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Chapter 10 - Liquids and Solids

10.1 - Intermolecular Forces

  • Remember that temperature is a measure of the random motions of the particles in a substance

  • If energy is added, the motions of the molecules increase, and they eventually achieve the greater movement and disorder characteristic of liquid water

  • Dipole-dipole forces are forces that act between a polar molecule

    • Molecules with dipole moments can attract each other electrostatically by lining up so that the positive and negative ends are close to each other

    • Dipole-dipole forces are typically only about 1% as strong as covalent or ionic bonds, and they rapidly become weaker as the distance between the dipoles increases

    • Strong dipole forces are seen among molecules in which hydrogen is bound to a highly electronegative atom, such as nitrogen, oxygen, or fluorine

    • Two factors account for the strengths of these interactions: the great polarity of the bond and the close approach of the dipoles

  • Hydrogen bonding has a very important effect on physical properties

    • One factor is the relatively large electronegativity values of the lightest elements in each group,

    • The second factor is the small size of the first element of each group

    • Hydrogen bonding is also important in organic molecules

    • The alcohols methanol and ethanol have much higher boiling points than would be expected from their molar masses because of the polar O---H bonds in these molecules, which produce hydrogen bonding

  • London dispersion forces: Forces that exist among noble gas atoms and non-polar molecules

  • The dispersion forces in molecules with large atoms are quite significant and are often actually more important than dipole-dipole forces

10.2 - The Liquid State

  • Liquids exhibit many characteristics that help us understand their nature. We have already mentioned their low compressibility, lack of rigidity and high density compared with gases

  • Many of the properties of liquids give us direct information about the forces that exist among the particles

  • For a given volume, a sphere has a smaller surface area than any other shape

  • Surface tension: The resistance of a liquid to an increase in its surface area

  • A non-polar liquid such as mercury shows a convex meniscus

  • The characteristic of a liquid, in which the cohesive forces, are stronger than the adhesive forces toward the glass

    • Another property of liquids strongly dependent on intermolecular forces is viscosity, a measure of a liquid’s resistance to flow

    • Molecular complexity leads to higher viscosity because very large molecules can become entangled with each other

  • The liquid state has strong intermolecular forces and significant molecular motions

  • As a starting point, a typical liquid might best be viewed as containing a large number of regions where the arrangements of the components are similar to those found in the solid, but with more disorder, and a smaller number of regions where holes are present

  • We can use a relatively simple model for gases

10.3 - An Introduction to Structures and Types of Solids

  • Crystalline solids: Highly regular arrangement of their component

  • Amorphous solids: Considerable disorder in their structures.

  • The positions of the components in a crystalline solid are usually represented by a lattice

    • A particular lattice can be generated by repeating the unit cell in all three dimensions to form the extended structure

    • The smallest repeating unit of the lattice is called the unit cell

    • The structures of crystalline solids are most commonly determined by X-ray diffraction

    • Diffraction is due to constructive interference when the waves of parallel beams are in phase and to destructive interference when the waves are out of phase

    • Diffractometer: A computer-controlled instrument used for carrying out the X-ray analysis of crystals

  • There are many different types of crystalline solids

    • When solid sodium chloride dissolves in the polar water, sodium and chloride ions are distributed throughout the resulting solution and are free to conduct electric current

    • Table sugar, on the other hand, is composed of neutral molecules that are dispersed throughout the water when the solid dissolves

  • The third type of solid is represented by elements such as carbon, boron, silicon, and all metals

  • These substances all have atoms at the lattice points that describe the structure of the solid

  • In the Group 8A solids, the noble gas elements are attracted to each other with London dispersion forces

  • The internal forces in a solid determine the properties of the solid

10.4 - Structure and Bonding in Metals

  • Metals are characterized by high thermal and electrical conductivity, malleability, and ductility

  • The closest packing model for metallic crystals assumes that metal atoms are uniform, hard spheres.

  • Knowing the net number of spheres (atoms) in a particular unit cell is important for many applications involving solids

  • Examples of metals that form cubic closest packed solids are aluminum, iron, copper, cobalt, and nickel.

  • Malleable: Can be pounded into thin sheets

  • Ductile: Can be drawn to form a wire

  • A related model that gives a more detailed view of the electron energies and motions is the band model, or molecular orbital (MO) model, for metals

    • In this model, the electrons are assumed to travel around the metal crystal in molecular orbitals formed from the valence atomic orbitals of the metal atoms

  • The existence of empty molecular orbitals close in energy to filled molecular orbitals explains the thermal and electrical conductivity of metal crystals

  • Metals conduct electricity and heat very efficiently because of the availability of highly mobile electrons

  • Alloy: a substance that contains a mixture of elements and has metallic properties

    • In a substitutional alloy, some of the host metal atoms are replaced by other metal atoms of similar size.

    • An interstitial alloy is formed when some of the interstices (holes) in the closest packed metal structure are occupied by small atoms

10.5 - Carbon and Silicon: Network Atomic Solids

  • Many atomic solids contain strong directional covalent bonds to form a solid that might best be viewed as a “giant molecule”

  • The two most common forms of carbon, diamond, and graphite, are typical network solids

  • In diamond, the hardest naturally occurring substance, each carbon atom is surrounded by a tetrahedral arrangement of other carbon atoms to form a huge molecule

    • In the energy-level diagram for diamond, there is a large gap between the filled and the empty levels

  • Silicon is also an important constituent of the compounds that make up the earth’s crust

    • Silicon compounds are fundamental to most of the rocks, sands, and soils

    • Like glass, ceramics are based on silicates, but with that, the resemblance ends

  • We can enhance the conductivity of silicon by doping the crystal with an element such as boron, which has only three valence electrons, one less than silicon

  • A ceramic contains two phases: minute crystals of silicates that are suspended in glassy cement.

  • Ceramics seem an obvious choice for constructing jet and automobile engines in which the greatest fuel efficiencies are possible at very high temperatures

    • But, ceramics are brittle—they break rather than bend—which limits their usefulness

  • Electrons must be in singly occupied molecular orbitals to conduct a current

  • The p–n junction has revolutionized electronics; modern solid-state components contain p–n junctions in printed circuit

10.6 - Molecular Solids

  • There are many types of solids that contain discrete molecular units at each lattice position

  • A common example is an ice, where the lattice positions are occupied by water molecules

  • These substances are characterized by strong covalent bonding within the molecules but relatively weak forces between the molecules.

  • The forces that exist among the molecules in a molecular solid depend on the nature of the molecules

  • Water molecules are particularly well suited to interact with each other because each molecule has two polar O--H bonds and two lone pairs on the oxygen atom

    • This can lead to the association of four hydrogen atoms with each oxygen: two by covalent bonds and two by dipole forces

10.7 - Ionic Solids

  • Ionic solids are stable, high-melting substances held together by the strong electrostatic forces that exist between oppositely charged ions

  • The larger ions, usually the anions, are packed in one of the closest packing arrangements

  • The smaller cations fit into holes among the closest packed anions

  • trigonal holes are formed by three spheres in the same layer

    • Tetrahedral holes are formed when a sphere sits in the dimple of three spheres in an adjacent layer

  • Octahedral holes are formed between two sets of three spheres in adjoining layers of the closest packed structures

  • Closest packed structures contain the same number of octahedral holes as packed spheres

  • the most useful model for explaining the structures of these solids regards the ions as hard spheres that are packed to maximize attractions and minimize repulsions

10.8 - Vapor Pressure and Changes of State

  • One of the most important roles that water plays in our world is to act as a coolant

  • The vaporization of water is crucial to the body’s temperature-control system through the evaporation of perspiration

    • Equilibrium: No further net change occurs in the amount of liquid or vapor because the two opposite processes exactly balance each other

    • There is no net change because the two opposite processes just balance each other

    • The pressure of the vapor present at equilibrium is called the vapor pressure of the liquid

    • When the system reaches equilibrium, the vapor pressure can be determined from the change in the height of the mercury column

    • Measurements of the vapor pressure for a given liquid at several temperatures show that vapor pressure increases significantly with temperature

  • The melting and boiling points for a substance are determined by the vapor pressures of the solid and liquid states

  • Sublimation: A process in which a substance goes directly from the solid to the gaseous state

  • Heating curve: A plot of temperature versus time for a process where energy is added at a constant rate

  • Ionic solids such as NaCl and NaF have very high melting points and enthalpies of fusion because of the strong ionic forces in these solids

  • The changes of state are physical changes; although intermolecular forces have been overcome, no chemical bonds have been broken

10.9 - Phase Diagrams

  • A phase diagram is a convenient way of representing the phases of a substance as a function of temperature and pressure

  • The phase diagram for water shows which state exists at a given temperature and pressure

    • It describes conditions and events in a closed system of the type represented, where no material can escape into the surroundings and no air is present

  • The melting point of ice decreases as the external pressure increase

    • The maximum density of water occurs at 4°C; when liquid water freezes, its volume increases

    • When water freezes in a pipe or an engine block, it will expand and break the container.

    • This is why water pipes are insulated in cold climates and antifreeze is used in water-cooled engines.

    • The lower density of ice also means that ice formed on rivers and lakes will float, providing a layer of insulation that helps prevent bodies of water from freezing solid in the winter

  • Liquid carbon dioxide released from the extinguisher into the environment at 1 atm immediately changes to a vapor

  • Critical temperature: The temperature above which the vapor cannot be liquefied no matter the applied pressure

  • Critical pressure: The pressure required to produce liquefaction at the critical temperature

GJ

Chapter 10 - Liquids and Solids

10.1 - Intermolecular Forces

  • Remember that temperature is a measure of the random motions of the particles in a substance

  • If energy is added, the motions of the molecules increase, and they eventually achieve the greater movement and disorder characteristic of liquid water

  • Dipole-dipole forces are forces that act between a polar molecule

    • Molecules with dipole moments can attract each other electrostatically by lining up so that the positive and negative ends are close to each other

    • Dipole-dipole forces are typically only about 1% as strong as covalent or ionic bonds, and they rapidly become weaker as the distance between the dipoles increases

    • Strong dipole forces are seen among molecules in which hydrogen is bound to a highly electronegative atom, such as nitrogen, oxygen, or fluorine

    • Two factors account for the strengths of these interactions: the great polarity of the bond and the close approach of the dipoles

  • Hydrogen bonding has a very important effect on physical properties

    • One factor is the relatively large electronegativity values of the lightest elements in each group,

    • The second factor is the small size of the first element of each group

    • Hydrogen bonding is also important in organic molecules

    • The alcohols methanol and ethanol have much higher boiling points than would be expected from their molar masses because of the polar O---H bonds in these molecules, which produce hydrogen bonding

  • London dispersion forces: Forces that exist among noble gas atoms and non-polar molecules

  • The dispersion forces in molecules with large atoms are quite significant and are often actually more important than dipole-dipole forces

10.2 - The Liquid State

  • Liquids exhibit many characteristics that help us understand their nature. We have already mentioned their low compressibility, lack of rigidity and high density compared with gases

  • Many of the properties of liquids give us direct information about the forces that exist among the particles

  • For a given volume, a sphere has a smaller surface area than any other shape

  • Surface tension: The resistance of a liquid to an increase in its surface area

  • A non-polar liquid such as mercury shows a convex meniscus

  • The characteristic of a liquid, in which the cohesive forces, are stronger than the adhesive forces toward the glass

    • Another property of liquids strongly dependent on intermolecular forces is viscosity, a measure of a liquid’s resistance to flow

    • Molecular complexity leads to higher viscosity because very large molecules can become entangled with each other

  • The liquid state has strong intermolecular forces and significant molecular motions

  • As a starting point, a typical liquid might best be viewed as containing a large number of regions where the arrangements of the components are similar to those found in the solid, but with more disorder, and a smaller number of regions where holes are present

  • We can use a relatively simple model for gases

10.3 - An Introduction to Structures and Types of Solids

  • Crystalline solids: Highly regular arrangement of their component

  • Amorphous solids: Considerable disorder in their structures.

  • The positions of the components in a crystalline solid are usually represented by a lattice

    • A particular lattice can be generated by repeating the unit cell in all three dimensions to form the extended structure

    • The smallest repeating unit of the lattice is called the unit cell

    • The structures of crystalline solids are most commonly determined by X-ray diffraction

    • Diffraction is due to constructive interference when the waves of parallel beams are in phase and to destructive interference when the waves are out of phase

    • Diffractometer: A computer-controlled instrument used for carrying out the X-ray analysis of crystals

  • There are many different types of crystalline solids

    • When solid sodium chloride dissolves in the polar water, sodium and chloride ions are distributed throughout the resulting solution and are free to conduct electric current

    • Table sugar, on the other hand, is composed of neutral molecules that are dispersed throughout the water when the solid dissolves

  • The third type of solid is represented by elements such as carbon, boron, silicon, and all metals

  • These substances all have atoms at the lattice points that describe the structure of the solid

  • In the Group 8A solids, the noble gas elements are attracted to each other with London dispersion forces

  • The internal forces in a solid determine the properties of the solid

10.4 - Structure and Bonding in Metals

  • Metals are characterized by high thermal and electrical conductivity, malleability, and ductility

  • The closest packing model for metallic crystals assumes that metal atoms are uniform, hard spheres.

  • Knowing the net number of spheres (atoms) in a particular unit cell is important for many applications involving solids

  • Examples of metals that form cubic closest packed solids are aluminum, iron, copper, cobalt, and nickel.

  • Malleable: Can be pounded into thin sheets

  • Ductile: Can be drawn to form a wire

  • A related model that gives a more detailed view of the electron energies and motions is the band model, or molecular orbital (MO) model, for metals

    • In this model, the electrons are assumed to travel around the metal crystal in molecular orbitals formed from the valence atomic orbitals of the metal atoms

  • The existence of empty molecular orbitals close in energy to filled molecular orbitals explains the thermal and electrical conductivity of metal crystals

  • Metals conduct electricity and heat very efficiently because of the availability of highly mobile electrons

  • Alloy: a substance that contains a mixture of elements and has metallic properties

    • In a substitutional alloy, some of the host metal atoms are replaced by other metal atoms of similar size.

    • An interstitial alloy is formed when some of the interstices (holes) in the closest packed metal structure are occupied by small atoms

10.5 - Carbon and Silicon: Network Atomic Solids

  • Many atomic solids contain strong directional covalent bonds to form a solid that might best be viewed as a “giant molecule”

  • The two most common forms of carbon, diamond, and graphite, are typical network solids

  • In diamond, the hardest naturally occurring substance, each carbon atom is surrounded by a tetrahedral arrangement of other carbon atoms to form a huge molecule

    • In the energy-level diagram for diamond, there is a large gap between the filled and the empty levels

  • Silicon is also an important constituent of the compounds that make up the earth’s crust

    • Silicon compounds are fundamental to most of the rocks, sands, and soils

    • Like glass, ceramics are based on silicates, but with that, the resemblance ends

  • We can enhance the conductivity of silicon by doping the crystal with an element such as boron, which has only three valence electrons, one less than silicon

  • A ceramic contains two phases: minute crystals of silicates that are suspended in glassy cement.

  • Ceramics seem an obvious choice for constructing jet and automobile engines in which the greatest fuel efficiencies are possible at very high temperatures

    • But, ceramics are brittle—they break rather than bend—which limits their usefulness

  • Electrons must be in singly occupied molecular orbitals to conduct a current

  • The p–n junction has revolutionized electronics; modern solid-state components contain p–n junctions in printed circuit

10.6 - Molecular Solids

  • There are many types of solids that contain discrete molecular units at each lattice position

  • A common example is an ice, where the lattice positions are occupied by water molecules

  • These substances are characterized by strong covalent bonding within the molecules but relatively weak forces between the molecules.

  • The forces that exist among the molecules in a molecular solid depend on the nature of the molecules

  • Water molecules are particularly well suited to interact with each other because each molecule has two polar O--H bonds and two lone pairs on the oxygen atom

    • This can lead to the association of four hydrogen atoms with each oxygen: two by covalent bonds and two by dipole forces

10.7 - Ionic Solids

  • Ionic solids are stable, high-melting substances held together by the strong electrostatic forces that exist between oppositely charged ions

  • The larger ions, usually the anions, are packed in one of the closest packing arrangements

  • The smaller cations fit into holes among the closest packed anions

  • trigonal holes are formed by three spheres in the same layer

    • Tetrahedral holes are formed when a sphere sits in the dimple of three spheres in an adjacent layer

  • Octahedral holes are formed between two sets of three spheres in adjoining layers of the closest packed structures

  • Closest packed structures contain the same number of octahedral holes as packed spheres

  • the most useful model for explaining the structures of these solids regards the ions as hard spheres that are packed to maximize attractions and minimize repulsions

10.8 - Vapor Pressure and Changes of State

  • One of the most important roles that water plays in our world is to act as a coolant

  • The vaporization of water is crucial to the body’s temperature-control system through the evaporation of perspiration

    • Equilibrium: No further net change occurs in the amount of liquid or vapor because the two opposite processes exactly balance each other

    • There is no net change because the two opposite processes just balance each other

    • The pressure of the vapor present at equilibrium is called the vapor pressure of the liquid

    • When the system reaches equilibrium, the vapor pressure can be determined from the change in the height of the mercury column

    • Measurements of the vapor pressure for a given liquid at several temperatures show that vapor pressure increases significantly with temperature

  • The melting and boiling points for a substance are determined by the vapor pressures of the solid and liquid states

  • Sublimation: A process in which a substance goes directly from the solid to the gaseous state

  • Heating curve: A plot of temperature versus time for a process where energy is added at a constant rate

  • Ionic solids such as NaCl and NaF have very high melting points and enthalpies of fusion because of the strong ionic forces in these solids

  • The changes of state are physical changes; although intermolecular forces have been overcome, no chemical bonds have been broken

10.9 - Phase Diagrams

  • A phase diagram is a convenient way of representing the phases of a substance as a function of temperature and pressure

  • The phase diagram for water shows which state exists at a given temperature and pressure

    • It describes conditions and events in a closed system of the type represented, where no material can escape into the surroundings and no air is present

  • The melting point of ice decreases as the external pressure increase

    • The maximum density of water occurs at 4°C; when liquid water freezes, its volume increases

    • When water freezes in a pipe or an engine block, it will expand and break the container.

    • This is why water pipes are insulated in cold climates and antifreeze is used in water-cooled engines.

    • The lower density of ice also means that ice formed on rivers and lakes will float, providing a layer of insulation that helps prevent bodies of water from freezing solid in the winter

  • Liquid carbon dioxide released from the extinguisher into the environment at 1 atm immediately changes to a vapor

  • Critical temperature: The temperature above which the vapor cannot be liquefied no matter the applied pressure

  • Critical pressure: The pressure required to produce liquefaction at the critical temperature