11.S: Liquids and Intermolecular Forces (Summary)
- Page ID
- 91241
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)intermolecular forces – forces that exist between molecules
11.1: A Molecular Comparison of Gases, Liquids, and Solids
- gases
- average kinetic energy of the molecules is larger than average energy of attractions between molecules
- lack of strong attractive forces allows gases to expand
- liquids
- denser than gases
- have a definite volume
- attractive forces not strong enough to keep molecules from moving allowing liquids to hold shape of container
- solids
- intermolecular forces hold molecules together and keep them from moving
- not very compressible
- crystalline – solids with highly ordered structures
Gas | assumes both the volume and shape of container is compressible diffusion within a gas occurs rapidly flows readily |
---|---|
Liquid | Assumes the shape of the portion of the container it occupies Does not expand to fill container Is virtually incompressible Diffusion within a liquid occurs slowly Flows readily |
Solid | Retains its own shape and volume Is virtually incompressible Diffusion within a solid occurs extremely slowly Does not flow |
- state of substance depends on balance between the kinetic energies of the particles and interparticle energies of attraction
- kinetic energies depends on temperature and tend to keep particles apart and moving
- interparticle attractions draw particles together
- condensed phases – liquids and solids because particles are close together compared to gases
- increase temperature forces molecules to be closer together ® increase in strength of intermolecular forces
11.2: Intermolecular Forces
- intermolecular forces weaker than ionic or covalent bonds
- many properties of liquids reflect strengths of intermolecular forces
- three types of intermolecular forces: dipole-dipole forces, London dispersion forces, and hydrogen-bonding forces
- also called van der Waals forces
- less than 15% as strong as covalent or ionic bonds
- electrostatic in nature, involves attractions between positive and negative species
11.2.1 Ion-Dipole Forces
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- Ion-Dipole Force – exists between an ion and partial charge at one end of a polar molecule
- Polar molecules are dipoles
- magnitude of attraction increases as either the charge of ion or magnitude of dipole moment increases
11.2.2 Dipole-Dipole Forces
- dipole-dipole force – exists between neutral polar molecules
- effective only when polar molecules are very close together
- weaker than ion-dipole forces
- for molecules of approximately equal mass and size, the strengths of intermolecular attractions increase with increasing polarity
- increase dipole moment ® increase boiling point
11.2.3 London Dispersion Forces
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- interparticle forces that exist between nonpolar atoms or molecules
- motion of electrons can create an instantaneous dipole moment
- molecules have to be very close together
- polarizability – ease in which the charge distribution in a molecule can be distorted
- greater polarizability ® more easily electron cloud can be distorted to give momentary dipole
- larger molecules have greater polarizability
- London dispersion forces increase with increasing molecular size
- Dispersion forces increase in strength with increasing molecular weight
- Molecular shape affects intermolecular attractions
- greater surface contact ® greater boiling point and London dispersion forces
- dispersion forces operate between all molecules
- comparing relative strengths of intermolecular attractions:
- 1) comparable molecular weights and shapes = equal dispersion forces
- differences in magnitudes of attractive forces due to differences in strengths of dipole-dipole attractions
- most polar molecule has strongest attractions
- 2) differing molecular weights = dispersion forces tend to be the decisive ones
- differences in magnitudes of attractive forces associated with differences in molecular weights
- most massive molecular has strongest attractions
11.2.4 Hydrogen Bonding
- hydrogen bonding – special type of intermolecular attraction that exists between the hydrogen atom in a polar bond and an unshared electron pair on a nearby electronegative ion or atom
- hydrogen bond with F, N, and O is polar
- density of ice is lower than that of liquid water
- when water freezes the molecules assume the ordered open arrangement ® makes ice less dense than water
- a given mass of ice has a greater volume than the same mass of water
- structure of ice allows the maximum number of hydrogen bonding interactions to exist
11.2.5 Comparing Intermolecular Forces
- dispersion forces found in all substances
- strengths of forces increase with increases molecular weight and also depend on shape
- dipole-dipole forces add to effect of dispersion forces and found in polar molecules
- hydrogen bonds tend to be strongest intermolecular force
11.3: Some Properties of Liquids
- two properties of liquids: viscosity and surface tension
11.3.1 Viscosity
- viscosity – resistance of a liquid to flow
- the greater the viscosity the more slowly the liquid flows
- measured by timing how long it takes a certain amount of liquid to flow through a thin tube under gravitational forces
- can also be measured by how long it takes steel spheres to fall through the liquid
- viscosity related to ease with which individual molecules of liquid can move with respect to one another
- depends on attractive forces between molecules, and whether structural features exist to cause molecules to be entangled
- viscosity decreases with increasing temperature
11.3.2 Surface Tension
- surface tension – energy required to increase the surface area of a liquid by a unit amount
- surface tension of water at 20° C is 7.29 x 10-2 J/m2
- 7.29 x 10-2 J/m2 must be supplied to increase surface area of a given amount of water by 1 m2
- cohesive forces – intermolecular forces that bind similar molecules
- adhesive forces – intermolecular forces that bind a substance to a surface
- capillary action – rise of liquids up very narrow tubes
11.4: Phase Changes
11.4.1 Energy Changes Accompanying Phase Changes
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- phase changes require energy
- phase changes to less ordered state requires energy
- melting process of solid called fusion
- heat of fusion – enthalpy change of melting a solid
- D Hfus water = 6.01 kJ/mol
- heat of vaporization – heat needed for vaporization of liquid
- D Hvap water = 40.67 kJ/mol
- melting, vaporization, and sublimation are endothermic
- freezing, condensation, and deposition are exothermic
11.4.2 Heating Curves
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- heating curve – graph of temperature of system versus the amount of heat added
- used to calculate enthalpy changes
- supercooled water – when water if cooled to a temperature below 0° C
11.4.3 Critical Temperature and Pressure
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- critical temperature – highest temperature at which a substance can exist as a liquid
- critical pressure – pressure required to bring about liquefaction at critical temperature
- the greater the intermolecular attractive forces, the more readily gases liquefy ® higher critical temperature
- cannot liquefy a gas by applying pressure if gas is above critical temperature
11.5: Vapor Pressure
vapor pressure – measures tendency of a liquid to evaporate
11.5.1 Explaining Vapor Pressure on the Molecular Level
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- dynamic equilibrium – condition when two opposing processes are occurring simultaneously at equal rates
- vapor pressure of a liquid is the pressure exerted by its vapor when the liquid and vapor states are in dynamic equilibrium
11.5.2 Volatility, Vapor Pressure, and Temperature
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- volatile – liquids that evaporate readily
- vapor pressure increases with increasing temperature
11.5.3 Vapor Pressure and Boiling Point
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- liquids boil when its vapor pressure equals the external pressure acting on the surface of the liquid
- temperature of boiling increase with increasing external pressure
- normal boiling point – boiling point of a liquid at 1 atm
- higher pressures cause water to boil at higher temperatures
11.6: Phase Diagrams
- phase diagrams – graphical way to summarize conditions under which equilibria exist between the different states of matter
- three important curves:
- 1) vapor pressure curve of liquid
- shows equilibrium of liquid and gas phases
- normal boiling point = point on curve where pressure at 1 atm
- 2) variation in vapor pressure of solid at it sublimes at different temperatures
- 3) change in melting point of solid with increasing pressure
- slopes right as pressure increases
- higher temperatures needed to melt solids at higher pressures
- melting point of solid identical to freezing point
- differ only in temperature direction from which phase change is approached
- melting point at 1 atm is the normal melting point
- triple point – point at which all three phases are at equilibrium
- gas phase stable at low pressures and high temperatures
- solid phase stable at low temperatures and high pressures
- liquid phase – stable between gas and solids
11.6.1 the Phase diagrams of H2O and CO2
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- melting point of CO2 increases with increasing pressure
- melting point of H2O decreases with increasing pressure
- triple point of H2O (0.0098° C and 4.58 torr) at lower pressure than CO2 (-56.4° C and 5.11 atm)
- solid CO2 does not melt but sublimes
- CO2 does not have a normal melting point but a normal sublimation point
- CO2 absorbs energy at ordinary temperatures
11.7: Structure of Solids
- crystalline solid – solid whose atoms, ion, or molecules are ordered in well-defined arrangements
- flat surfaces or faces that make definite angles
- regular shapes
- amorphous solid – solid whose particles have no orderly structure
- lack well-defined faces and shapes
- mixtures of molecules that do not stack together well
- large, complicated molecules
- intermolecular forces vary in strength
- does not melt at a specific temperature but soften over a temperature range
11.7.1 Unit Cell
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- unit cell – repeating unit of a solid
- crystal lattice – three-dimensional array of points, each representing an identical environment within the crystal
- three types of cubic unit cell: primitive cubic, body-centered cubic, and face-centered cubic
- primitive cubic – lattice points at corners only
- body-centered cubic – lattice points at corners and center
- face-centered cubic – lattice points at center of each face and at each corner
11.7.2 The Crystal structure of Sodium Chloride
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- total cation-to-anion ratio of a unit cell must be the same as that for entire crystal
11.7.3 Close Packing of Spheres
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- structures of crystalline solids are those that bring particles in closest contact to maximize the attractive forces
- most particles that make up solids are spherical
- two forms of close packing: cubic close packing and hexagonal close packing
- hexagonal close packing – spheres of the third layer that are placed in line with those of the first layer
- coordination number – number of particles immediately surrounding a particle in the crystal structure
- both forms of close packing have coordination number of 12
11.8: Bonding in Solids
Type of Solid | Forms of Unit Particles | Forces Between Particles | Properties | Examples |
---|---|---|---|---|
Molecular | Atoms of molecules | London dispersion, dipole-dipole forces, hydrogen bonds | Fairly soft, low to moderately high melting point, poor thermal and electrical conduction | Argon, methane, sucrose, dry ice |
Covalent-network | Atoms connected in a network of covalent bonds | Covalent bonds | Very hard, very high melting point, often poor thermal and electrical conduction | Diamond, quartz |
Ionic | Positive and negative ions | Electrostatic attractions | Hard and brittle, high melting point, poor thermal and electrical conduction | Typical salts |
Metallic | atoms | Metallic bonds | Soft to very hard, low to very high melting point, excellent thermal and electrical conduction, malleable and ductile | All metallic elements |
11.8.1 Molecular Solids
- molecular solids – atoms or molecules held together by intermolecular forces
- soft, low melting points
- gases or liquids at room temperature from molecular solids at low temperature
- properties depends on strengths of forces and ability of molecules to pack efficiently in three dimensions
- intermolecular forces that depend on close contact are not as effective
11.8.2 Covalent-Network Solids
- covalent-network solids – atoms held together in large networks or chains by covalent bonds
- hard, high melting points
11.8.3 Ionic Solids
- ionic solids – ions held together by ionic bonds
- strength depends on charges of ions
- structure of ionic solids depends on charges and relative sizes of ions
11.8.4 Metallic Solids
- metallic solids – metal atoms
- usually have hexagonal close-packed, cubic close-packed, or body-centered-cubic structures
- each atom has 8 or 12 adjacent atoms
- bonding due to valence electrons that are delocalized throughout entire solid
- strength of bonding increases as number of electrons available for bonding increases
- mobility of electrons make metallic solids good conductors of heat and electricity