Chapter 13States of Matter

The Nature of Gases

Kinetic Kinetic – means motion

Kinetic EnergyKinetic Energy – the energy an object has because of its motion.

Kinetic TheoryKinetic Theory – all matter consists of tiny particles that are in constant motion.

Kinetic Theory as Applied to Gases

1.The particles in a gas are considered to be small, hard spheres with an insignificant volume. • Between particles in a gas there is empty space. • No attractive or repulsive forces exist between the

particles.

Fundamental assumptions about gases:

Kinetic Theory as Applied to Gases

2.The motion of the particles in a gas is rapid, constant, and random. • Gases fill their container regardless of the shape

and volume of the container. • Particles travel in straight-line paths until they collide

with another particle or another object such as the wall of their container.

Fundamental assumptions about gases:

Kinetic Theory as Applied to Gases

• At this speed, the odor from a hot pizza in Washington, D.C., should reach Mexico city in about 115 minutes. Does this happen?

• No, the odor molecules are constantly striking molecules in air and rebounding in other directions.

The average speed of oxygen molecules in air at 20º is 1700km/h

Kinetic Theory as Applied to Gases

3.All collisions between particles in a gas are perfectly elastic.

• during a perfectly elastic collision, kinetic energy

is transferred from one particle to another and • the total kinetic energy remains constant.

Fundamental assumptions about gases:

Gas Pressure

Gas pressure is the result of simultaneous collisions of billions of rapidly moving particles in a gas with an object. • Ex – a helium-filled balloon maintains its shape

because of the pressure of the gas within it. • VacuumVacuum – an empty space with no particles and

no pressure. (no particles, no collisions)

Atmospheric Pressure

Atmospheric pressureAtmospheric pressure results from the collisions of atoms and molecules in air with objects. • Atmospheric pressure decreases as you climb a

mountain because the density of Earth’s atmosphere decreases as elevation increases.

• less particles, less pressure

Atmospheric Pressure

BarometerBarometer a device that is used to measure atmospheric pressure. • Atmospheric pressure depends on weather and

on altitude. • At sea level and with fair weather, the

atmospheric pressure is sufficient to support a mercury column about 760 mm Hg high

• On Mount Everest the air exerts only enough pressure to support 253mm Hg

Gas Pressure

SI unit of pressure is the pascal (Pa)SI unit of pressure is the pascal (Pa) • Represents a very small amount of pressure, for

example normal atmospheric pressure is about 100,000 Pa or 100 kPa

Two other units of pressure are commonly used

• Millimeters of mercury (mm Hg) • Standard atmosphere (atm)

Gas Pressure

1 atm = 760 mm Hg = 101.3kPa1 atm = 760 mm Hg = 101.3kPa

Kinetic Energy and Temperature

As a substance is heated, its particles absorb As a substance is heated, its particles absorb energy, some of which is stored within the energy, some of which is stored within the

particles.particles. • The stored portion of the energy (potential

energy) does not raise the temperature of the substance.

Average Kinetic Energy

Particles in any collection of atoms or Particles in any collection of atoms or molecules at a given temperature have a molecules at a given temperature have a

wide range of kinetic energies.wide range of kinetic energies. • Most of the particles have kinetic energies

somewhere in the middle

• Average kinetic energy is used when discussing the kinetic energy of a collection of particles in a substance.

Average Kinetic Energy & Temperature

At any given temperature the particles of all At any given temperature the particles of all substances, regardless of physical state, substances, regardless of physical state, have the same average kinetic energy.have the same average kinetic energy.

• Ions in table salt (s), molecules in water (l) and

atoms in helium (g) all have the same average kinetic energy at room temperature even though the three substances are in different physical states.

Average Kinetic Energy & Temperature

An increase in the average kinetic energy of An increase in the average kinetic energy of the particles causes the temperature of a the particles causes the temperature of a

substance to rise. substance to rise. • As a substance cools, the particles tend to move

more slowly and their average kinetic energy declines.

• Absolute zeroAbsolute zero (0K or -273.15 ºC or -459ºF) is the temperature at which the motion of particles theoretically ceases.

Average Kinetic Energy & Kelvin Temperature

The Kelvin temperature of a substance is The Kelvin temperature of a substance is directly proportional to the average kinetic directly proportional to the average kinetic energy of the particles of the substance.energy of the particles of the substance.

• Particles in helium gas at 200K have twice the

average kinetic energy as the particles in helium gas at 100K

Air rises near low-pressure areas.

As air rises, it cools and often condenses into clouds and precipitation.

Usually, when forecasters say a low-pressure area is moving toward your region, cloudy weather and precipitation often result as the low-pressure area approaches.

End of section 13.1

The Nature of Liquids

Kinetic Theory says both the particles in gases Kinetic Theory says both the particles in gases and liquids have kinetic energy allowing them and liquids have kinetic energy allowing them

to flow past one another.to flow past one another. • Substances that flow are referred to as liquidsliquids

• Ability of gases and liquids to flow allows them to conform to the shape of their containers.

The Nature of Liquids

Key difference between gases and liquidsKey difference between gases and liquids

• kinetic theory says there are no attractions between the particles in a gas

• particles in a liquid are attracted to each other

• intermolecular attractions keep the particles in a liquid close together

The Nature of Liquids

The interplay between the disruptive motions The interplay between the disruptive motions of particles in a liquid and the attractions of particles in a liquid and the attractions

among the particles determines the physical among the particles determines the physical properties of liquids.properties of liquids.

Properties of Liquids

• Intermolecular attractions reduce the amount of space between particles in a liquid.

• liquids are much more dense than gases

• Increasing the pressure on a liquid has hardly any effect on its volume.

• Known as a condensed state of matter

Evaporation

• VaporizationVaporization – conversion of a liquid to a gas or vapor

• EvaporationEvaporation – when conversion from a liquid to a gas or vapor occurs at the surface of a liquid that is not boiling.

• Most molecules in a liquid don’t have enough KE to overcome the attractive forces and escape into the gaseous state.

Evaporation

• During evaporation, only those molecules with a certain minimum KE can escape from the surface of the liquid.

• Liquid evaporates faster when heated because heating increases the average KE

• Added energy of heating enables more particles to overcome the attractive forces keeping them in the liquid state.

• Particles with the highest KE tend to escape first.

Evaporation

• Particles left in the liquid have a lower average KE than the particles that escaped

• As evaporation takes place, temperature decreases

• Added energy of heating enables more particles to overcome the attractive forces keeping them in the liquid state.

Vapor Pressure

• Evaporation in a closed container differs from evaporation in an open container.

• No particles can escape into the outside air from the closed container

• When a partially filled container of liquid is sealed, some particles at the surface vaporize.

• Particles collide with the walls of the sealed container and produce a vapor pressure.

Vapor Pressure

Vapor PressureVapor Pressure – is a measure of the force exerted by a gas above a liquid.

• Over time, the number of particles entering the vapor increases and some of the particles condense and return to the liquid state.

Vapor Pressure

• Eventually, the number of particles condensing will equal the number of particles vaporizing.

• Vapor pressure will remain constant

In a system at constant vapor pressure, a dynamic equilibrium exists between the vapor and the liquid.

The system is in equilibrium because the rate of evaporation of liquid equals the rate of condensation of vapor.

Vapor Pressure & Temperature

• Increase in temperature of a contained liquid increases the vapor pressure.

• Particles in the warmed liquid have increased KE.

• More particles will have the minimum KE necessary to escape the surface of the liquid.

• Vapor pressure of substances indicates how easily it evaporates and also how volatile it is

Vapor Pressure & Measurements

• Vapor pressure of a liquid can be determined with a manometer.

• One end - U shaped glass tube with mercury is attached to a container

• Other end of tube is open to the atmosphere.

• When a liquid is added to the container, the pressure in the container increased due to vapor pressure of the liquid.

Manometer

• Rate of evaporation of a liquid from an open container increases as the liquid is heated.

• Heating allows a greater number of particles to overcome the attractive forces that keep them in the liquid state.

• The remaining particles in the liquid move faster as they absorb the added energy from heating.

• Average KE of the particles in the liquid increases and the temperature increases.

Boiling Point

When a liquid is heated to a temperature at which particles throughout the liquid have enough kinetic energy to vaporize, the liquid begins to boil

• Bubbles of vapor form, rise to the surface, and escape into the air.

Boiling PointBoiling Point – the temperature at which the vapor pressure of the liquid is just equal to the external pressure on the liquid

Boiling Point

Liquids don’t always boil at the same temperature

•atmospheric pressure is lower at higher altitudes, boiling points decrease at higher altitudes.

Boiling Point & Pressure Changes

Boiling point is a cooling process similar to evaporation.

• During boiling, particles with highest KE escape first.

• Temperature of the boiling liquid never rises above its boiling point

• Vapor produced is at the same temperature as that of the boiling liquid.

Boiling Point

Although the vapor has the same average KE as the liquid, its potential energy is much higher.

• Burn from a steam is more severe than one from boiling water at the same temperature

Normal Boiling PointNormal Boiling Point – boiling point of a liquid at a pressure of 101.3kPa.

Boiling Point

End of Section 13.2

The general properties of solids reflect their

orderly arrangement of their particles

fixed locations of their particles.

• Atoms, ions, or molecules are packed tightly together

• Dense, not easy to compress

• Do not flow

Nature of Solids

When you heat a solid, particles vibrate more rapidly as their KE increases.

• Organization of particles within breaks down

• Eventually it melts

Melting Point (mp) – temperature at which a solid changes into a liquid.

• At mp temperature, disruptive vibrations of particles is strong enough to overcome the attractions that hold them in fixed positions.

Nature of Solids

Melting point and freezing points of a substance are at the same temperature.

At that temperature, the liquid and solid phases At that temperature, the liquid and solid phases are in equilibrium.are in equilibrium.

Melting Point

Liquid

freezing

melting

Solid

Most solid substances are crystalline.

In a crystal, particles are arranges in an orderly, In a crystal, particles are arranges in an orderly, repeating, three-dimensional pattern called repeating, three-dimensional pattern called crystal lattice..

Crystal Structure and Unit Cells

Sodium chlorideCrystal lattice

Shape of a crystal reflects the arrangement of Shape of a crystal reflects the arrangement of the particles within the solidthe particles within the solid

Type of bonding that exists between particles in crystals determines their melting points.

In general, In general, ionic solids have high melting pointsionic solids have high melting points because relatively strong forces hold them because relatively strong forces hold them together. together.

Crystal Structure and Unit Cells

Calcium Fluoride ionic solid

Ions usually formed from a metal and a

nonmetal

Molecular Solids have relatively low melting points

Crystal Structure and Unit Cells

Molecular SolidIce

molecules held together by relatively weak

intermolecular forces

Nonmetallic elements

A crystal has sides, or faces.

The angles at which the faces of a crystal The angles at which the faces of a crystal intersect are always the same for a given intersect are always the same for a given substance and are characteristic of that substance and are characteristic of that substance. substance.

Crystals are classified into seven groups or Crystals are classified into seven groups or crystal systems.crystal systems.

The crystal systems differ in terms of the angles The crystal systems differ in terms of the angles between the faces and the number of edges between the faces and the number of edges of equal length on each face.of equal length on each face.

Crystal Systems

Shape of the crystal depends on the arrangement of the particles within it.

Unit CellUnit Cell – the smallest group of particles within – the smallest group of particles within a crystal that retains the geometric shape of a crystal that retains the geometric shape of the crystalthe crystal

Crystal Systems

A crystal lattice is a repeating array of unit cells. Ex: wallpaper

Some solid substances can exist in more than one form. Ex: carbon

One crystalline form of carbon – graphiteOne crystalline form of carbon – graphite

Another crystalline form of carbon - diamond Another crystalline form of carbon - diamond

The physical properties of diamond and graphite The physical properties of diamond and graphite are quite different. are quite different.

Diamond – high density and hardDiamond – high density and hard

Graphite – low density, soft and slipperyGraphite – low density, soft and slippery

Allotropes

AllotropesAllotropes – two or more different molecular forms of the same element in the same physical state.

Diamond and graphite are allotropes of carbonDiamond and graphite are allotropes of carbon

Even though allotropes are composed of atoms of Even though allotropes are composed of atoms of the same element, they have different properties the same element, they have different properties because their structures are different. because their structures are different.

Only a few elements have allotropesOnly a few elements have allotropes

• phosphorus phosphorus sulfur sulfur oxygen oxygen

Allotropes

Not all solids are crystalline in form, some are amorphous.

Amorphous SolidAmorphous Solid – lacks an ordered internal – lacks an ordered internal structure.structure.

• Rubber Rubber plastic plastic asphalt asphalt

Atoms of amorphous solids are arranged Atoms of amorphous solids are arranged randomly. randomly.

Non-Crystalline Solids

Glass is another amorphous solid

Glass is a substance that has cooled to a rigid state without crystallizing.

Sometimes called supercooled liquids.Sometimes called supercooled liquids.

Internal structure of glass is intermediate between Internal structure of glass is intermediate between a crystalline solid and a free-flowing liquid.a crystalline solid and a free-flowing liquid.

Glass does not melt at a definite temperatureGlass does not melt at a definite temperature

Glass

Glass gradually softens when heated

When crystalline solids shatter, fragments tend to have same surface angles as the original solid.

When amorphous solids shatter, fragments have When amorphous solids shatter, fragments have irregular angles and jagged edges.irregular angles and jagged edges.

Glass

End of Section 13.3

SublimationSublimation – the change of a substance from a solid to a vapor without passing through the liquid state.

Sublimation can occur because solids, like liquids, Sublimation can occur because solids, like liquids, have vapor pressure.have vapor pressure.

Sublimation occurs in solids with vapor pressures that exceed atmospheric pressure at or near room temperature.

Sublimation

At normal pressures, most chemical compounds and elements possess three different states at different temperatures.

Some elements or substances at some pressures may pass directly from solid to the gaseous state.

Can occur if the atmospheric pressure exerted on the substance is too low to stop the molecules from escaping from the solid state.

Sublimation

• Solid carbon dioxide (dry ice) sublimes at (dry ice) sublimes at atmospheric pressure. atmospheric pressure.

• Used as a coolant. It does not produce a liquid Used as a coolant. It does not produce a liquid as ordinary ice does when it melts. as ordinary ice does when it melts.

Sublimation Applications

• Snow and other water ices also sublime, Snow and other water ices also sublime, although more slowly, at below-freezing although more slowly, at below-freezing temperatures.temperatures.

• Used in freeze drying (ex: coffee), allows wet clothes to be hung outdoors in freezing weather and retrieved later in a dry state

Sublimation Applications

• Solid air fresheners contain a variety of Solid air fresheners contain a variety of substances that sublime at room temperature.substances that sublime at room temperature.

Sublimation Applications

• Chemists use sublimation to Chemists use sublimation to separate mixtures and to purify separate mixtures and to purify compoundscompounds

• Solid is placed in a vessel which is heated under vacuum.

• Under reduced pressure, solid volatilizes & condenses as a purified compound.

• Leaving the non-volatile residue (impurities) behind.

Sublimation Applications

Relationships among the solid, liquid, and vapor Relationships among the solid, liquid, and vapor phases of a substance in a sealed container phases of a substance in a sealed container can be represented in a single graph.can be represented in a single graph.

Phase diagram – gives the conditions of – gives the conditions of temperature and pressure at which a temperature and pressure at which a substance exists as solid, liquid and gas. substance exists as solid, liquid and gas.

Phase Diagram

Triple point – point in the phase diagram where – point in the phase diagram where all three lines separating the phases meet.all three lines separating the phases meet.

• Describes the only set of conditions at which all three phases can exist in equilibrium with one another.

The conditions of pressure and temperature at which two phases exist in equilibrium are indicated by a line separating the phases.

Phase Diagram

• At the triple point of water, what are the At the triple point of water, what are the values of temperature and pressure?values of temperature and pressure?

• 0.016ºC and 0.61 kPa0.016ºC and 0.61 kPa• What states of matter are present at the triple What states of matter are present at the triple

point of water? point of water? • Solid, liquid and vaporSolid, liquid and vapor

• Assuming standard pressure, at what temperature is there an equilibrium between water vapor and liquid water?

• 100ºC100ºC• Between liquid water and ice?

• 0ºC0ºC

Phase Diagram Questions

A decrease in pressure lowers the boiling point and raises the melting point

An increase in pressure will raise the boiling point and lower the melting point.

Rain is the condensation product of water vapor in the atmosphere.

Phase Diagram

1.What properties must a solid have to undergo sublimation?

Sublimation occurs in solids that have vapor pressures that exceed atmospheric pressure at or near room temperature.

2. What do the curved lines on a phase diagram represent?

The lines show the conditions of temperature and pressure at which two phases exist in equilibrium

Questions

3.Describe on practical use of sublimation.

Freeze-dried coffee, dry ice as a coolant, air fresheners, separating mixtures and purifying substances.

4. What does the triple point on a phase diagram describe?

The only set of conditions at which three phases can exist in equilibrium.

5. Using phase diagram for water, estimate the boiling point of water at a pressure of 50kPa.

60ºC

Questions

3.At the following temperature-pressure values, which phase of water is most stable?

90ºC, 40 kPa vapor

20ºC, 10 kPaliquid

70ºC, 200 kPaliquid

120ºC, 40 kPavapor

50ºC, 120 kPaliquid

Questions

End of Chapter 13