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11.1 Kinetic Molecular Theory, States of Matter, and Phase Changes 11.2 Vapor Pressure 11.3 Other Properties of Liquids 11.4 The Nature of Intermolecular Forces 11.5 Intermolecular Forces and the Properties of Liquids
To this point, we have described the structures of individual atoms and individual molecules in great detail. For atoms, we have focused on electronic structure, and
for molecules, we have studied the arrangement of atoms with respect to one another. We are now ready to move to the next level of complexity in chemical
systems: how collections of molecules interact and how those interactions control the physical properties of matter.
Chapter 11. Intermolecular Forces and the Liquid State
2
Intermolecular Forces and the Liquid State
11.1 Kinetic Molecular Theory, States of Matter, and Phase Changes
• KMT also applies to liquids and solids
– Molecules in liquids and solids are in constant random motion
• Liquids and solids are called condensed phases
– Particles are packed in close proximity
– Density is a measure of the differences between the phases
– Except for water, the density increases when going from solid to liquid to gas
3
KMT for Solids and Liquids11.1
• Forces between particles that hold one molecule near another molecule
– Relative strengths of IMFs closely mirror that of the density ranking
– Greatest in solids and the weakest in gases
Intermolecular Forces (IMFs)
4
11.1
Physical
state
IMFs
between
particles
Compressibility Shape and
volume
Ability
to flow
Gas Generally weak High Takes on shape
and volume
of container
High
Liquid Generally
intermediate
Very low Takes on shape of
container;
volume limited by
surface area
Moderate
Solid Generally
strong
Almost none Maintains own
shape and
volume
Almost
none
Table 11.1.1 - Properties of Solids, Liquids, and Gases
5
6
Influence chemistry, directly related to chemical and physical properties: – Melting point
– Boiling point
– Energy to convert a solid to liquid
– Energy to convert liquid to vapor
– Solubility of gases, liquids, and solids in various solvents
– Structures of biologically important molecules, such as DNA and proteins
– Much weaker than covalent bonds
Intermolecular Forces11.1
Intermolecular Forces and the Liquid State
11.4 The Nature of Intermolecular Forces
7
11.4 Intermolecular Forces
8
Attractive forces that hold particles together in the condensed phases are called Intermolecular Forces (IMFs).
Magnitude of intermolecular forces is what determines if the particles in the substance are in a gas, liquid, or solid phase.
van der Waals forces -dipole-dipole interactions, including hydrogen bonding and dispersion forces
11.4 Intermolecular Forces
9
Dipole-dipole interactions are attractive forces that act between polar molecules.
As the dipole forces increase, intermolecular forces increase. As the intermolecular forces increase, boiling points increase.
11.4 Intermolecular Forces
10
Hydrogen bonding is a special type of dipole-dipole interaction between H-F, H-O, and H-N ONLY .
H bonded to a small, highly electronegative atom, such as N, O, or F .
• H-bonding is especially strong in water O—H bond is very polar
• 2 e- lone pairs on the O atom attract H-atoms from other H2O molecules
• Accounts for many of water’s unique properties.
Hydrogen Bonding in H2O 11.4
Hydrogen Bonding in H2O
• Ice has open lattice- like structure.
• Density Ice < liquid
• solid water floats on water.
Snow flake: www.snowcrystals.com
11.4
11.4 Intermolecular Forces
14
• Electrons in a molecule have some freedom to move about • molecule may have a nonuniform distribution of electron
density, resulting in temporary dipole— instantaneous dipole or induced dipole
An instantaneous dipole in one molecule can induce dipoles in neighboring molecules.
11.4 Intermolecular Forces
15
London dispersion forces or simply dispersion forces result attractive forces
As dispersion forces increase, intermolecular forces increase.
As the intermolecular forces increase, boiling points increase.
Polar Covalent Bonds: Electronegativity
Polarizability: Relative charge distribution, the electron cloud of an atom or molecule, is distorted from its normal shape by an external electric field, which may be caused by the presence of a nearby ion or dipole.
11.4
11.4 Intermolecular Forces
17
Ion-dipole interactions are Coulombic attractions between ions (either positive or negative) and polar molecules.
Magnitude of ion-dipole interactions depends on:
Ion’s the charge and the ion size Polar molecule’s dipole moment and size
Na+
Cl
18
Summary of IMF in descending Order
Type of interaction Factors Responsible for Example
Interaction
Ion-Ion Charge of the ion, 400-4000 kJ/mol K+ and Cl-
Ion–dipole Ion charge, magnitude of dipole,
40-600 kJ/mol
K+ in H2O
Hydrogen bonding Very polar X-H bond to atom Y
(X,Y = F,N,O), 10-40 kJ/mol
H2O–H2O
Dipole–dipole Dipole moment, 5-25 kJ/mol CH2Cl2–CH2Cl2
Dipole-induced
dipole
Dipole moment of polar molecule &
polarizability of nonpolar molecule,
2-10 kJ/mol
O2–H2O
Induced dipole–
induced dipole (LDF)
Polarizability, 0.05-40 kJ/mol Br2–Br2
11.4
Interacting particles
Are polar
molecules
involved?
Are ions
involved?
Are polar
molecules
involved?
Are Hydrogen
atoms bonded to O,
N or F involved?
London
forces
(induced
dipoles)
Dipole–
dipole
forces
Hydrogen
bonding
Ion–dipole
forces
Ionic
bonding
No
No No
No Yes
Yes
Yes
Concept Map - IMFs
19
11.4
11.1
20
What kind(s) of intermolecular forces exist in (a) CCl4(l) (b) CH3COOH(l)
Draw Lewis dot structures and apply VSEPR theory to determine whether each molecule is polar or nonpolar.
(a) CCl4 is nonpolar, so the only intermolecular forces are dispersion forces.
(b) CH3COOH is polar and contains an O-H bond, so it exhibits dipole-dipole interactions (including hydrogen bonding) and dispersion forces.
• Particles are in constant motion
• Particles are in close contact
• Liquids are almost incompressible
• Liquids do not fill the container
• Intermolecular forces are relevant molecules are inter-dependent
2 1
Properties of Liquids11.1
• Energy needed to break the intermolecular bonds in liquids and solids
– Energy is released when intermolecular “bonds” are formed
• N is blue and H is white
What kind of change is represented? Deposition gs
Is energy absorbed or released when the change occurs? Released
2 2
Phase Changes11.1
11.1 Phase Changes
23
Phase Change (State Change): A change in physical form but NOT the chemical identity of a substance.
NO bonds are broken! Break IMF’s
Chapter 8/24
Enthalpies of Physical and Chemical Change
Enthalpy of Fusion (∆Hfusion opposite ∆Hfreezing): The amount of heat necessary to melt a substance without changing its temperature, s l or l s
∆Hfusion = - ∆Hfreezing
Enthalpy of Vaporization (∆Hvap opposite ∆Hcondensation): The amount of heat required to vaporize a substance without changing its temperature, l g or g l
∆Hvaporization = - ∆Hcondensation
Enthalpy of Sublimation (∆Hsublimation opposite ∆Hdeposition): The amount of heat required to convert a substance from a solid to a gas without going through a liquid phase, s g or g s
∆Hsublimation = - ∆Hdeposition
+40.7 kJ/mol -40.7 kJ/mol
+6.02 kJ/mol -6.02 kJ/mol
11.1
ΔHfusion (kJ/mol) Melting point (°C) ΔHvap (kJ/mol) Boiling point (°C)
Methane 0.94 –182.5 8.2 –161.6
Ethane 2.86 –182.8 14.7 –88.6
Propane 3.53 –187.6 19.0 –42.1
Methanol 3.16 –97.0 35.3 64.7
Ethanol 5.02 –114.3 38.6 78.4
1-Propanol 5.20 –127 41.4 97.2
Water 6.01 0.0 40.7 100.0
Na 2.60 97.82 97.42 881.4
NaBr 26.11 755 160.7 1390
25
Table 12.5.1 - Selected Heats of Fusion and Vaporization at the Temperature of the Normal Phase Transition
11.5
Phase Diagram summarizes the conditions (temperature and pressure) at which a substance exists as a solid, liquid, or gas.
Phase Diagrams Normal Boiling Point and Melting Point : Occurs at 1 atm.
Critical Point: A combination of temperature and pressure beyond which a gas cannot be liquefied.
• Critical Temperature: The temperature beyond which a gas cannot be liquefied regardless of the pressure.
• Critical Pressure: The pressure beyond which a liquid cannot be vaporized regardless of the temperature.
Supercritical Fluid: A state of matter beyond the critical point that is neither liquid nor gas.
Triple Point: A point at which three phases coexist in equilibrium.
11.1
28
11.1
Intermolecular Forces and the Liquid State
11.2 Vapor Pressure
29
• Vapor Pressure - Pressure of the liquid molecules in the vapor state
• For a liquid to vaporize, sufficient energy must be added (endothermic) to overcome the break IMFs
• Dynamic equilibrium: State in which rate of forward is equal to the rate of reverse
• Equilibrium vapor pressure: Pressure exerted by a vapor over a liquid in a closed container at a given temperature
Dynamic Equilibrium and Vapor Pressure
30
11.2
What is the chemical composition of the vapor?
• Liquid with the stronger IMFs has lower vapor pressure at a given T - Inverse relationship
31
Vapor Pressure and IMFs11.2
S=C=S
Table 11.2.1 - Vapor Pressure of Some Common Liquids
32
Boiling Point
N o
rm a
l b
p =
7 8
.5 °C
Water boils at 100°C at sea level
Sea level 1 atm = 760 mmHg
N o
rm a
l b
p
-40 -20 0 20 40 60 80 100 120 Temperature, °C
V a
p o
r p
re ss
u re
, m
m H
g
1000
500
0
b p
= 3
4 .6
°C
Salt Lake City (4400 ft) P=650 mmHg
Water boils at 95°C in Salt Lake City
11.2 • Temperature at which Pvap = Patm
– Normal boiling point: Patm = 760 mmHg (1 atm)
• As strength of IMF increases, the boiling point increases
• At reduced external pressure (higher altitude)
Boiling occurs at a lower temperature
34
Boiling Point and Baking11.2 Baking at Higher elevations (lower air pressure) is a SCIENCE!
Liquids evaporate faster, amounts of flour, sugar and liquids are changed to prevent batter that is too moist, dry or gummy
Gases expand more - doughs and baked goods rise faster easier for gas bubbles to rise. Leavening agents (baking soda and baking powder) are decreased
At elevations over 3500 feet, the oven temperature for batters and doughs should be 25oF higher than at sea level, WHY?
…leavening and evaporation are faster, use a higher temperature to set the structure before overexpansion and dry out
• IMFs affect- Enthalpy of vaporization, Vapor pressure, Boiling point of liquids
• For a series of liquids, as IMF strength increases:
– Energy needed to vaporize the liquids increases (ΔHvap increases)
– Liquid vapor pressure decreases
– Liquid boiling point increases
IMF Summary
35
Molecules in
the liquid
state
Hvap Volatility Equilibrium
vapor
pressure
Boiling
point
Strong IMFs More
endothermic
Low Low High
Weak IMFs Less
endothermic
High High Low
11.2
• Mathematical relationship between vapor pressure (P), temperature (T), and strength of IMFs (related to ΔHvap)
R - Ideal gas constant (R = 8.314×10–3 kJ/K·mol)
36
Clausius–Clapeyron Equation
vap
- = +
= + x
Δ
y m
In 1
TR P
b
H C
11.2
Clausius-Clapeyron Equation Measured values to obtain the relationship between VP & T:
NOTE: T must be in Kelvin! R = 8.3145 J/mol-K
Plot ln P versus 1/T
slope = – ΔHvap R
Ethanol
11.2
Clausius-Clapeyron Equation What is the ΔHvap for diethyl ether, CH3CH2OCH2CH3 if P1 = 57.0 mm Hg at T1= -22.8
oC and P2 = 534 mm Hg at T2= 25.0oC ?
ln = –P2 P1
1 T2
1 T1
-ΔHvap R
Ln = – 534
57.0
1 250.35
1 298.15
-ΔHvap 8.315 J K-1mol-1
ΔHvap = 29048.8 J/mol = 29.0 kJ/mol
11.2
Intermolecular Forces and the Liquid State
11.3 Other Properties of Liquids
39
11.3 Properties of Liquids
40
Surface Tension, measure of the elastic force, energy required to stretch or increase the surface of a liquid by a unit area (1 cm2).
Measure of force required to "break" the surface of a liquid, “skin”
A liquid with strong intermolecular forces has a high surface tension.
Molecules on the surface are not pulled upward but are pulled downward and sideways, causes tightening of surface molecules
http://www.npr.org/blogs/krulwich/2013/04/21/17794960 5/a-wet-towel-in-space-is-not-like-a-wet-towel-on-earth
11.3 Properties of Liquids
41
Viscosity, is a measure of a fluid’s resistance to flow, units of N · s/m2,
Higher the viscosity, the more slowly a liquid flows.
Liquids that have strong IMFs have higher viscosities than those that have weaker IMFs.
Higher Temperature = Lower viscosity
• Ek > Ebarrier required to move past another molecule.
Longer molecule = Higher viscosity • Flexible, longer molecules become tangled and hinder flow
Capillary action - liquid is pulled up into a narrow glass cylinder
A competition between:
• Adhesion: attractions between unlike molecules.
• Cohesion: attractions between like molecules.
Shape of the meniscus illustrates the relative strength of the adhesive and cohesive forces
11.3 Properties of Liquids
Adhesion < Cohesion Convex meniscus is formed
Adhesion > Cohesion Concave meniscus is formed
H2O adheres to the wall
Intermolecular Forces and the Liquid State
11.5 Intermolecular Forces and the Properties of Liquids
43
Table 11.5.1 - Properties of Some Common Nonpolar Species
Compound
Molar mass
(g/mol) ΔHvap (kJ/mol) Boiling point (°C)
He 4.0 0.08 –268.9
Ne 20.3 1.7 –246.1
N2 28.0 5.6 –195.8
O2 32.0 6.8 –183.0
Ar 39.9 6.4 –185.9
Cl2 70.9 20.4 –34.0
Br2 159.8 30.0 58.8
44
11.5
• Weaker the IMF the lower the vapor pressure
• Consider a series of atoms and molecules that have only dispersion forces
– As the molar mass increases, enthalpy of vaporization increases
– Larger the molecule, greater the number of electrons, and greater the polarizability
– Greater the surface area available for contact, greater the dispersion forces
45
Enthalpy of Vaporization11.5
• If the molar masses are similar:
– Molecule with the greater IMF will have the higher boiling point
• In each pair below, the molecule that is polar has the higher boiling point
46
Quantitative Comparison of IMFs11.5
Nonpolar Polar Molar mass
(g/mol)
Boiling point
(°C)
Molar mass
(g/mol)
Boiling point
(°C)
N2 28 –196 CO 28 –192
SiH4 32 –112 PH3 34 –88
GeH4 77 –90 AsH3 78 –62
Br2 160 59 ICl 162 97
47
Summary of IMF in descending Order
Type of interaction Factors Responsible for Example
Interaction
Ion-Ion Charge of the ion, 400-4000 kJ/mol K+ and Cl-
Ion–dipole Ion charge, magnitude of dipole,
40-600 kJ/mol
K+ in H2O
Hydrogen bonding Very polar X-H bond to atom Y
(X,Y = F,N,O), 10-40 kJ/mol
H2O–H2O
Dipole–dipole Dipole moment, 5-25 kJ/mol CH2Cl2–CH2Cl2
Dipole-induced
dipole
Dipole moment of polar molecule &
polarizability of nonpolar molecule,
2-10 kJ/mol
O2–H2O
Induced dipole–
induced dipole (LDF)
Polarizability, 0.05-40 kJ/mol Br2–Br2
11.5
Interacting particles
Are polar
molecules
involved?
Are ions
involved?
Are polar
molecules
involved?
Are Hydrogen
atoms bonded to O,
N or F involved?
London
forces
(induced
dipoles)
Dipole–
dipole
forces
Hydrogen
bonding
Ion–dipole
forces
Ionic
bonding
No
No No
No Yes
Yes
Yes
Concept Map - IMFs
48
11.5