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Announcements
Homework 27 and Homework 27 answers willbe available on Blackboard after lecture.
Quiz IX next time. Exam V will be returned at the end of lecture.
Your course-to-date percentage will beavailable on Blackboard under the heading
3rd% after lecture.
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Recap
The forces of attraction that give liquids and solids their fixed
volumes are called intermolecular forces.
Intermolecular forces are forces of attraction between
molecules or between molecules and ions.
There are four types of intermolecular forces, also known as
van der Waals forces:
Ion-dipole forces
Dipole-dipole forces
Hydrogen bonds
London dispersion forces
The relative strengths of the intermolecular forces:
Ion-dipole > H-bond > dipole-dipole > London dispersion
A substances boiling point is a measure of the strength of itsintermolecular forces.
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London Dispersion Forces London dispersion forces are the attractive forces between nonpolar
molecules.
CO2 or Br2
All atoms and molecules exhibit London dispersion forces. Because they arise from induced dipoles, London dispersion forces
are the weakest intermolecular forces.
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London Dispersion Force Strength
The relative strength of the London dispersion force
depends on thepolarizability of the molecule.
Polarizability is the ease with which a moleculeselectron cloud is distorted by a nearby electric field.
The greater the polarizability, the greater the London
dispersion force strength.
Polarizability correlates with molar mass.
London dispersion force polarizability molar mass
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Rank Br2, F2,
and I2according to
increasing
Londondispersion
force strength.
I2
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Ranking of Intermolecular Forces
The relative strengths of the intermolecular forces:
Ion-dipole > H-bond > dipole-dipole > London dispersion
A substances boiling point is a measure of the strength of its
intermolecular forces.
As intermolecular force strength increases, boiling point
increases.
This same trend is observed in melting points.
Formula Intermolecular Force Boiling Point (oC)
O2 London -183
HCl Dipole-dipole -85NH3 H-bond -33
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Rank the following compounds
according to increasing boiling point:CO2, H2O, and SO2.
CO2
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Liquids, Solids, and
Phase Changes
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Viscosity Viscosity is a measure of a liquids resistance to flow.
Van der Waals force strength: glycerol > water > ethanol >
benzene > pentane
Viscosity van der Waals force strength
Viscosity particle size
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Types of Solids
At their broadest level, solids can be classified
as either crystalline or amorphous.
Crystalline solids are those whose atoms, ions,or molecules have an ordered arrangementextending over a long range.
E.g., iron, table salt, ice, and diamond.
Amorphous solids are those whose constituent
parts are randomly arranged and have no long-range order.
Rubber
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Types of Crystalline Solids
Crystalline solids can be subclassified as:
Metallic
Ionic Molecular
Covalent network The different subtypes of crystalline solids
have different forces of attraction between the
particles.
Because they have different forces of
attraction, different subtypes of crystallinesolids have different physical properties.
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Metallic Solids
Metallic solids are the simplest examples of
crystalline solids because their constituent particles
are atoms, which can be approximated as spheres.
How can spheres be packed together in an ordered
arrangement that extends over a long range?
There are four typically observed results: Simple cubic packing
Body-centered cubic packing
Hexagonal closest packing
Cubic closest packing
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Unit Cells
Because these crystalline solids exhibit long-range
order, it isnt necessary to know what the extended
solid looks like.
Knowing the arrangement of the fundamental unit
that is repeated to compose the overall solid is
enough. The unit cell is the fundamental repeating unit that
makes up the overall solid.
There are three cubic unit cells:
Primitive cubic
Body-centered cubic Face-centered cubic
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Primitive and Body-Centered
Cubic Unit Cells
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Face-Centered Cubic Unit Cells
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Metallic Solids Summary There are two important variables that describe each packing type:
Number of nearest neighbors (aka coordination number): the number of other
atoms adjacent to any particular atom.
Packing efficiency: the percentage of unit cell volume occupied by atoms.
Conclusion: Particles pack together in solids as closely as possible,
maximizing their interparticle attractions.
Packing Type Unit Cell
Number of
Nearest
Neighbors
Packing
Efficiency
Number of
Metals with
Packing Type
Simple cubic Primitive cubic 6 52% 1
Body-centered
cubic
Body-centered
cubic8 68% 16
Hexagonalclosest
12 74% 21
Cubic closestFace-centered
cubic12 74% 18
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What Bonding in Metallic Solids Isnt
Metallic bonds cant be ionic.
Metals can readily lose electrons to satisfy the octet
rule, but they cant gain enough electrons to do so.Na+ is possible. Na7- is not.
Metallic bonds cant be localized or metals wouldnt
be malleable (capable of being beaten into shapes). At the atomic level, being beaten into new shapes
means moving atoms around, distorting the packing
arrangement.
If metallic bonds were localized, distorting the
packing arrangement would amount to breakingbonds, which requires an enormous amount of energy.
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What Bonding in Metallic Solids Is Metallic bonds involve delocalized sharing of electrons.
Molecular orbital theory is best at describing delocalized sharing of
electrons.
Increasing the number of interacting atoms increases the number of MOs. As the number of MOs increases, the energy differences between the MOs
decreaes.
(Conduction band)
(Valence band)
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Conductors, Insulators, and
Semiconductors In conductors such as metals, the conduction and valence bands overlap.
In insulators, the gap between the valence and conduction bands is too
great to be spanned.
In semiconductors, the gap between the valence and conduction bands is
small enough that it can be spanned by reasonably sized electric potentials.
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Ionic Solids
Like metallic solids, the particles that compose
ionic solids can be approximated as spheres.
Unlike metallic solids, the particles thatcompose ionic solids (cations and anions) have
charges and different sizes. Because of their charges, the nearest neighbors
of each cation will be anions, and vice versa.
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Sodium Chloride Unit Cell
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Bonding and Properties Ionic Solids
Ionic solids have high melting points because
melting somewhat overcomes the very strong
ionic bonds. Ionic solids are electrical nonconductors
because the ions are essentially fixed in place.
Ionic solids are hard because distorting the
solid requires moving ionsovercoming the
ionic bonds.
Ionic solids are brittle because when ions are
moved, strong repulsions result.
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Molecular Solids
Molecular solids are held together by van der
Waals forces.
Because van der Waals forces are typicallyweaker than metallic or ionic bonds, molecular
solids tend to be soft, easily deformed, and
possessed of low melting points.
Because there are no charged species and the
attractions are between molecules, molecular
solids are typically nonconductors.
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Ice Lattice Structure Solid water is held together by hydrogen bonds.
The hydrogen bonds cause water to have a hexagonal symmetry
because a hexagonal arrangement maximizes the hydrogen bonding
attractions.
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Covalent Network Solids
Covalent network solids are held together by
covalent bonds.
Since covalent bonds are strong and localized,covalent network solids tend to be hard, high
melting, electrical nonconductors.
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Graphite and Diamond Lattice
Structures
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Summary of Crystalline Solids and
Their Properties
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What inter-
particleforces
maintain
solid
krypton?
Ion-ionfo
rce
Ion-dipolef
orc
Hydrogenb
on
Dipole-dipolefor
Londondispers
ion.
Metallicb
on
Covalentbon
0% 0% 0% 0%0%0%0%
a. Ion-ion forces
b. Ion-dipole forces
c. Hydrogen bondsd. Dipole-dipole forces
e. London dispersion forces
f. Metallic bondsg. Covalent bonds
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Phase Changes
Phase changes, or changes of state, are changes in thephysical form of a substance that leave its chemical
identity intact.
E.g., boiling water converts liquid water into gaseous
water.
The names of the various phase changes: Fusion (melting): solid to liquid
Freezing: liquid to solid
Vaporization: liquid to gas Condensation: gas to liquid
Sublimation: solid to gas
Deposition: gas to solid
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Enthalpy, Entropy, & Phase Changes
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Energetics of Phase Changes
How much heat is required to convert 1.00 mol of H2O at -25.0 to 125.0 oC?
1. Heat ice from -25.0 oC to 0.0 oC.
q1 = nCH2O(s)T
q1 = (1.00 mol)(0.03657 kJ/molo
C)(0.0 25.0o
C) = 0.914 kJ2. Melt ice at 0.0 oC.
q2 = nHfusion = (1.00 mol)(6.01 kJ/mol) = 6.01 kJ
3. Heat liquid water from 0.0 oC to 100.0 oC.
q3 = nCH2O(l)T
q3 = (1.00 mol)(0.0754 kJ/moloC)(100.0 0.0 oC) = 7.54 kJ
4. Boil water at 100.0 oC.
q4 = nHvap = (1.00 mol)(40.67 kJ/mol) = 40.67 kJ
5. Heat steam from 100.0 oC to 125.0 oC.
q5 = nCH2O(g)T
q5 = (1.00 mol)(0.0331 kJ/moloC)(125.0 100.0 oC) = 0.828 kJqtotal = q1 + q2 + q3 + q4 + q5 = 55.96 kJ
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Heating Curve for 1 mol of H2O
l l l i f
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Molecular-Level Interpretation of
H2O Heating Curve Temperature changes when heating or cooling within a phase. Ergo,
particle kinetic energy (molecular speed) is changing.
Temperature is constant during a phase change. Thus, potential energy(intermolecular force) is changing.
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Evaporation Why will a glass of water left out on a table eventually evaporate
completely, without being heated?
At a given temperature, the molecules in the water have a distribution of
speeds, some of which are great enough to allow the molecules to escape
the liquid phase.
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Evaporation and Vapor Pressure
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Vapor Pressure
Vapor pressure (Pvap) is the pressure exerted bya vapor over its liquid.
What factors affectvapor pressure?
Vapor pressure T
Vapor pressure 1/van der Waals force strength
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Clausius-Clapeyron Equation The relationship between vapor pressure and temperature is given
by the Clausius-Clapeyron equation:
lnPvap = -(Hvap/R)(1/T) + C
The Clausisus-Clapeyron equation has the form of a straight line.
y = mx + b
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Clausius-Clapeyron Equation Example
When data is scarce, a two-point version of theClausius-Clapeyron equation may be used:
ln(P2/P1) = -(
Hvap/R)(1/T2 1/T1)
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ln(P2/P1) = -(Hvap/R)(1/T2 1/T1)
Butane lighters typically contain a mixture of liquid and
vapor. At 25 oC the vapor pressure of butane is 2.3 atm.
What is the pressure in the container at 150 oC? (The
Hvap of butane is 24.3 kJ/mol.)
2.90at
6.66at
18.1at
41.6at
0% 0%0%0%
a. 2.90 atm
b. 6.66 atmc. 18.1 atm
d. 41.6 atm
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Vapor Pressure and Boiling Point
The boiling point is the temperature at which the vaporpressure equals the external pressure.
The normal boiling pointis the temperature at which the
vapor pressure equals an external pressure of 1 atm.
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Summary
Viscosity van der Waals force strength; viscosity particle size
Most metallic solids exhibit hexagonal closest or cubic closest packing
because doing so packs the atoms as closely together as possible,
maximizing interparticle attractions.
Metallic bonds involve delocalized sharing of electrons, which is best
described as bands of MOs.
Ionic solids pack similarly to metals, except that the particles that
compose ionic solids (cations and anions) have charges and differentsizes.
Molecular solids are held together by van der Waals forces.
Covalent network solids are held together by covalent bonds. Phase changes, or changes of state, are changes in the physical form of
a substance that leave its chemical identity intact.
Vapor pressure is the pressure exerted by a vapor over its liquid.
The relationship between vapor pressure and temperature is given by
h l i l i l ( / )( / )