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John E. McMurry
www.cengage.com/chemistry/mcmurry
Chapter 2
Polar Covalent Bonds:
Acids and Bases
Modified by Dr. Daniela R. Radu
 Description of basic ways chemists account for
chemical reactivity.
 Establish foundation for understanding specific
reactions discussed in subsequent chapters.
Why This Chapter?
 Covalent bonds can have ionic character
 These are polar covalent bonds
 Bonding electrons attracted more strongly by one
atom than by the other
 Electron distribution between atoms is not
symmetrical
2.1 Polar Covalent Bonds:
Electronegativity
 Electronegativity (EN): intrinsic ability of an atom to
attract the shared electrons in a covalent bond
 Differences in EN produce bond polarity
 Arbitrary scale. As shown in Figure 2.2,
electronegativities are based on an arbitrary scale
 F is most electronegative (EN = 4.0), Cs is least (EN =
0.7)
 Metals on left side of periodic table attract electrons
weakly, lower EN
 Halogens and other reactive nonmetals on right side of
periodic table attract electrons strongly, higher
electronegativities
 EN of C = 2.5
Bond Polarity and
Electronegativity
The Periodic Table and
Electronegativity
 Nonpolar Covalent Bonds: atoms with similar EN
 Polar Covalent Bonds: Difference in EN of atoms < 2
 Ionic Bonds: Difference in EN > 2
 C–H bonds, relatively nonpolar C-O, C-X bonds
(more electronegative elements) are polar
 Bonding electrons toward electronegative atom
 C acquires partial positive charge, +
 Electronegative atom acquires partial negative
charge, -
 Inductive effect: shifting of electrons in a bond in
response to EN of nearby atoms
Bond Polarity and Inductive
Effect
 Electrostatic
potential maps
show calculated
charge
distributions
 Colors indicate
electron-rich (red)
and electron-poor
(blue) regions
 Arrows indicate
direction of bond
polarity
Electrostatic Potential Maps
 Molecules as a whole are often polar from vector summation of individual
bond polarities and lone-pair contributions
 Strongly polar substances are soluble in polar solvents like water; nonpolar
substances are insoluble in water.
 Dipole moment () - Net molecular polarity, due to difference in summed
charges
  - magnitude of charge Q at end of molecular dipole times distance r
between charges
  = Q  r, in debyes (D), 1 D = 3.336  1030 coulomb meter
 length of an average covalent bond, the dipole moment would be 1.60 
1029 Cm, or 4.80 D.
2.2 Polar Covalent Bonds:
Dipole Moments
 Large dipole moments
 EN of O and N > H
 Both O and N have lone-pair electrons oriented away
from all nuclei
Dipole Moments in Water and
Ammonia
 In symmetrical molecules, the dipole moments of each
bond have one in the opposite direction
 The effects of the local dipoles cancel each other
Absence of Dipole Moments
 Sometimes it is necessary to have structures with formal charges on
individual atoms
 We compare the bonding of the atom in the molecule to the valence electron
structure
 If the atom has one more electron in the molecule, it is shown with a “-”
charge
 If the atom has one less electron, it is shown with a “+” charge
 Neutral molecules with both a “+” and a “-” are dipolar
2.3 Formal Charges
 Atomic sulfur has 6
valence electrons.
 Dimethyl sulfoxide
sulfur has only 5.
 It has lost an electron
and has positive
charge.
 Oxygen atom in
DMSO has gained
electron and has
negative charge.
Formal Charge for Dimethyl
Sulfoxide
Formal Charges (Continued)
 Some molecules are have structures that cannot be shown with a
single representation
 In these cases we draw structures that contribute to the final
structure but which differ in the position of the  bond(s) or
lone pair(s)
 Such a structure is delocalized and is represented by resonance
forms
 The resonance forms are connected by a double-headed arrow
2.4 Resonance
 A structure with resonance forms does not alternate between the
forms
 Instead, it is a hybrid of the resonance forms, so the structure is
called a resonance hybrid
 For example, benzene (C6H6) has two resonance forms with
alternating double and single bonds
 In the resonance hybrid, the actual structure, all its C-C bonds
are equivalent, midway between double and single
Resonance Hybrids
 Individual resonance forms are imaginary - the real
structure is a hybrid (only by knowing the contributors
can you visualize the actual structure)
 Resonance forms differ only in the placement of their 
or nonbonding electrons
 Different resonance forms of a substance do not have to
be equivalent
 Resonance forms must be valid Lewis structures: the
octet rule generally applies
 The resonance hybrid is more stable than any individual
resonance form would be
2.5 Rules for Resonance
Forms
 We can imagine that electrons move in pairs to convert
from one resonance form to another
 A curved arrow shows that a pair of electrons moves
from the atom or bond at the tail of the arrow to the atom
or bond at the head of the arrow
Curved Arrows and Resonance
Forms
 Any three-atom grouping with a p orbital on
each atom has two resonance forms
2.6 Drawing Resonance
Forms
 Sometimes resonance forms involve different atom types as well as
locations
 The resulting resonance hybrid has properties associated with both types of
contributors
 The types may contribute unequally
 The “enolate” derived from acetone is a good illustration, with
delocalization between carbon and oxygen
Different Atoms in Resonance
Forms
 The anion derived from 2,4-pentanedione
 Lone pair of electrons and a formal negative charge on
the central carbon atom, next to a C=O bond on the left
and on the right
 Three resonance structures result
2,4-Pentanedione
 The terms “acid” and “base” can have different
meanings in different contexts
 For that reason, we specify the usage with more
complete terminology
 The idea that acids are solutions containing a lot of “H+”
and bases are solutions containing a lot of “OH-” is not
very useful in organic chemistry
 Instead, Brønsted–Lowry theory defines acids and
bases by their role in reactions that transfer protons (H+)
between donors and acceptors
2.7 Acids and Bases: The
Brønsted–Lowry Definition
 “Brønsted-Lowry” is usually shortened to “Brønsted”
 A Brønsted acid is a substance that donates a hydrogen cation (H+)
 A Brønsted base is a substance that accepts the H+
 “proton” is a synonym for H+ - loss of an electron from H leaving the
bare nucleus—a proton
Brønsted Acids and Bases
 Hydronium ion, product when base H2O gains a proton
 HCl donates a proton to water molecule, yielding hydronium ion
(H3O+) [conjugate acid] and Cl [conjugate base]
 The reverse is also a Brønsted acid–base reaction of the conjugate
acid and conjugate base
The Reaction of Acid with
Base
 The equilibrium constant (Keq) for the reaction of an acid
(HA) with water to form hydronium ion and the
conjugate base (A-) is a measure related to the strength
of the acid
 Stronger acids have larger Keq
 Note that brackets [ ] indicate concentration, moles per
liter, M.
HA + H2
O A-
+ H3
O+
Keq
=
H3
O+
é
ë
ù
û A-
é
ë
ù
û
HA
é
ë ù
û H2
O
é
ë ù
û
2.8 Acid and Base Strength
 The concentration of water as a solvent does not change
significantly when it is protonated
 The molecular weight of H2O is 18 and one liter weighs 1000
grams, so the concentration is ~ 55.6 M at 25°
 The acidity constant, Ka for HA is Keq times 55.6 M (leaving
[water] out of the expression)
 Ka ranges from 1015 for the strongest acids to very small values (10-
60) for the weakest
HA + H2
O A-
+ H3
O+
Ka
= Keq
H2
O
é
ë ù
û =
H3
O+
é
ë
ù
û A-
é
ë
ù
û
HA
é
ë ù
û
Ka – the Acidity Constant
pKa’s of Some Common
Acids
 pKa = –log Ka
 The free energy in an equilibrium is related to –log of Keq
(DG = –RT log Keq)
 A smaller value of pKa indicates a stronger acid and is
proportional to the energy difference between products
and reactants
 The pKa of water is 15.74
H2
O + H2
O OH-
+ H3
O+
Keq
=
H3
O+
é
ë
ù
û OH-
é
ë
ù
û
H2
O
é
ë ù
û
2
and Ka
= Keq
´ H2
O
é
ë ù
û =
H3
O+
é
ë
ù
û OH-
é
ë
ù
û
H2
O
é
ë ù
û
pKa – the Acid Strength
Scale
 pKa values are related as logarithms to equilibrium constants
 Useful for predicting whether a given acid-base reaction will take
place
 The difference in two pKa values is the log of the ratio of equilibrium
constants, and can be used to calculate the extent of transfer
 The stronger base holds the proton more tightly
2.9 Predicting Acid–Base
Reactions from pKa Values
 Organic Acids:
- characterized by the presence of positively
polarized hydrogen atom
2.10 Organic Acids and Organic
Bases
 Those that lose a proton from O–H, such as methanol
and acetic acid
 Those that lose a proton from C–H, usually from a
carbon atom next to a C=O double bond (O=C–C–H)
Organic Acids
 Have an atom with a lone pair of electrons that can
bond to H+
 Nitrogen-containing compounds derived from ammonia
are the most common organic bases
 Oxygen-containing compounds can react as bases
when with a strong acid or as acids with strong bases
Organic Bases
 Lewis acids are electron pair acceptors and Lewis bases
are electron pair donors
 Brønsted acids are not Lewis acids because they cannot
accept an electron pair directly (only a proton would be a
Lewis acid)
 The Lewis definition leads to a general description of
many reaction patterns but there is no scale of strengths
as in the Brønsted definition of pKa
2.11 Acids and Bases: The
Lewis Definition
 The Lewis definition of acidity includes metal cations, such as Mg2+
 They accept a pair of electrons when they form a bond to a base
 Group 3A elements, such as BF3 and AlCl3, are Lewis acids because they have
unfilled valence orbitals and can accept electron pairs from Lewis bases
 Transition-metal compounds, such as TiCl4, FeCl3, ZnCl2, and SnCl4, are Lewis
acids
 Organic compounds that undergo addition reactions with Lewis bases (discussed
later) are called electrophiles and therefore Lewis Acids
 The combination of a Lewis acid and a Lewis base can shown with a curved arrow
from base to acid
Lewis Acids and the Curved
Arrow Formalism
Illustration of Curved Arrows in
Following Lewis Acid-Base Reactions
 Lewis bases can accept protons as well as Lewis acids, therefore
the definition encompasses that for Brønsted bases
 Most oxygen- and nitrogen-containing organic compounds are
Lewis bases because they have lone pairs of electrons
 Some compounds can act as both acids and bases, depending on
the reaction
Lewis Bases
 Several types:
- Dipole-dipole forces
- Dispersion forces
- Hydrogen bonds
2.12 Noncovalent Interactions
Between Molecules
 Occur between polar molecules as a result of
electrostatic interactions among dipoles
 Forces can be attractive or repulsive depending on
orientation of the molecules
Dipole-Dipole
 Occur between all neighboring molecules and arise
because the electron distribution within molecules that
isconstantly changing
Dispersion Forces
 Most important noncovalent interaction in biological
molecules
 Forces are result of attractive interaction between a
hydrogen bonded to an electronegative atom and an
unshared electron pair on another O or N atom
Hydrogen Bond Forces
Hydrogen Bonds in Biological
Molecules
 Organic molecules often have polar covalent bonds as
a result of unsymmetrical electron sharing caused by
differences in the electronegativity of atoms
 The polarity of a molecule is measured by its dipole
moment, .
 (+) and () indicate formal charges on atoms in
molecules to keep track of valence electrons around an
atom
 Some substances must be shown as a resonance
hybrid of two or more resonance forms that differ by
the location of electrons.
 A Brønsted(–Lowry) acid donates a proton
 A Brønsted(–Lowry) base accepts a proton
 The strength Brønsted acid is related to the negative
logarithm of the acidity constant, pKa. Weaker acids
have higher pKa’s
Summary
 A Lewis acid has an empty orbital that can accept an
electron pair
 A Lewis base can donate an unshared electron pair
 In condensed structures C-C and C-H are implied
 Skeletal structures show bonds and not C or H (C is
shown as a junction of two lines) – other atoms are
shown
 Molecular models are useful for representing structures
for study
 Noncovalent interactions have several types: dipole-
dipole, dispersion, and hydrogen bond forces
Summary (Continued)
Rank the following substances in order of
increasing acidity.
Let’s Work a Problem
Do not make things too hard if we don’t have to.
The lower the value of the pKa, the more acidic the
molecule is:
Answer

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Polar Covalent Bonds and Acid-Base Concepts

  • 1. John E. McMurry www.cengage.com/chemistry/mcmurry Chapter 2 Polar Covalent Bonds: Acids and Bases Modified by Dr. Daniela R. Radu
  • 2.  Description of basic ways chemists account for chemical reactivity.  Establish foundation for understanding specific reactions discussed in subsequent chapters. Why This Chapter?
  • 3.  Covalent bonds can have ionic character  These are polar covalent bonds  Bonding electrons attracted more strongly by one atom than by the other  Electron distribution between atoms is not symmetrical 2.1 Polar Covalent Bonds: Electronegativity
  • 4.  Electronegativity (EN): intrinsic ability of an atom to attract the shared electrons in a covalent bond  Differences in EN produce bond polarity  Arbitrary scale. As shown in Figure 2.2, electronegativities are based on an arbitrary scale  F is most electronegative (EN = 4.0), Cs is least (EN = 0.7)  Metals on left side of periodic table attract electrons weakly, lower EN  Halogens and other reactive nonmetals on right side of periodic table attract electrons strongly, higher electronegativities  EN of C = 2.5 Bond Polarity and Electronegativity
  • 5. The Periodic Table and Electronegativity
  • 6.  Nonpolar Covalent Bonds: atoms with similar EN  Polar Covalent Bonds: Difference in EN of atoms < 2  Ionic Bonds: Difference in EN > 2  C–H bonds, relatively nonpolar C-O, C-X bonds (more electronegative elements) are polar  Bonding electrons toward electronegative atom  C acquires partial positive charge, +  Electronegative atom acquires partial negative charge, -  Inductive effect: shifting of electrons in a bond in response to EN of nearby atoms Bond Polarity and Inductive Effect
  • 7.  Electrostatic potential maps show calculated charge distributions  Colors indicate electron-rich (red) and electron-poor (blue) regions  Arrows indicate direction of bond polarity Electrostatic Potential Maps
  • 8.  Molecules as a whole are often polar from vector summation of individual bond polarities and lone-pair contributions  Strongly polar substances are soluble in polar solvents like water; nonpolar substances are insoluble in water.  Dipole moment () - Net molecular polarity, due to difference in summed charges   - magnitude of charge Q at end of molecular dipole times distance r between charges   = Q  r, in debyes (D), 1 D = 3.336  1030 coulomb meter  length of an average covalent bond, the dipole moment would be 1.60  1029 Cm, or 4.80 D. 2.2 Polar Covalent Bonds: Dipole Moments
  • 9.  Large dipole moments  EN of O and N > H  Both O and N have lone-pair electrons oriented away from all nuclei Dipole Moments in Water and Ammonia
  • 10.  In symmetrical molecules, the dipole moments of each bond have one in the opposite direction  The effects of the local dipoles cancel each other Absence of Dipole Moments
  • 11.  Sometimes it is necessary to have structures with formal charges on individual atoms  We compare the bonding of the atom in the molecule to the valence electron structure  If the atom has one more electron in the molecule, it is shown with a “-” charge  If the atom has one less electron, it is shown with a “+” charge  Neutral molecules with both a “+” and a “-” are dipolar 2.3 Formal Charges
  • 12.  Atomic sulfur has 6 valence electrons.  Dimethyl sulfoxide sulfur has only 5.  It has lost an electron and has positive charge.  Oxygen atom in DMSO has gained electron and has negative charge. Formal Charge for Dimethyl Sulfoxide
  • 14.  Some molecules are have structures that cannot be shown with a single representation  In these cases we draw structures that contribute to the final structure but which differ in the position of the  bond(s) or lone pair(s)  Such a structure is delocalized and is represented by resonance forms  The resonance forms are connected by a double-headed arrow 2.4 Resonance
  • 15.  A structure with resonance forms does not alternate between the forms  Instead, it is a hybrid of the resonance forms, so the structure is called a resonance hybrid  For example, benzene (C6H6) has two resonance forms with alternating double and single bonds  In the resonance hybrid, the actual structure, all its C-C bonds are equivalent, midway between double and single Resonance Hybrids
  • 16.  Individual resonance forms are imaginary - the real structure is a hybrid (only by knowing the contributors can you visualize the actual structure)  Resonance forms differ only in the placement of their  or nonbonding electrons  Different resonance forms of a substance do not have to be equivalent  Resonance forms must be valid Lewis structures: the octet rule generally applies  The resonance hybrid is more stable than any individual resonance form would be 2.5 Rules for Resonance Forms
  • 17.  We can imagine that electrons move in pairs to convert from one resonance form to another  A curved arrow shows that a pair of electrons moves from the atom or bond at the tail of the arrow to the atom or bond at the head of the arrow Curved Arrows and Resonance Forms
  • 18.  Any three-atom grouping with a p orbital on each atom has two resonance forms 2.6 Drawing Resonance Forms
  • 19.  Sometimes resonance forms involve different atom types as well as locations  The resulting resonance hybrid has properties associated with both types of contributors  The types may contribute unequally  The “enolate” derived from acetone is a good illustration, with delocalization between carbon and oxygen Different Atoms in Resonance Forms
  • 20.  The anion derived from 2,4-pentanedione  Lone pair of electrons and a formal negative charge on the central carbon atom, next to a C=O bond on the left and on the right  Three resonance structures result 2,4-Pentanedione
  • 21.  The terms “acid” and “base” can have different meanings in different contexts  For that reason, we specify the usage with more complete terminology  The idea that acids are solutions containing a lot of “H+” and bases are solutions containing a lot of “OH-” is not very useful in organic chemistry  Instead, Brønsted–Lowry theory defines acids and bases by their role in reactions that transfer protons (H+) between donors and acceptors 2.7 Acids and Bases: The Brønsted–Lowry Definition
  • 22.  “Brønsted-Lowry” is usually shortened to “Brønsted”  A Brønsted acid is a substance that donates a hydrogen cation (H+)  A Brønsted base is a substance that accepts the H+  “proton” is a synonym for H+ - loss of an electron from H leaving the bare nucleus—a proton Brønsted Acids and Bases
  • 23.  Hydronium ion, product when base H2O gains a proton  HCl donates a proton to water molecule, yielding hydronium ion (H3O+) [conjugate acid] and Cl [conjugate base]  The reverse is also a Brønsted acid–base reaction of the conjugate acid and conjugate base The Reaction of Acid with Base
  • 24.  The equilibrium constant (Keq) for the reaction of an acid (HA) with water to form hydronium ion and the conjugate base (A-) is a measure related to the strength of the acid  Stronger acids have larger Keq  Note that brackets [ ] indicate concentration, moles per liter, M. HA + H2 O A- + H3 O+ Keq = H3 O+ é ë ù û A- é ë ù û HA é ë ù û H2 O é ë ù û 2.8 Acid and Base Strength
  • 25.  The concentration of water as a solvent does not change significantly when it is protonated  The molecular weight of H2O is 18 and one liter weighs 1000 grams, so the concentration is ~ 55.6 M at 25°  The acidity constant, Ka for HA is Keq times 55.6 M (leaving [water] out of the expression)  Ka ranges from 1015 for the strongest acids to very small values (10- 60) for the weakest HA + H2 O A- + H3 O+ Ka = Keq H2 O é ë ù û = H3 O+ é ë ù û A- é ë ù û HA é ë ù û Ka – the Acidity Constant
  • 26. pKa’s of Some Common Acids
  • 27.  pKa = –log Ka  The free energy in an equilibrium is related to –log of Keq (DG = –RT log Keq)  A smaller value of pKa indicates a stronger acid and is proportional to the energy difference between products and reactants  The pKa of water is 15.74 H2 O + H2 O OH- + H3 O+ Keq = H3 O+ é ë ù û OH- é ë ù û H2 O é ë ù û 2 and Ka = Keq ´ H2 O é ë ù û = H3 O+ é ë ù û OH- é ë ù û H2 O é ë ù û pKa – the Acid Strength Scale
  • 28.  pKa values are related as logarithms to equilibrium constants  Useful for predicting whether a given acid-base reaction will take place  The difference in two pKa values is the log of the ratio of equilibrium constants, and can be used to calculate the extent of transfer  The stronger base holds the proton more tightly 2.9 Predicting Acid–Base Reactions from pKa Values
  • 29.  Organic Acids: - characterized by the presence of positively polarized hydrogen atom 2.10 Organic Acids and Organic Bases
  • 30.  Those that lose a proton from O–H, such as methanol and acetic acid  Those that lose a proton from C–H, usually from a carbon atom next to a C=O double bond (O=C–C–H) Organic Acids
  • 31.  Have an atom with a lone pair of electrons that can bond to H+  Nitrogen-containing compounds derived from ammonia are the most common organic bases  Oxygen-containing compounds can react as bases when with a strong acid or as acids with strong bases Organic Bases
  • 32.  Lewis acids are electron pair acceptors and Lewis bases are electron pair donors  Brønsted acids are not Lewis acids because they cannot accept an electron pair directly (only a proton would be a Lewis acid)  The Lewis definition leads to a general description of many reaction patterns but there is no scale of strengths as in the Brønsted definition of pKa 2.11 Acids and Bases: The Lewis Definition
  • 33.  The Lewis definition of acidity includes metal cations, such as Mg2+  They accept a pair of electrons when they form a bond to a base  Group 3A elements, such as BF3 and AlCl3, are Lewis acids because they have unfilled valence orbitals and can accept electron pairs from Lewis bases  Transition-metal compounds, such as TiCl4, FeCl3, ZnCl2, and SnCl4, are Lewis acids  Organic compounds that undergo addition reactions with Lewis bases (discussed later) are called electrophiles and therefore Lewis Acids  The combination of a Lewis acid and a Lewis base can shown with a curved arrow from base to acid Lewis Acids and the Curved Arrow Formalism
  • 34. Illustration of Curved Arrows in Following Lewis Acid-Base Reactions
  • 35.  Lewis bases can accept protons as well as Lewis acids, therefore the definition encompasses that for Brønsted bases  Most oxygen- and nitrogen-containing organic compounds are Lewis bases because they have lone pairs of electrons  Some compounds can act as both acids and bases, depending on the reaction Lewis Bases
  • 36.  Several types: - Dipole-dipole forces - Dispersion forces - Hydrogen bonds 2.12 Noncovalent Interactions Between Molecules
  • 37.  Occur between polar molecules as a result of electrostatic interactions among dipoles  Forces can be attractive or repulsive depending on orientation of the molecules Dipole-Dipole
  • 38.  Occur between all neighboring molecules and arise because the electron distribution within molecules that isconstantly changing Dispersion Forces
  • 39.  Most important noncovalent interaction in biological molecules  Forces are result of attractive interaction between a hydrogen bonded to an electronegative atom and an unshared electron pair on another O or N atom Hydrogen Bond Forces
  • 40. Hydrogen Bonds in Biological Molecules
  • 41.  Organic molecules often have polar covalent bonds as a result of unsymmetrical electron sharing caused by differences in the electronegativity of atoms  The polarity of a molecule is measured by its dipole moment, .  (+) and () indicate formal charges on atoms in molecules to keep track of valence electrons around an atom  Some substances must be shown as a resonance hybrid of two or more resonance forms that differ by the location of electrons.  A Brønsted(–Lowry) acid donates a proton  A Brønsted(–Lowry) base accepts a proton  The strength Brønsted acid is related to the negative logarithm of the acidity constant, pKa. Weaker acids have higher pKa’s Summary
  • 42.  A Lewis acid has an empty orbital that can accept an electron pair  A Lewis base can donate an unshared electron pair  In condensed structures C-C and C-H are implied  Skeletal structures show bonds and not C or H (C is shown as a junction of two lines) – other atoms are shown  Molecular models are useful for representing structures for study  Noncovalent interactions have several types: dipole- dipole, dispersion, and hydrogen bond forces Summary (Continued)
  • 43. Rank the following substances in order of increasing acidity. Let’s Work a Problem
  • 44. Do not make things too hard if we don’t have to. The lower the value of the pKa, the more acidic the molecule is: Answer