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Kinetic Molecular Theory

Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

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Page 1: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Kinetic Molecular Theory

Page 2: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

H-ch.13 CP-ch.10 & 12 Gases indefinite volume and shape,

low density. Liquids definite volume, indefinite

shape, and high density. Solids definite volume and shape,

high density Solids and liquids have high densities

because their molecules are close together.

Page 3: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Kinetic Theory

are evidence of this.

Kinetic theory says that molecules are in constant motion.

Perfume molecules moving across the room

Page 4: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

A Gas is composed of particlesusually molecules or atomsConsidered to be hard spheres

far enough apart that we can ignore their volume.

Between the molecules is empty space.

The Kinetic Theory of GasesMakes three assumptions about gases

Page 5: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

The particles are in constant random motion.

Move in straight lines until they bounce off each other or the walls.

All collisions are perfectly elastic

Page 6: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

The Average speed of an oxygen molecule is 1656 km/hr at 20ºC

The molecules don’t travel very far without hitting each other so they move in random directions.

Page 7: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Kinetic Energy and Temperature Temperature is a measure of the

Average kinetic energy of the molecules of a substance.

Higher temperature faster molecules. At absolute zero (0 K) all molecular

motion would stop.

Page 8: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

The average kinetic energy is directly proportional to the temperature in Kelvin

If you double the temperature (in Kelvin) you double the average kinetic energy.

If you change the temperature from 300 K to 600 K the kinetic energy doubles.

Temperature

Page 9: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Temperature If you change the temperature from

300ºC to 600ºC the Kinetic energy doesn’t double.

873 K is not twice 573 K

Page 10: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Pressure Pressure is the result of collisions of the

molecules with the sides of a container. A vacuum is completely empty space - it

has no pressure. Pressure is measured in units of

atmospheres (atm). It is measured with a device called a

barometer.

Page 11: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Barometer At one atmosphere

pressure a column of mercury 760 mm high.

Dish of Mercury

Column of Mercury

1 atm Pressure

Page 12: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Barometer At one atmosphere

pressure a column of mercury 760 mm high.

A second unit of pressure is mm Hg

1 atm = 760 mm Hg

760 mm1 atm Pressure

Page 13: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Avagadro’s Hypothesis

Equal volumes of gas at the same temperature and pressure have equal numbers of molecules.

That means ...

Page 14: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Avagadro’s Hypothesis

2 Liters of

Helium

2 Liters of

Oxygen

Has the same number of particles as ..

Page 15: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Only at STP

• 0ºC

• 1 atm This way we compare gases at

the same temperature and pressure.

This is where we get the fact that 22.4 L =1 mole

Page 16: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Think of it it terms of pressure. The same pressure at the same

temperature should require that there be the same number of particles.

The smaller particles must have a greater average speed to have the same kinetic energy.

Page 17: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Liquids Particles are in motion. Attractive forces between molecules

keep them close together. These are called intermolecular

forces.

• Inter = between

• Molecular = molecules

Page 18: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Breaking intermolecular forces. Vaporization - the change from a

liquid to a gas below its boiling point.

Evaporation - vaporization of an uncontained liquid ( no lid on the bottle ).

Page 19: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Evaporation Molecules at the surface break

away and become gas. Only those with enough

KE escape Evaporation is a cooling

process. It requires heat. Endothermic.

Page 20: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Condensation Change from gas to liquid Achieves a dynamic equilibrium with

vaporization in a closed system. What is a closed system? A closed system means

matter can’t go in or out. (put a cork in it)

What the heck is a “dynamic equilibrium?”

Page 21: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Vaporization

Vaporization is an endothermic process - it requires heat.

Energy is required to overcome intermolecular forces

Responsible for cool earth. Why we sweat. (Never let them

see you.)

Page 22: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Boiling A liquid boils when the vapor

pressure = the external pressure Normal Boiling point is the

temperature a substance boils at 1 atm pressure.

The temperature of a liquid can never rise above it’s boiling point.

Page 23: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Changing the Boiling Point Lower the pressure (going up into

the mountains). Lower external pressure requires

lower vapor pressure. Lower vapor pressure means lower

boiling point. Food cooks slower.

Page 24: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Raise the external pressure (Use a pressure cooker).

Raises the vapor pressure needed. Raises the boiling point. Food cooks faster.

Changing the Boiling Point

Page 25: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Solids Intermolecular forces are strong Can only vibrate and revolve in

place. Particles are locked in place - don’t

flow. Melting point is the temperature

where a solid turns into a liquid.

Page 26: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

The melting point is the same as the freezing point.

When heated the particles vibrate more rapidly until they shake themselves free of each other.

Ionic solids have strong intermolecular forces so a high mp.

Molecular solids have weak intermolecular forces so a low mp.

Page 27: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Crystals A regular repeating three

dimensional arrangement of atoms in a solid.

Most solids are crystals. Amorphous solids lack an orderly

internal structure. Think of them as supercooled

liquids.

Page 28: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Cubic

Page 29: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Body-Centered Cubic

Page 30: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Face-Centered Cubic

Page 31: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Phase Changes

Solid

Liquid

Gas

Melting Vaporization

Condensation

Freezing

Page 32: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Liquid

Sublimation

Melting Vaporization

Deposition

Condensation

Solid

Freezing

Gas

Page 33: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Energy and Phase Change Heat of fusion energy required to

change one gram of a substance from solid to liquid.

Heat of solidification energy released when one gram of a substance changes from liquid to solid.

For water 80 cal/g

Page 34: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Water

Waterand IceIce

Water and Steam

Steam

-20

0

20

40

60

80

100

120

0 40 120 220 760 800

Heating Curve for Water

Page 35: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Water

Waterand IceIce

Water and Steam

Steam

-20

0

20

40

60

80

100

120

0 40 120 220 760 800

Heating Curve for Water

Heat of Vaporizati

on

Page 36: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Water

Waterand IceIce

Water and Steam

Steam

-20

0

20

40

60

80

100

120

0 40 120 220 760 800

Heating Curve for Water

Heat of Fusion

Page 37: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Water

Waterand IceIce

Water and Steam

Steam

-20

0

20

40

60

80

100

120

0 40 120 220 760 800

Heating Curve for Water

Slope = Specific Heat

Steam

Water

Ice

Page 38: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Water

Waterand IceIce

Water and Steam

Steam

-20

0

20

40

60

80

100

120

0 40 120 220 760 800

Heating Curve for Water

Both Water and

Steam

Page 39: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Water

Waterand IceIce

Water and Steam

Steam

-20

0

20

40

60

80

100

120

0 40 120 220 760 800

Heating Curve for Water

Ice and

Water

Page 40: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Water

Waterand IceIce

Water and Steam

Steam

-20

0

20

40

60

80

100

120

0 40 120 220 760 800

Heating Curve for Water

Page 41: Kinetic Molecular Theory. H-ch.13 CP-ch.10 & 12 u Gases indefinite volume and shape, low density. u Liquids definite volume, indefinite shape, and high

Phase Diagram of Water