Intermolecular forces

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1

11

Intermolecular

Forces

2

INTERMOLECULAR FORCES

Hydrogen bonds

Van der

Waals’ forces

Dipole-dipole forces

London

Dispersion forces

3

Johannes van der Waals

(1837 − 1923).

Fritz London

(1900 − 1954).

4

Permanent dipole

3 types of dipoles

Instantaneous dipole

Induced dipole

5

Permanent dipole

A permanent dipole exists in all polar molecules as a result of the difference in the electronegativity of bonded atoms.

6

Instantaneous dipole

An instantaneous dipole is a temporary dipole that exists as a result of fluctuation in the electron cloud.

7

Instantaneous dipole

An instantaneous dipole is a temporary dipole that exists as a result of fluctuation in the electron cloud.

8

Induced dipole

An induced dipole is a temporary dipole that is created due to the influence of neighbouring dipole (which may be a permanent or an instantaneous dipole).

Permanent dipole

9

11.2

Van der Waals’

Forces

Van der Waals’ Forces

Van der Waals’ forces

10

Dipole-

Dipole

Interaction

Dipole-

Induced

Dipole

Interaction

Instantaneous

Dipole-

Induced Dipole

Interaction

London dispersion forces

Dipole-dipole interactions

• Electrostatic interactions between polar molecules

11

Dipole-dipole interactions

• In a sample containing many polar molecules

A balance of attraction and repulsion holding the molecules together

12

Dipole-induced dipole interactions

• When a non-polar molecule approaches a polar molecule (with a permanent dipole), a dipole will be induced in the non-polar molecule.

13

Dispersion forces exist among all molecules and contribute most to the overall van der Waals’ forces.

Polarization

Polarizability : - A measure of how easily the electron cloud of an atom/molecule can be distorted to induce a dipole

14

15

In general, size of electron cloud 

 electron cloud is less controlled by positive nuclei

 extent of electron cloud distortion 

 polarizability 

 stronger dispersion forces

11.2 Van der Waals’ forces (SB p.277)

Instantaneous dipole-induced dipole interactions

• The instantaneous dipole arises from constant movement of electrons.

• Induces dipoles in neighbouring atoms or molecules

16

17

Instantaneous dipole-induced dipole interactions

18

19

20

Evidence for the presence of London dispersion forces

1. Condensation of noble gases at low temperatures to form liquids and solids

 presence of attractive forces between non-polar atoms

E.g. Xe(g)  Xe(s)  H sub

= -14.9 kJ mol  1

21

Evidence for the presence of London dispersion forces

2. The non-ideal behaviour of gases

P

 a n

V

2

V

 bn

 nRT van der Waals’ equation

11.2 Van der Waals’ forces (SB p.279)

Strength of van der Waals’ forces

Much weaker than covalent bonds

Less than 10% the strength of covalent bonds van der Waals’ radius > covalent radius

I

2

22

23

Q.59

The electron clouds of adjacent iodine molecules would repel each other strongly until the equilibrium van der Waals’ distance is restored.

24

The strength of van der Waals’ forces can be estimated by melting point, boiling point, enthalpy change of fusion or enthalpy change of vapourization.

Higher m.p./b.p./  H fusion

/  H vap

 stronger van der Waals’ forces

25

Strength of van der Waals’ forces

Depends on three factors (in decreasing order of importance) : -

1. Size of molecule

2. Surface area of molecule

3. Polarity of molecule

1. Size of Molecule

Molecule Boiling point

( o C)

Helium

Neon

Argon

-269

-246

-186

Fluorine

Chlorine

Bromine

-188

-34.7

58.8

Methane

Ethane

Propane

26

-162

-88.6

-42.2

Sometimes !

Size of molecule  

Size of electron cloud 

Polarizability 

Dispersion forces 

27

2. Surface area of molecule

The van der Waals’ forces also increase with the surface area of the molecule.

∵ van der Waals' forces are short-ranged forces

Atoms or molecules must come close together for significant induction of dipoles.

28

Pentane (C

5

H

12

)

2,2-dimethylpropane

(C

5

H

12

)

Both are non-polar

Same no. of electrons

Boiling point: 36.1

°

C Boiling point: 9.5

°

C

rod-shaped spherical in shape pentane molecules larger contact area

2,2-dimethylpropane molecules smaller contact area

29

Pentane (C

5

H

12

)

Boiling point

= 36.1

 C

Larger contact surface area

 Higher chance of forming induced dipoles

 stronger dispersion forces

30

2,2-dimethylpropane

(C

5

H

12

)

Boiling point

= 9.5

 C

Smaller contact surface area

 lower chance of forming induced dipoles

 weaker dispersion forces

31

3. Polarity of molecules

For molecules with comparable molecular sizes and shapes, dispersion forces are approximately equal.

Then, strength of van der Waals’ forces depends on the polarity of molecules involved

Polar/polar > polar/non-polar > non-polar/non-polar

32

33

H

3

C

 + 

C O

Dipole-dipole forces

H

3

C

+

Dispersion forces

H

3

C H

3

C

RMM = 58.0, b.p. = 50  C

 + 

C O

H

2

C

H

3

C C

H

2

RMM = 58.0, b.p. = 0  C

CH

3

H

3

C

Dispersion forces only

H

2

C

C

H

2

CH

3

Other examples : -

1. Graphite layers of large surface area

 strong van der Waals’ forces

2. Polyethene vs ethene

(m.p. > 100  C) (m.p. =  169  C)

34

% contribution to the overall van der Waals' forces

Molecule Dipoledipole interaction

Dipoleinduced dipole interaction

Instantaneous dipoleinduced dipole interaction

C

4

H

10

HCl

0

15

0

4

100

81

35

Q.60(a)

CH

3

Cl < CH

3

Br < CH

3

I b.p./  C -24.2 3.56

42.4

The strength of dispersion forces increases with molecular size/mass .

Thus, b.p. increases with molecular size/mass

Although chloromethane is more polar, the effect of dispersion forces outweights that of dipole-dipole forces.

36

Q.60(b)

CH

3

H

3

C

C

CH

3

CH

3

9.5

 C

<

H

3

C

H

2

C

CH

CH

3

CH

3

27.7

 C

<

Less spherical

Greater surface area

H

3

C

H

2

C

C

H

2

H

2

C

CH

3

36.1

 C

37

Q.60(c)

F

2

F

2

Cl

2

ClF

< ClF < Cl

2

CH

< CH

2

2

Cl

Cl

2

2

-188  C -100  C -34.0

 C 39.6

 C

ClF > F

2

. It is because

1. ClF has a greater molecular size than F

2 and thus has stronger dispersion forces than F

2

2. ClF is polar and its molecules are held by both dipole-dipole forces and dispersion forces.

38

Q.60(c)

F

2

< ClF < Cl

2

> CH

2

Cl

2

-188  C -100  C -34.0

 C 39.6

 C

Cl

2

> ClF. It is because

1. Cl

2 has a greater molecular size than ClF and thus has stronger dispersion forces than ClF.

2.Although ClF is polar, the effect of dispersion forces outweights that of dipole-dipole forces.

39

Q.60(c)

F

2

< ClF < Cl

2

> CH

2

Cl

2

-188  C -100  C -34.0

 C 39.6

 C

CH

2

Cl

2

> Cl

2

. It is because

1. CH

2

Cl

2 has a greater molecular size than Cl thus has stronger dispersion forces than Cl

2

2

.

and

2.CH

2

Cl

2 is polar and its molecules are held by both dipole-dipole forces and dispersion forces.

40

Q.60(d)

NO < C

2

H

6 b.p./  C -151 -89

RMM 28.0 28.0

41

1 pm = 0.001 nm

1 nm = 10  9 m

42

43

NO < C

2

H

6 b.p./  C -151 -89

RMM 28.0 28.0

C

2

H

6

> NO. It is because

1. C

2

H

6 has a greater molecular size and contact surface area than NO and thus has stronger dispersion forces than NO.

2.Although NO is polar, the effect of dispersion forces outweights that of dipole-dipole forces.

44

The melting of a solid involves the separation of molecules from a regularly packed molecular crystal.

Thus, m.p. of a solid depends on

1. The strength of van der Waals’ forces

2.

Packing efficiency of molecules in the crystal lattice

45

Symmetry of molecule

Packing efficiency

m.p.

Q.61

m.p.

H

3

C

H

2

C

CH

CH

3

CH

3

-160  C

<

H

3

C

H

2

C

C

H

2

H

2

C

CH

3

-136  C

CH

3

<

H

3

C

C

CH

3

CH

3

-20  C

Increasing symmetry

Increasing packing efficiency

46

47

Q.61

H

3

C

H

2

C

CH

CH

3

CH

3

<

H

3

C

H

2

C

C

H

2

H

2

C

CH

3

Greater surface area

Stronger van der Waals’ forces

48

11.4

Molecular

Crystals

49

Molecular crystals

A molecular crystal is a structure which consists of individual molecules packed together in a regular arrangement by weak intermolecular forces.

Iodine

f.c.c. structure

50

A unit cell of iodine crystal showing the orientation of I

2 molecules

Dry ice

f.c.c. structure

51

A unit cell of dry ice (CO

2

)

Structure and bonding of fullerenes

Fullerenes are molecules composed entirely of carbon atoms , in the form of hollow spheres or hollow tubes .

52

Buckminsterfullerene (or buckyball)

The first fullerene discovered was buckminsterfullerene (C

60

) .

53

Buckminsterfullerene.

A soccer ball.

54

R.F. Curl

Discovered C

60

H.W. Kroto in 1985

R.E. Smalley

Awarded Nobel prize for Chemistry in 1996

Buckminsterfullerene

C

60

Cutting at

12 vertices

55 icosahedron

正二十面體 truncated icosahedron

Buckminsterfullerene

56

12 pentagons by cutting at 12 vertices.

Buckminsterfullerene

57

20 hexagons by cutting 20 triangular faces.

58

Named after the architect

Richard Buckminster Fuller

A geodesic dome

59

Each carbon atom is connected to three other carbon atoms by one double covalent bond and two single covalent bonds .

Buckminsterfuller ene

60

Each pentagon is connected to five hexagons

Each hexagon is connected to three pentagons and three hexagons alternately .

61

Graphite is planar because it is made of hexagonal rings linked together.

62

In C

60

, pentagonal rings prevent the sheet from being planar, making it spherical.

0.1434 nm

0.1386 nm

Why are there two types of bond in C

60

?

63

The surface of the sphere is NOT planar

 2p z orbitals are NOT parallel to one another

 Delocalization of  e  s is NOT favourable

64

Family of fullerene s

C

28

C

32

C

50

Some of the more stable members of the fullerene family. (a) C

28

(b) C

32

(c) C

50

(d) C

70

C

70

65

66

Molecular structure

C

60 molecules held by dispersion forces

1. Melting point

Fullerene molecules are held together by weak van der Waals’ forces .

Substance

Graphite

Diamond

Buckminsterfullerene

Melting point ( ° C)

3730

3550

1070

67

2. Solubility

Graphite

Diamond

Giant covalent structure

insoluble in all liquid solvents dissolves in benzene

68

Fullerenes

Molecular structure

3. Strength and hardness

Buckminsterfullerenes are relatively strong and hard compared with most other molecular solids.

The C

60 molecules are packed closely together in solid state.

buckminsterfullerene molecule (C

60

)

69

4. Electrical conductivity

Pure buckminsterfullerene (C

60

) is an electrical insulator .(no delocalized electrons) buckminsterfullerene

The buckminsterfullerene with potassium atoms filling the spaces between its molecules is a superconductor . Its formula is K

3

C

60

.

potassium atom

70

Carbon nanotube (CNT) or buckytube

71

First discovered by Dr. Sumio Iijima in 1991

Carbon nanotube (CNT) or buckytube

72

It is formed by carbon atoms arranged in a long cylindrical hollow tube .

Carbon nanotube (CNT) or buckytube

73

The diameter of a nanotube is in the order of a few nanometres (10  9 m) .

Carbon nanotube (CNT) or buckytube

74

75

Graphite sheet

Carbon nanotube (CNT) or buckytube

76

Properties of nanotubes

The tensile strength of carbon nanotubes is exceptionally high due to the strong covalent bonds holding the atoms together

The strongest materials on earth.

~100 times stronger than steel

Applications : clothes, sports equipments, space elevators…

77

Properties of nanotubes

Carbon nanotube is an electrical conductor because of the movement of delocalized electrons along the graphite sheets.

Depending on their structures, carbon nanotubes can be semi-conducting or as electrically conductive as metals .

78

79

11.5

Hydrogen

Bonding

Evidence of hydrogen bonding

Look at the boiling points of some simple hydrides of Group IV to VII elements

(p.87).

80

B.p.  as molecular size 

Group 4 hydrides are non-polar, only dispersion forces exist

Dispersion forces  as molecular size  .

81

All are polar

B.p.  as molecular size  (dispersion > dipole-dipole)

However, H

2

O, HF and NH

3 have abnormally high b.p.

There exist unusually strong dipole-dipole forces (H-bond)

82

Formation of hydrogen bonding

When a hydrogen atom is directly bonded to a highly electronegative atom

(e.g. fluorine, oxygen and nitrogen), a highly polar bond is formed.

83

2.1

4.0

2.1

3.5

2.1

3.0

84

Electrostatic attractions exist between this partial positive charge and the lone pair electrons on a highly electronegative atom (i.e. fluorine, oxygen or nitrogen) of another molecule.

These attractions are called hydrogen bonds

85 hydrogen bond

hydrogen bond

86

Formation of hydrogen bonds between H

2

O molecules.

Reasons for abnormal strength of H-bond

1. the polarity of H–X bond is great when X is F ,

O , or N.

2. H atom does not have inner electrons.

 its nucleus (proton) is partially exposed due to unequal sharing of electron.

 The partial positive charge on H is so concentrated that it can come very close to the lone pair of a small & highly electronegative atom (F, O or N)

 Abnormally strong dipole-dipole forces

87

88

Two essential requirements for the formation of a hydrogen bond:

• One molecule must contain at least one

H atom attached to a highly electronegative atom (i.e. F, O or N).

• The other molecule must contain an F,

O or N atom that provides the lone pair of electrons.

Identify the hydrogen atoms of the following species that are capable of forming hydrogen bonding with water molecules.

89 adenine

Soluble in water glucose

An exceptional case : -



Cl

 Cl C

 +

H

H-bond

O C

CH

3

Cl



CH

3

Due to the combined effect of the three electronegative Cl atoms, the H atom becomes sufficiently positive to form hydrogen bond

90

91

Relative strength of van der Waals’ forces, hydrogen bond and covalent bond

Phenomenon

He(s)  He(g)

Energy absorbed

(kJ mol -1 )

0.11

Forces overcome

Van der Waals’ forces

H

2

O(s)  H

2

O(g) 46.90

Hydrogen bonds

O

2

(g)  2O(g) 494.00

Covalent bonds

Q.65

Tendency of H-bond formation : -

 EN 0.4 0.4 0.9 0.9 1.4 1.9

C – H < S – H < Cl – H < N – H < O – H < F – H

No lone pair on C

N is smaller than Cl

H can come closer

92

Q.66

Substance

NH

3

HF

H

2

O

Relative molecular mass

17

20

18

Boiling point

(

°

C)

-33.3

19.5

100

HF > NH

3 because

H – F bond is more polar than N – H bond

93

Q.66

Substance

NH

3

HF

H

2

O

Relative molecular mass

17

20

18

Boiling point

(

°

C)

-33.3

19.5

100

94

H

2

O > HF because

H

2

O can form H-bonds more extensively , regardless of the fact that H-F bond is more polar than H-O bond.

hydrogen bond

95

Each NH

3 molecule has only ONE

 On the average, each NH

3 only ONE hydrogen bond lone pair.

molecule can form

96

Each HF molecule has only ONE hydrogen atom.

 On the average, each HF molecule can form only ONE hydrogen bond

hydrogen bond

97

Each H

2

O molecule has TWO hydrogen atoms and

TWO lone pairs.

 On the average, each H

2

TWO hydrogen bonds

O molecule can form

Structure and bonding of ice

a water molecule hydrogen bond

The lone pairs of oxygen atom of each water molecule forms hydrogen bonds with two hydrogen atoms of nearby water molecules hydrogen bond hydrogen atom oxygen atom

98

hydrogen bond

The two hydrogen atoms of each water molecule also form hydrogen bonds with the lone pairs of oxygen atoms of nearby water molecules.

hydrogen bond hydrogen atom oxygen atom

99

100

Each H

2

O molecule is bonded tetrahedrally to four H

2

O molecules

1

4

2

3

In solid ice, the tetrahedral arrangement repeats over and over again, resulting in an open and regular network structure of water molecules.

Open : the maximum number of hydrogen bonds can be formed

Regular : all molecules are held in positions by strong hydrogen bonds

101

102

The oxygen atoms in the structure of ice are arranged in a hexagonal shape.

103

The hexagonal symmetry of a snowflake reflects the structure of ice.

In liquid state, water molecules pack together more closely and randomly .

Hydrogen bonds are continuously formed and broken .

Liquid water takes the shapes of the containers

104

Properties of ice

1. Density

Most substances have higher densities in the solid state than in the liquid state.

liquid paraffin solid paraffin

Solid paraffin is denser than liquid paraffin.

ice water

105

Ice has a lower density than liquid water!

At 0

°

C, density of ice = 0.92 g cm −3 density of liquid water = 1.00 g cm −3

106 liquid paraffin solid paraffin ice water

107

In cold weather, ice forms a layer on the top of a pond.

Ice

Ice acts as an insulator for the water beneath.

This allows fish and other aquatic organisms to survive.

Explanation

In ice, water molecules are arranged in an orderly manner in an open network structure because of extensive formation of hydrogen bonding .

108

109

In this open structure, water molecules are further apart than they are in liquid water.

ice liquid water melts open structure collapses water molecules tend to pack more closely together

Energy is absorbed to break some of the hydrogen bonds

Less H-bonds

 less stable

 Close & random

110

More H-bonds

 More stable

 Open & regular

Effect of hydrogen bonding on properties of water

1. Melting point and boiling point

The melting point (0

°

C) and boiling point

(100

°

C) of water are much higher than expected .

A lot of energy is required to overcome the hydrogen bonds between water molecules and separate them.

111

2. Surface tension

112

High surface tension of water allows water striders to ‘walk’ on it.

2. Surface tension

Surface tension of molecular liquids arises from intermolecular forces.

Stronger intermolecular forces leads to higher surface tension

Liquid

Hexane

Relative surface tension at 25  C

18.4

Methanol

Ethanol

Water

22.6

22.8

72.3

113

2. Surface tension

Water molecules at the surface are strongly attracted by neighboring molecules on the same surface.

The surface of water is like a tightly-stretched skin such that small insects can walk on it.

intermolecular forces

114

2. Surface tension

115

Water forms droplets rather than spreading out on leaf.

2. Surface tension

In a sample of water, each water molecule is attracted to neighboring water molecules in all directions and there is a balance of force .

116

2. Surface tension

There is an imbalance of force for the molecules at the surface.

The water molecules at the surface tend to be pulled inwards by other water molecules below the surface.

As a result, water forms droplets rather than spreading out on leaf.

In other words, water tends to reduce its surface area by taking the spherical shape.

117

118

The high surface tension of water allows water to be transported to the top of trees by capillary action .

The tallest tree on earth

115.56m

3. Viscosity

Viscosity

The resistance of a liquid to flow.

119

The higher the viscosity of a liquid, the more slowly it flows.

Viscosity arises from intermolecular forces

Strong hydrogen bonds hold water molecules together and do not allow them to move past one another easily.

Liquid Relative viscosity

Benzene 1

Water 15

Water has high melting and boiling points, high surface tension and high viscosity .

120

Surface tension

Effect of hydrogen bonding on properties of alcohols

Consider an ethanol molecule.

hydroxyl group lone pairs of electrons

121

1. Boiling point

Ethanol molecules are held together by H-bonds .

 high boiling point hydrogen bond

H-bond strength

122

Alcohols vs Thiols (p.90)

Alcohol CH

3

OH C

2

H

5

OH C

3

H

7

OH C

4

H

9

OH b.p.(  C) 64.5

78 97 117

Thiol CH

3

SH C

2

H

5

SH C

3

H

7

SH C

4

H

9

SH b.p.(  C) 5.8

37 67 97

Dispersion forces : Thiol > alcohol

Boiling point : Alcohol > thiol

123

2. Solubility in water

hydrogen bonds

124 water ethanol

Ethanol and water are completely miscible

3. Viscosity

Ethanol is viscous because of the presence of extensive intermolecular hydrogen bonds.

Ethanol is viscous , completely miscible with water , and has a high boiling point .

125

126 propan-1-ol propane-1,2-diol propane-1,2,3-triol

Viscosity  as no. of OH groups per molecule 

Viscosity

Explain the following.

Water is easily absorbed by tissue paper rather than forming droplets on it.

Tissue paper is composed of cellulose which is a natural polymer made of glucose molecules.

Thus, tissue paper can form extensive hydrogen bonds with water molecules.

127

Carboxylic Acids

O

H

3

C

RMM = 60

C

O

H

H-bonds

H

O

O

C CH

3

Ethanoic acid exists as dimers , (CH

3

COOH)

2 in vapour phase or in non-polar solvents

,

RMM = 2  60 = 120

128

Q.67

Ethanoic acid molecules form H-bonds with polar solvent molecules rather than with other ethanoic molecules.

H

H

O

O

H

3

C C

H

O H

O

H

129

Q.67

Ethanoic acid molecules form H-bonds with polar solvent molecules rather than with other ethanoic molecules.

R

H

O

O

H

3

C C H

O H O

R

130

131

Intramolecular Hydrogen Bonding

O

H

O

H

O

N

O b.p. = 214  C N

O O b.p. = 279  C

132

Formation of intramolecular hydrogen bonds prevents the formation of intermolecular hydrogen bonds  lower boiling point

H

H

O

O O

N

O b.p. = 214  C N

O O b.p. = 279  C

Roles of Hydrogen Bonding in Biochemical Systems

Proteins : polymers of amino acids

Primary structure : sequence of amino acids

Peptide linkage

133

Secondary structures : -

1.

 -pleated sheet

2.

 -helix

134

1.

 -pleated sheet

Intermolecular H-bonds formed between peptide linkages of adjacent protein chains

135

C O C O

N C N C

H planar

C H C

Both N and C of the N – C bond are sp 2 hybridized to facilitate delocalization of  electrons

136

C O C O

N C N C

H C H planar

N – C bond has double bond character

C

 free rotation w.r.t. the bond axis is restricted

 N – H and C = O groups are held in opposite positions to facilitate the formation of inter-chain H-bonds

137

138

2.  -helical structure

Intramolecular hydrogen bond

C

O

H

N

139

2.  -helical structure

The molecular chains of protein can be held in position to give the

 -helical structure by forming intramolecular hydrogen bonds.

140

Both  - and  - structures were first suggested by Linus Pauling

.

141

Tertiary structure

3-D arrangements of secondary structures

Myoglobin

142

Quaternary structure

3-D arrangements of tertiary structures

Haemoglobin

143

Hydrogen bonding in DNA

DNA ( D eoxyribon N uclei A cid) carries genetic information hydrogen bonds

144

Effect of hydrogen bonding on DNA

The presence of intermolecular H-bonds helps maintain the double helical shape of DNA molecules. hydrogen bonds

145

Effect of hydrogen bonding on DNA

The double helical structure is maintained by intermolecular hydrogen bonds formed between specific base pairs

146

Effect of hydrogen bonding on DNA

147

C ytosine G uanine

Effect of hydrogen bonding on DNA

148

T hymine A denine

Effect of hydrogen bonding on DNA

Sequence of bases = genetic code

CAGACTTGCAAT…

GTCTGAACGTTA…

Or

149

150

Without hydrogen bond, life becomes impossible hydrogen bonds

151

Without hydrogen bond, life becomes impossible

152

Without hydrogen bond, life becomes impossible

H

 +

O O

O



H

 +

It allows oxygen to dissolve in water

153

Change of states and intermolecular forces

• 3 different states: solid , liquid and gas

• Change of states involves breaking or forming of intermolecular forces of the molecular substances

Phase Diagram

A phase diagram is a graph summarizing the conditions of pressure and temperature under which the different phases of a substance are stable.

Phase  state

E.g. C in the same state may have different phases

Graphite, diamond, C

60

154

A phase is any homogeneous and physically distinct part of a system which is separated from other parts of the system by a definite physical boundary known as the phase boundary .

155

A system having two phases in the same liquid state oil

Phase boundary water

156

A system having three phases in two states oil

Phase boundaries water glass

157

A system having four phases in three states oil air glass

Phase boundaries water

158

Phase Diagram of Carbon Dioxide

Three regions in each of which only one phase is stable

P / atm

Solid

Liquid

Vapour

T /  C

159

Phase Diagram of Carbon Dioxide

The three regions meet at three lines , along which two phases coexist in equilibrium.

P / atm

Solid

Liquid

Vapour

T /  C

160

Phase Diagram of Carbon Dioxide

AT is the sublimation curve

P / atm

A

Solid

T

Liquid

Vapour

T /  C

161

Phase Diagram of Carbon Dioxide

CO

2 sublimation

(s) CO

2

(g)

P / atm

A

Solid

T

Liquid

Vapour

T /  C

162

Phase Diagram of Carbon Dioxide

AT shows the variation of sublimation temperature of carbon dioxide with external pressure

P / atm

A

Solid

T

Liquid

Vapour

T /  C

163

Phase Diagram of Carbon Dioxide

TB is the melting curve

P / atm

Solid

B positive slope

(most common)

Liquid

T

Vapour

A

T /  C

164

Phase Diagram of Carbon Dioxide

CO

2 melting

(s) CO

2

(l)

P / atm B

Liquid

Solid

T

Vapour

A

T /  C

165

Phase Diagram of Carbon Dioxide

TB shows the variation of melting temperature of carbon dioxide with external pressure

P / atm B

Liquid

Solid

T

Vapour

A

T /  C

166

Phase Diagram of Carbon Dioxide

TC is the boiling curve

P / atm B

C

Solid

Liquid

T

Vapour

A

T /  C

167

Phase Diagram of Carbon Dioxide

CO

2 boiling

(l) CO

2

(g)

P / atm B

C

Solid

Liquid

T

Vapour

A

T /  C

168

Phase Diagram of Carbon Dioxide

TC shows the variation of boiling temperature of carbon dioxide with external pressure

P / atm B

C

Solid

Liquid

T

Vapour

A

T /  C

169

Q.62

(a) Condensation by

T

P / atm

A

Solid

T

Liquid

Vapour

170

T /  C

Q.62

(a) Condensation by

P

P / atm

A

Solid

T

Liquid

Vapour

171

T /  C

Q.62

(b) Boiling by

T

P / atm

A

Solid

T

Liquid

Vapour

172

T /  C

Q.62

(b) Boiling by

P

P / atm

A

Solid

T

Liquid

Vapour

173

T /  C

Q.62

(c) Freezing by  T

P / atm

A

Solid

T

Liquid

Vapour

174

T /  C

Q.62

(c) Freezing by  P

P / atm

A

Solid

T

Liquid

Vapour

175

T /  C

Q.62

(d) Melting by  T

P / atm

A

Solid

T

Liquid

Vapour

176

T /  C

Q.62

(d) Melting by  P

P / atm

A

Solid

T

Liquid

Vapour

177

T /  C

Q.62

(e) Sublimation by



T

P / atm

A

Solid

T

Liquid

Vapour

178

T /  C

Q.62

(e) Sublimation by



P

P / atm

A

Solid

T

Liquid

Vapour

179

T /  C

180

T is the triple point where all three phases coexist in equilibrium.

P / atm B

C

Solid

Liquid

5.1 atm

T

Vapour

A

T /  C

 56.4

 C

Vapour

Triple point

Solid Liquid vapour pressure above solid = vapour pressure above liquid

181

Dry ice sublimes when heated at 1atm

182

P / atm

5.1 atm

1 atm

A

Solid

B

Liquid

C

T

Vapour

 56.4

 C

T /  C

Dry ice is so called because it never melts (goes wet ) at normal pressure

P / atm B

C

Solid

Liquid

5.1 atm

1 atm

A

T

Vapour

T /  C

 56.4

 C

183

184

At P > 5.1 atm , dry ice melts to give liquid CO

2 when heated

P / atm B

C

10 atm

Solid

Liquid

Triple point video

5.1 atm

T

Vapour

A

T /  C

 56.4

 C

TC curve terminates at C beyond which the boundary between liquid and vapour disappears

P / atm

P c

= 73atm

B

C

Liquid Critical point

Solid

T

Vapour

A

T /  C

T c

= 31  C

185

Above T c

, the vapour cannot be condensed no matter how high the external pressure is

P / atm

P c

= 73atm

B

C

Liquid

Solid

T

Gas

Vapour

A

T /  C

T c

= 31  C

186

P / atm

P c

= 73atm

A

As dense as a liquid

As mobile as a gas

B

C

Liquid

Solid

T

Vapour

T c

= 31  C

Supercritical fluid

Gas

T /  C

187

P / atm

P c

= 73atm

Decaffeination using supercritical CO

2

B

Liquid

Solid

T

Vapour

C

A

T c

= 31  C

Supercritical fluid

Gas

T /  C

188

Q.63

P / atm

P c

= 73atm

A

In winter, T < T c

CO

2 is in liquid phase

B

C

Liquid

Solid

T

Vapour

T c

= 31  C

Supercritical fluid

Gas

T /  C

189

Q.63

P / atm

P c

= 73atm

In summer, T > T c

CO

2 is in gas phase

B

Supercritical fluid

C

A

Solid

T

Liquid

Vapour

T c

= 31  C

Gas

T /  C

190

Q.64

P / atm

P c

= 73atm

As P  , CO

2

(l)  CO

2

(g)

So T  and CO

2

(g)  CO

2

(s)

B

C

Liquid

Solid

T

1 atm

Vapour

A

T c

= 31  C

Supercritical fluid

Gas

T /  C

191

Phase Diagram of Water

P / atm

B

Negative slope

(very rare)

Liquid

Solid

C

Supercritical fluid

Gas

T

Vapour

A

T /  C m.p.  when external P 

192

Phase Diagram of Water

P / atm

B

H

2

O(s) H

2

O(l)

Liquid

Solid

T

Vapour

A

C

Supercritical fluid

Gas

T /  C

193

Phase Diagram of Water

P / atm

B

H

2

O(s) H

2

O(l)

Liquid

Solid

T

Vapour

A

C

Supercritical fluid

Gas

T /  C

194

195

H

2

O(s) H

2

O(l)

Ice melts below 0  C when an extremely high pressure is applied to it.

This results in a decrease in friction between contact surfaces and makes possible ice-skating and the movement of tremendously massive glaciers .

Phase Diagram of Water

P / atm

B

C

Supercritical fluid

Liquid

1 atm

Solid Gas

0.006 atm T

Vapour

A

T /  C

0  C 0.01

 C 100  C

196

Phase Diagram of Water

P / atm

B

P c

=217.2atm

Liquid

Solid

T

Vapour

A

C

Supercritical fluid

Gas

T c

=374  C

T /  C

197

Critical temperature and the strength of intermolecular forces

Gas He H

2

Ne N

2

O

2

CO

2

NH

3

H

2

O

T c

(K) 4.2 33.3 44.5 126 154 304 405 647 non-polar

Higher T c

 stronger intermolecular forces

Polar with H bond

 greater deviation from ideal gas behaviour

198

Q.68

Cu(NH

3

)

4

SO

4

 NH

3

Reason : does not exist.

Unlike H

2

O, each NH three H atoms.

3 has one lone pair and

Thus, NH

3 cannot form hydrogen bonds in the same way as H

2

O in the crystal lattice.

199

200

The END

11.2 Van der Waals’ forces (SB p.280)

Back

201

How is the enthalpy of vaporization related to intermolecular forces of a simple molecular substance like neon?

Answer

The enthalpy of vaporization of a substance is the energy needed to vaporize one mole of the substance at its boiling point. Consider a substance like neon, which consists of single atoms, Neon liquefies when the temperature is lowered to –246 o C at 1 atm.

The enthalpy of vaporization of the liquid at this temperature is

1.77 kJ mol -1 . Some of this energy is needed to push back the atmosphere when the vapour forms. The remaining energy must be supplied to overcome the intermolecular attractions. Because each molecule in a liquid is surrounded by several neighbouring molecules, this remaining energy is some multiple of a single molecule-molecule interaction. Typically, this multiple is about 5.

11.2 Van der Waals’ forces (SB p.280)

(a) Comment on the relative strength of van der Waals’ forces in solid, liquid and gaseous bromine.

Answer

(a) The relative strength of van der Waals’ forces decreases in the order:

Solid bromine > liquid bromine > gaseous bromine

The van der Waals’ forces are highly dependent on the distance between adjacent molecules. It decreases exponentially with the separation between the molecules. Going from solid to liquid and then to gaseous state, the separation between molecules increases, so the van der Waals’ forces become weaker and weaker.

202

11.2 Van der Waals’ forces (SB p.280)

(b) Plastics are substances which have very strong van der

Waals’ forces. Explain why the van der Waals’ forces are so strong in plastics.

Answer

(b) A large size of a molecule of plastics indicates that it has a large electron cloud which is more easily polarized. Therefore, the molecule of plastics is more likely induced to form an instantaneous dipole. Moreover, the molecule of plastics has an extensive surface area. These make plastics have very strong van der Waals’ forces between the molecules.

203

11.2 Van der Waals’ forces (SB p.280)

Back

(c) Arrange the following substances in an increasing order of boiling point:

(i) N

2

, O

2

, Cl

2

, Ne

(ii) H

2

, Br

2

, He

(c) (i) Ne < N

2

< O

2

< Cl

2

Answer

(ii) He < H

2

< Br

2

204

11.3 Van der Waals’ radii (SB p.284)

Back

What is the consequence of two molecules approaching each other at a distance less than the sum of their van der Waals’ radii?

Answer

The electron clouds of the two molecules will repel each other, and the distance between the two molecules will increase until the repulsion is just balanced by the attraction.

205

11.5 Hydrogen bonding (SB p.291)

The relative molecular masses and boiling points of five compounds are given below:

Compound Relative molecular mass

Boiling point

( o C)

Ammonia (NH

3

) 17 -33.4

Ethanol (C

2

H

5

OH)

Hydrogen fluoride (HF)

46

20

78

19.5

Methanol (CH

3

OH)

Water (H

2

O)

32

18

66

100

206

11.5 Hydrogen bonding (SB p.291)

(a) Ammonia, hydrogen fluoride and water have similar relative molecular masses, yet their boiling points are different. Explain why.

Answer

(a) H

2

O can form 2 hydrogen bonds per molecule while NH

3 and HF can only form 1 hydrogen bond per molecule.

Thus, the boiling point of water is higher than those of

NH

3 and HF. Besides, as F is more electronegative than N, the intermolecular hydrogen bond formed between HF molecules is stronger than that between NH

3 molecules.

207

11.5 Hydrogen bonding (SB p.291)

Back

(b) Ethanol and methanol have similar structures, yet their boiling points are different. Explain why.

Answer

(b) For molecules with similar structures, their boiling points depend on their relative molecular masses. As the relative molecular mass of ethanol is greater than that of methanol, the boiling point of ethanol is higher.

208

11.5 Hydrogen bonding (SB p.293)

Why it takes much longer time to boil an egg on a mountain peak?

Answer

The boiling point of water decreases with decreasing pressure.

Although water boils easily at mountain peak, the cooking of an egg takes longer time. It is because the amount of heat delivered to the egg is proportional to the temperature of water.

Back

209

11.5 Hydrogen bonding (SB p.296)

(a) The formation of a hydrogen bond between two molecules RAH and R’B may be represented as:

R  A  H · · · · · · · B  R’

(i) Suggest possible elements for A and B. What are their common features?

(ii)In which of the following ranges would you expect the strength of hydrogen bonds to lie?

0.1 – 10 kJ mol -1

10 – 50 kJ mol -1

100 – 400 kJ mol -1

Answer

210

11.5 Hydrogen bonding (SB p.296)

(a) (i) A and B can be nitrogen, oxygen or fluorine. All of them are highly electronegative atoms, thus they form highly polar molecules, resulting in the formation of hydrogen bonds.

(ii) 10 – 50 kJ mol -1

211

11.5 Hydrogen bonding (SB p.296)

(b) Benzoic acid has an apparent relative molecular mass of

244 in hexane, but only 122 in aqueous solution. With the aid of diagrams, explain this phenomenon.

Answer

212

11.5 Hydrogen bonding (SB p.296)

(b) The relative molecular mass of benzoic acid (C

6

H

5

COOH) is 122.

In hexane, benzoic acid molecules form dimers with hydrogen bondings between the molecules.

However, in water, the benzoic acid molecules form hydrogen bonds with the water molecules.

213

11.5 Hydrogen bonding (SB p.296)

(c) Cyclohexane (C

6

H

12

(C

6

H

12

O

6

) is insoluble in water whereas glucose

) is miscible with water in all proportions.

Answer

214

11.5 Hydrogen bonding (SB p.296)

Back

(c) Cyclohexane is non-

polar, and there are only weak van der Waals’

forces holding the molecules together. Thus, cyclohexane molecules do not form hydrogen bonds with water. On the other hand, glucose can form hydrogen bonds with water molecules via its

OH groups. Therefore, glucose is soluble in water but cyclohexane is not.

215

Cyclohexane Glucose

11.5 Hydrogen bonding (SB p.297)

Name the types of bonding or intermolecular forces that are broken and formed in the following processes.

• H

2

O(s)  H

2

O(g)

• 2Mg(s) + O

2

(g)  2MgO(s)

• H

2

(g) + F

2

(g)  2HF(g)

• 2Na(s) + 2H

2

O(l)  2NaOH(aq) + H

2

(g)

• CH

3

CH

2

OH(l) + 3O

2

(g)  2CO

2

(g) + 3H

2

O(l)

Answer

216

11.5 Hydrogen bonding (SB p.297)

Back

(a) Bond broken: hydrogen bond

(b) Bonds broken: metallic bond and covalent bond

Bond formed: ionic bond

(c) Bond broken: covalent bond

Bonds formed: covalent bond and hydrogen bond

(d) Bonds broken: covalent bond, metallic bond and hydrogen bond

Bonds formed: ionic bond and covalent bond

(e) Bonds broken: covalent bond and hydrogen bond

Bonds formed: covalent bond and hydrogen bond

217

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