting pKa values
In organic acid, inductive effect & mesomeric
effect affects pKa values. E.g. pKa value for
acetyl chloride CH3COCl is 2.8 whereas for acetic
acid CH3COOH, it is 4.7.
Structural effects can also be important. The
difference between structures of fumaric acid &
maleic acid is a classic example.
Fumaric acid Maleic acid
(E) 1,4- but-2-ene dioic (Z) 1,4- but-2-ene dioic
pKa value also depend on the properties of the
medium or the solvent, whether the solution is
aqueous or non-aqueous.
pKa value is inversely proportional to the extent or
degree of dissociation. Higher the dissociation of
acid, lower is it’s pKa value.
The pKa value vary with temperature.
The pKa value & % speciation also depends on pH
values.
Experimental determination:
The experimental determination of pKa value is
commonly performed by means of titration. A
typical procedure is followed at constant
temperature.
A solution of the compound is acidified with a
strong acid so that it is fully protonated.
This solution is then titrated against strong base
until all the protons are removed.
At each point during titration, pH is measured with
pH meter.
The values of concentration of conjugate base &
conjugate acid is determined by buffer region.
All the values are suitably substituted in
Handerson-Hasselbalch equation to get the pKa
value.
Application & Significance of
pKa
A knowledge of pKa value is important for
quantitative treatment of systems involving acid-
base equilibria in solution.
Many applications exist in Biochemistry. E.g.
- pKa values of protein & amino acid side chain are
of major importance for understanding the enzyme
activity & stability of protein respectively.
- Buffer solution are used to obtain a desired
physiological pH for study of any biochemical
reaction & the selection of components for
preparing this solution depends on their pKa
values.
- pKa value also help in isoelectric focusing, a
technique used for separation of protein by gel
electrophoresis. Different molecules have different
isoelectric points. Isoelectric points of a molecule
are function of it’s pKa values.
In the field of Chemistry, pKa values are important
to make buffer solution which are used to get a
desired pH in a solution & also helps in
understanding co-ordination complexes.
In aquatic chemistry or chemical oceanography,
where acidity of water plays a fundamental role,
knowledge of pKa value is must.
In Pharmacology, ionization of compound alters it’s
physical behavior & macro properties such as
solubility. These medicinal compounds are weak
acid & bases. During drug manufacture, pKa values
of the compounds must be known before they enter
pKa values for some common
substances
Adenine
Ascorbic acid
Benzoic acid
Cresol
Carbonic acid
Formic acid
Glycine
Hydrogen peroxide ( 90% )
Lactic acid
Oxalic acid
Phenol
Succinic acid
4. 17 , 9. 65
4. 17, 11 . 57
4. 2
10. 29
3. 77 , 10. 2
3. 7
2 . 3 , 9 . 6
11 . 7
3 . 86
1 . 3
9 . 99
4. 2 , 5 . 5
Conclusion
Thus acid dissociation constant is an important
aspect in Chemistry, Biochemistry, Pharmacology,
Geology, Environmental science & several other
life sciences. In living organisms, the acid-base
homeostasis & enzyme kinetics is dependent on pKa
values of acids present in the cell. Many medicinal
compounds are weak acid & bases, hence a
knowledge of pKa is must before they enter
human body. It is a small but significant topic to
be considered while major studies.
References
Nelson & Cox – Principles of Biochemistry, Fourth
edition (2005)
Thomas M. Delvin – Text book of Biochemistry
with clinical co-relations, Sixth edition.
Keith Wilson & John Walker – Principles &
techniques of biochemistry.
Atkins- Chemical Principles, Fourth edition.
Skoog, Holler- Fundamentals of Analytical
Chemistry, Eighth edition.

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Acid Dissociation Constant (pKa): A Guide

  • 1. Acid Dissociation Constant pKa By KAUSHAL KUMAR SAHU Assistant Professor (Ad Hoc) Department of Biotechnology Govt. Digvijay Autonomous P. G. College Raj-Nandgaon ( C. G. )
  • 2. Synopsis Introduction : Dissociation constant. Dissociation of molecules in water. Acid dissociation constant. Theoretical background. Conjugate acid & Conjugate base. Handerson-Hasselbalch equation. Factors affecting pKa values. Experimental determination. Application & Significance. Conclusion. References.
  • 3. Introduction Dissociation Constant: A dissociation constant is a specific type of equilibrium constant that measures the tendency of larger objects to separate or dissociate into smaller components. Example – A complex fall apart into it’s constituent molecules or when a salt splits up into it’s component ions. In some special cases of salt, the dissociation constant is also known as ionization constant.
  • 4. Dissociation of molecules in water Water is the most important component for life on earth because of it’s unique physiochemical properties. It also has a unique solvent property & thus known as the ‘universal solvent’. It shows a dipole structure & hence is polar in nature. It has the ability to form hydrogen bond.
  • 5. Substances that dissociate in water into cations & anions are called electrolytes. These ions facilitates conductance of electric current. Salts of alkali metals (e.g. LiCl, KCl, NaCl) & salts of organic acids (e.g. sodium acetate) dissociate completely. Many acids, however, when dissolved in water, do not dissociate totally but establish an equilibrium between dissociated & undissociated components. E.g. Acetic acid. CH3COOH + H2O CH3COO- + H3O+ Acetic acid CH3COOH H2 O Acetate ion CH3COO- H3O+
  • 6. On molar basis, such compounds are termed as ‘weak electrolytes’, which dissociate partially & have a lower capacity to carry an electric current. On the other hand, ‘strong electrolytes’ are those that dissociate completely.
  • 7.
  • 8. Water is a weak electrolyte Water dissociates as follows: H2O H+ + OH – In partial dissociation of weak electrolyte H2O, the constant for above equilibrium equation can be written as: Keq = [H+] [OH -] [H2O] Where, Keq = physical constant or equilibrium constant. At 25 oC the value of Keq for water is very small. Thus the concentration of water molecules is almost constant. Keq x [H2O] = [H+] [OH -] It is also termed as ionic product of water
  • 9. Kw is also known as autoprotolysis constant of water. At 0 oC Kw has a value 1.14 x 10- 15 & at 100 oC Kw has a value 5.45 x 10- 13 Many biomolecules of biological importance are weak electrolytes. E.g. amino acids, peptides, proteins, nucleosides, nucleotides & nucleic acids. Their biochemical function depends upon their state of ionization at the prevailing cellular or extra-cellular pH. E.g. The catalytic site of an enzyme suppose contain functional group as carboxyl or amino group. To enable the catalytic function of these enzymes, the amino acid side chain in the protein
  • 10. Acid dissociation constant An acid dissociation constant Ka (also known as acidity constant or acid ionization constant) is a quantitative measure of strength of an acid in the solution. It is the equilibrium constant for a chemical reaction known as dissociation in the context of acid-base reaction. The equilibrium can be written symbolically as below: HA H+ + A – Here, HA is a weak acid that dissociates into H+ cation & A – anion. Hence, the dissociation constant may be written as: Ka = [H+] [A –] [HA] A logarithmic measure of Ka is more common & convenient term used in practice. pKa is the negative log of Ka & is also referred to as acid dissociation
  • 11. Theoretical background The acid dissociation constant for an acid is a direct consequence of thermodynamics of the dissociation reaction taking place. The pKa value is directly related to the standard energy change in the reaction, thus it alters with change in temperature. When the reaction is endothermic, the pKa value decreases with increasing temperature. When the reaction is exothermic, the pKa value increases with the decreasing temperature. The larger is the value of pKa , the smaller is the extent or degree of dissociation & vice versa.
  • 12. Conjugate acid & Conjugate base Bronsted & Lowry defined acid & base on the basis of proton exchange concept. According to them, an acid is a proton donor & a base is a proton acceptor. Thus, a weak acid & it’s base i.e. the anion formed after dissociation are referred to as Conjugate pair. It may be described by following equations & few examples: conjugate acid conjugate base + H+ e.g. CH3- CHOH - COOH H+ + CH3- CHOH - COO – lactic acid lactate ion CH3- CO - COOH H+ + CH3-
  • 13.
  • 14. Handerson-Hasselbalch EquationIt defines the relationship between, pH, pKa & concentration of Conjugate acid & Conjugate base. conjugate acid conjugate base + H+ At equilibrium, Ka = [H+] [conjugate base] [conjugate acid] Rearranging above equation & taking log on both the sides, we get, log 1 = log 1 + log [conjugate base] [H+] Ka [conjugate acid]
  • 15. At half neutralization, when ratio of concentration of [conjugate base] / [conjugate acid] is 1 : 1 , pH equals the pKa of acid as log 1 = 0. Thus, the pH of the solution can be predicted when pKa value & concentration of acid & base are known & conversely it is possible to calculate the equilibrium constant when pH of the solution is known. These calculations find application in many different areas of chemistry, biology, medicine & geology.
  • 16. Dissociation constant is a characteristic feature The pKa values for different acids are definite & constant. Monoprotic acid: Acid that can lose only one proton. e.g. Acetic acid pKa = 4.76 CH3COOH + H2O CH3COO- + H3O+ Ammonium ion pKa = 9. 25 NH4 H+ + NH3 Polyprotic acid: Acid that can lose more than one proton. Diprotic acid – Acid that loses two protons. e.g. Carbonic acid H2CO3 HCO3 - + H+ pKa = 3.77 Bicarbonate ion
  • 17.  Triprotic acid – e.g. Phosphoric acid pKa = 2.15 H3PO4 H2PO4 - + H+ Dihydrogen phosphate pKa = 7. 2 H2PO4 - HPO4 2- + H+ Monohydrogen phosphate pKa = 12.4 HPO4 2- PO4 3- + H+
  • 18. Factors affecting pKa values In organic acid, inductive effect & mesomeric effect affects pKa values. E.g. pKa value for acetyl chloride CH3COCl is 2.8 whereas for acetic acid CH3COOH, it is 4.7. Structural effects can also be important. The difference between structures of fumaric acid & maleic acid is a classic example. Fumaric acid Maleic acid (E) 1,4- but-2-ene dioic (Z) 1,4- but-2-ene dioic
  • 19. pKa value also depend on the properties of the medium or the solvent, whether the solution is aqueous or non-aqueous. pKa value is inversely proportional to the extent or degree of dissociation. Higher the dissociation of acid, lower is it’s pKa value. The pKa value vary with temperature. The pKa value & % speciation also depends on pH values.
  • 20. Experimental determination: The experimental determination of pKa value is commonly performed by means of titration. A typical procedure is followed at constant temperature. A solution of the compound is acidified with a strong acid so that it is fully protonated. This solution is then titrated against strong base until all the protons are removed. At each point during titration, pH is measured with pH meter. The values of concentration of conjugate base & conjugate acid is determined by buffer region. All the values are suitably substituted in Handerson-Hasselbalch equation to get the pKa value.
  • 21.
  • 22. Application & Significance of pKa A knowledge of pKa value is important for quantitative treatment of systems involving acid- base equilibria in solution. Many applications exist in Biochemistry. E.g. - pKa values of protein & amino acid side chain are of major importance for understanding the enzyme activity & stability of protein respectively. - Buffer solution are used to obtain a desired physiological pH for study of any biochemical reaction & the selection of components for preparing this solution depends on their pKa values.
  • 23. - pKa value also help in isoelectric focusing, a technique used for separation of protein by gel electrophoresis. Different molecules have different isoelectric points. Isoelectric points of a molecule are function of it’s pKa values. In the field of Chemistry, pKa values are important to make buffer solution which are used to get a desired pH in a solution & also helps in understanding co-ordination complexes. In aquatic chemistry or chemical oceanography, where acidity of water plays a fundamental role, knowledge of pKa value is must. In Pharmacology, ionization of compound alters it’s physical behavior & macro properties such as solubility. These medicinal compounds are weak acid & bases. During drug manufacture, pKa values of the compounds must be known before they enter
  • 24. pKa values for some common substances Adenine Ascorbic acid Benzoic acid Cresol Carbonic acid Formic acid Glycine Hydrogen peroxide ( 90% ) Lactic acid Oxalic acid Phenol Succinic acid 4. 17 , 9. 65 4. 17, 11 . 57 4. 2 10. 29 3. 77 , 10. 2 3. 7 2 . 3 , 9 . 6 11 . 7 3 . 86 1 . 3 9 . 99 4. 2 , 5 . 5
  • 25. Conclusion Thus acid dissociation constant is an important aspect in Chemistry, Biochemistry, Pharmacology, Geology, Environmental science & several other life sciences. In living organisms, the acid-base homeostasis & enzyme kinetics is dependent on pKa values of acids present in the cell. Many medicinal compounds are weak acid & bases, hence a knowledge of pKa is must before they enter human body. It is a small but significant topic to be considered while major studies.
  • 26. References Nelson & Cox – Principles of Biochemistry, Fourth edition (2005) Thomas M. Delvin – Text book of Biochemistry with clinical co-relations, Sixth edition. Keith Wilson & John Walker – Principles & techniques of biochemistry. Atkins- Chemical Principles, Fourth edition. Skoog, Holler- Fundamentals of Analytical Chemistry, Eighth edition.