Ch. 11 Intermolecular Forces, Liquids, and Solids

Gas, Liquid, Solid

Gas                                         Liquid                                      Solid

            Entropy
High                                         Medium                                    Low
            Intermolecular Forces
Negligible                                 Moderate                                 High
            Spacing
Widely spaced                          Close packed                           Close packed
            Motion
Active                                      Active                                      Fixed location

Entropy is often described as "disorder", but is also described as "possible states". High entropy has a high number of possible states, this makes predictions more difficult, hence the term "disorder".

Physical state is a result of a balance between the kinetic energy of the particles and the intermolecular forces.

Intermolecular Forces

Intermolecular Forces (forces that occur between molecules) occur in the condensed states (liquids and solids)

Intermolecular forces are also called cohesive forces 

London Dispersion Forces

Nonpolar molecules also have attractive forces between them. These are called London Dispersion Forces.

Motion of electrons around an atom or molecule can result in a momentary charge separation. This instantaneous dipole can induce a similar dipole in a neighboring atom resulting in an electrostatic attraction. This attraction is weak; however, it can be significant and is more significant for larger molecules and atoms.

Larger atoms and molecules have more electrons and a larger electron "cloud". This results in an increased ability to form instantaneous dipoles (increased polarizability).

The strength of intermolecular forces can be seen in physical properties such as boiling points and melting points. Stronger intermolecular forces result in higher melting points and higher boiling points.

Dipole-Dipole Forces

Molecules with a dipole moment have a charge separation, an area of positive charge and an area of negative charge. These charges interact with the charges on adjacent molecules. The molecules tend to orientate themselves to minimize electrostatic repulsion and maximize electrostatic attraction. This results in a net electrostatic attraction between molecules with dipole moments. This is called Dipole-Dipole Attraction. 

Hydrogen Bonding

A special case of Dipole-Dipole Attraction is called hydrogen bonding. This occurs when hydrogen is bound to a highly electronegative atom (N, O, F). This results in a particularly strong attractive force because of the large polarity combined with the small size of the hydrogen, which allows the molecules to get closer.

Ion-Dipole Forces

Ion-dipole forces are the attractive electrostatic forces that form between an ion and polar molecules. The polar molecules line up the partial charge of opposite polarity with the ion. This creates the attractive force. This force is important for the dissolution of ionic compounds in polar solvents such as water.

Strength of Intermolecular Forces

In order of increasing strength.

Dispersion forces < dipole-dipole forces < hydrogen bonding < ion-dipole forces

The Liquid State

Viscosity

Viscosity is a measure of the liquid's resistance to flow.

Strong intermolecular forces increase a liquids viscosity.

Molecular complexity increases viscosity since complex molecules can become entangled with each other.

Surface Tension

Surface Tension is the resistance of a liquid to increase its surface area. A molecule on the surface of a liquid only has a fraction of the intermolecular attractions that a molecule in the interior of the liquid has. Increasing the surface area requires breaking intermolecular forces.

Stronger intermolecular forces results in stronger surface tension.

Surface tension allows insects to float in the surface of water, and makes liquids form spherical drops.

Capillary Action

Capillary Action is the spontaneous rising of a liquid in a narrow tube.

Capillary Action is the result if the interplay of cohesive forces (within a material) and adhesive forces (the forces between materials).

The curved surface of a liquid in a tube is called the meniscus.

A concave meniscus (high on the sides and low in the center) indicates that the adhesive forces are larger than the cohesive forces

A convex meniscus (high in the center and low on the sides) indicates that the cohesive forces are larger than the adhesive forces.

With strong cohesive forces and stronger adhesive forces, the liquid is pulled up the tube.

Changes of State (Phase Changes)

Heat of Fusion (Enthalpy of Fusion)

Heat of Fusion (Enthalpy of Fusion)(DHfus) is the heat energy required to melt a solid (or the heat released when a liquid freezes). 

Q = n DHfus

Normal Melting Point

When a solid and liquid remain in equilibrium, the temperature remains steady at the melting point.

Vaporization (Evaporation)

The process of liquid becoming gas. This process is endothermic.

Heat of Vaporization (Enthalpy of Vaporization)

Heat of Vaporization (Enthalpy of Vaporization)(DHvap) is the energy required to vaporize a mole of a liquid (or the energy released when the liquid vapor condenses).

Q = n DHvap

Water has a large heat of vaporization at 40.7 kJ/mol

The evaporation of water is commonly used for cooling (swamp coolers for houses, sweating for humans, and cooling towers for power plants)

Sublimation

Some solids also have a measurable vapor pressure.

The process of going from a solid directly to gas is sublimation.

The heat of sublimation (DHsub) is equal to the sum of DHfus + DHvap at the same conditions (temperature and pressure).

Heating Curves

When we heat a solid, the temperature of the solid increases. When the solid starts to melt, the temperature stabilizes at the melting point. After all the solid melts, the temperature of the liquid increases as we continue to add heat. When the liquid starts to boil the temperature stabilizes at the boiling point. After all the liquid has vaporized, then the gas temperature increases as we continue to add heat.

Critical Temperature

The Critical Temperature is the temperature above which the vapor cannot be liquefied (through a phase transition) regardless of the pressure applied

The Critical Temperature is the temperature above which there is no clear transition between vapor and liquid

Critical Pressure

The critical pressure is the pressure required to produce liquefaction at the critical temperature.

Critical Point

The critical point is the set of critical temperature and critical pressure.

Supercritical Fluid

Temperatures or pressures above the critical point are referred to as supercritical.

Vapor Pressure

Vapor Pressure is the pressure of a gas in equilibrium with its liquid state (or solid state).

This equilibrium is when the rate of evaporation is equal to the rate of condensation.

Liquids with high vapor pressures are called volatile, and they evaporate rapidly

Strong intermolecular forces result in a low vapor pressure

Vapor pressure is temperature dependent and increases rapidly with increasing temperature

Boiling

Boiling occurs when the vapor pressure of the liquid is at or above the pressure above the liquid

Normal Boiling Point

The normal boiling point is the temperature at which the vapor pressure of the liquid is exactly 1 atmosphere

Phase Diagrams

A phase diagram represents phases as a function of temperature and pressure

Phase diagrams represent closed systems where no material can escape and no other material is present

As the expression goes, "A picture is worth a thousand words", a phase diagram reveals much information about a material.

Triple Point

The triple point is the one set of temperature and pressure where three states of matter coexist at equilibrium

Applications of the Phase Diagram for Water

The solid-liquid line in the phase diagram for water has a negative slope. Most other substances have a positive slope for this line. For water, this means that the liquid is more dense than the solid.  It also means that increased pressures result in a lower melting point.

Ice sublimes at temperatures below 0C. The phase diagram indicates that ice should not sublime at normal atmospheric pressure. However, we shouldn't look at the atmospheric pressure but at the pressure of the water vapor. As long as the water vapor is below 4.58 torr, then ice can sublime.

The Phase Diagram for Carbon Dioxide

The solid-liquid line for carbon dioxide is positive, this is typical. It indicates that the solid is more dense than the liquid

The triple point occurs at 5.1 atm and –56.6°C

This means that at 1 atm carbon dioxide will transition from solid directly to gas. Dry ice is solid carbon dioxide, which sublimates instead of melting.

The critical point is 72.8 atm and 31°C. Carbon dioxide above the critical point is used to extract various materials referred to as supercritical fluid extraction, and is used as an environmentally friendly dry cleaning agent.

An Introduction to Structures and Types of Solids

Crystalline Solids

A crystalline solid consists of a well-ordered structure. Often crystalline structures exhibit flat surfaces (faces) and definite angles between the faces.

Amorphous Solids

An amorphous solid lacks an orderly structure. Amorphous solids can arise from mixtures, large complicated molecules, or from quick freezing.

For example; glass, primarily silicone dioxide, can be amorphous as is most glass products, or if cooled real slow, can be made into "crystal" (often with other additives to help the crystal formation).

Types of Solids

Molecular Solids

Molecular solids are the solids whose composite units are atoms or molecules held together by intermolecular forces. The intermolecular forces in molecular solids are; hydrogen bonding, dipole-dipole forces, and dispersion forces.

These are relatively weak forces, which results in a soft solid with low to moderate melting points, and poor thermal and electrical conductivity.

Covalent-Network solids [Bonding Atomic Solids]

A lattice network of atoms held together by covalent bonds. This is a very strong arrangement.

These tend to be hard materials with very high melting points, and poor thermal and electrical conductivity.

Example: diamond, quartz.

Ionic Solids

Ionic solids are the solids whose composite units are formula units of ions.

Ionic solids are held together by the attractive forces between positive ions and negative ions.

Ionic solids tend to be hard, brittle, have high melting points, and poor thermal and electrical conductivity

Metallic Solids

The attractive force holding metallic atoms together in a lattice network can be described as positive metal ions in a sea of valence electrons.

The valence electrons are mobile throughout the solid.

The strength of the bonding increases as the number of valence electrons available for bonding increases.

Metallic solids tend to be soft to hard, low to high melting point, and excellent thermal and electrical conductivity

Crystalline Solids

Crystal Lattice

A regular 3-dimensional array of atoms (lattice points) of a crystalline solid.

Unit Cell

The unit cell is the smallest unit of the array that shows the character of the crystalline solid and stacks together to form the solid. The unit cell usually includes fractions of atoms at the corners, edges, and faces.

Types of Unit Cells

There are three common types of unit cells; primitive cubic, body-centered cubic, and face centered cubic.

Primitive cubic

The primitive cubic has identical lattice points (atoms) in each of the eight corners.

Body-centered cubic

The body-centered cubic has identical lattice points (atoms) in each of the eight corners plus another (different) lattice point in the center.

Face Centered cubic

The face-centered cubic has identical lattice points (atoms) in each of the eight corners plus a set of a different set of six identical lattice points centered on each face of the cube.

Close Packing

The closest arrangement of spherical atoms in a three-dimensional structure (such as in metals) results in a 2-dimensional layer with each atom surrounded by 6-atoms.

There are two ways to stack these 2-dimensional layers to make the three dimensional structure. It every other layer lines up, this is the hexagonal close packing. If every third layer lines up, this is the cubic close packing.

In both cases, 12 equally close atoms surround each atom. Each atom has a coordination number of 12.

X-Ray Analysis of Solids

The wavelength of x-rays is approximately the same as the spacing of layers in crystals (about 2 – 20 °A), this causes the regular scattering or diffraction of the x-rays. Interference of the scattered x-rays results in a pattern of light and dark spots of the collector. This information can be analyzed to reveal the structure of the crystal.

 


Equation Summary

Q = n DHfus

Q = n DHvap