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Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

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Page 1: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

States of Matter: Kinetic

Molecular Theory

Holt McDougal Physical Science C3S1: Matter and Energy

Glencoe Science Physical Science C16S1: Kinetic Theory

Page 2: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

NGSSS Benchmark(s)

•SC912P12.11▫Describe phase transitions in terms of

kinetic molecular theory

•SC912P8.1

Page 3: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Learning Objectives

•What makes up matter?•What is the difference between a solid, a

liquid, and a gas?•What kind of energy do all particles of

matter have?•How do particles move in the four states

of matter?•How do particles behave at the melting

and boiling points of matter?

Page 4: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Characteristics of Matter

•Has mass

•Has volume

•Made of atoms

•Atoms in constant motion

Page 5: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Kinetic Molecular Theory of Matter•All matter is made of particles that are in

constant motion

•“Stuff is moving all the time”

Page 6: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Kinetic Theory 2

•The faster particles move, the higher the temperature of the substance.

•“Fast moving stuff is hotter than slow moving stuff.”

Page 7: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Kinetic Theory 3

•At the same temperature, more massive particles move more slowly than less massive ones.

•“Big stuff is slower than small stuff at the same temperature.”

Page 8: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

What explains how particles in matter behave?

A.Law of Conservation of Mass

B.Law of Kinetic Movement

C.Kinetic Molecular Theory

D.None of the above

Page 9: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

What is Thermal Energy?

•Energy ability to change/move matter

•Total energy of the particles in a material

•TE = KE + PE

•If temperature is lowered, particles will have less thermal energy

Page 10: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Average Kinetic Energy

•Temperature avg of how fast particles are moving

•Molecules have kinetic energy at all temperatures (even absolute zero)

Page 11: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

What two things comprise thermal energy?

A.Potential movement and Kinetic energy

B.Kinetic movement and Potential energy

C.Potential movement and Kinetic movement

D.Potential energy and Kinetic energy

Page 12: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Common States of Matter

•Solid, liquid, gas

•Definite something does not change

•Variable something can change

Page 13: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Solids

•Definite volume

•Definite shape

•Strong attraction keeps particles in place

•Particle arrangement establishes chemical and physical properties

Page 14: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Solid to Liquid: How?

•Melting point temp for solid to begin turning to liquid

•Particles slip out of ordered arrangement

•Heat of Fusion amt of energy needed to change a substance from a solid to a liquid at its melting point

Page 15: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Liquids

•Particles faster than solids

•Flow freely

•Definite volume

•Variable shape

Page 16: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Liquid to Gas: How?• Particles have enough energy to escape

attractive forces

• Evaporation particles at surface & travel away

• Boiling point temp at which pressure of the vapor in the liquid = external pressure on surface of liquid

• Heat of vaporization amt of energy needed for liquid at its boiling point to become a gas

Page 17: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Gases

•Overcome attractive forces

•Variable shape

•Variable volume

Page 18: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

How would you respond?• What is the temperature at which a solid

begins to turn into a liquid called?

• Which particles have the least kinetic energy?

• What do particles need in order to overcome the force of pressure and become a gas?

• How does the movement of particles in a liquid differ from the movement of particles in a solid?

• What causes a solid to have a definite volume and shape?

Page 19: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Fluid: What is it?

•State of matter with variable shape

•Liquids

•Gases

Page 20: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Plasma

•Matter made up of positively and negatively charged particles (i.e., ionized particles)

•Neutral

•Conducts electricity

•Stars, lightning bolts, neon and fluorescent tubes, auroras

Page 21: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Thermal Expansion

•Increase in the size of a substance when the temperature is increased

•“Hot stuff moves faster and takes up more space.”

Page 22: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Solid or Liquid: Which?

•Amorphous solid no melting point; soft over a range of temperatures

Glass Plastic

•Liquid Crystals maintain ordered structure from solid to liquid state

Page 23: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

What do you think?•Describe the movement of particles in a fluid.• Is plasma a fluid? Explain your answer.•Why do all particles of matter have kinetic

energy?•Which of the three common states of matter

has particles with the most kinetic energy?•Why do all particle of matter have kinetic

energy?•What does temperature measure?

Page 24: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Changes of State of Matter

Holt McDougal Physical Science C3S2: Matter and Energy

Page 25: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Learning Objectives

•What happens when a substance changes from one state of matter to another?

•What happens to mass and energy during physical and chemical changes?

Page 26: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

What Causes Matter to Change States?

•Change of state from one physical form to another

•Caused by transfer of energy

•Identity of substance remains the same

Page 27: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Adding and Removing energy

•Heating adds energy

•Adding NRG causes particles to move more quickly

•Removing NRG causes particles to move more slowly

Page 28: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Temperature and Energy

•Adding NRG increases kinetic energy of the particles

•Removing NRG decreases kinetic energy of the particles

•Temperature measure of the avg kinetic energy

Page 29: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Think fast!

•What does “hot” mean for temperature?

•What will removing all kinetic energy do to a gas?

Page 30: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Changes of State That Require Energy

•Melting from solid to liquid

•Melting point particles have enough nrg to break from rigid positions

•Melting point can change if pressure changes

Page 31: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Evaporation

•Change from liquid to gas

•Boiling evaporation at specific temp and pressure

•Boiling point temp at which liquid boils

Page 32: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Sublimation

•Change from solid to gas

•Example: •Solid CO2

–(room temp) Gas CO2

Page 33: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

What’s Your Answer?

•What are three changes of state that require energy?

•Melting•Boiling•Subliming

Page 34: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Changes of State That Release Energy

•Condensation from gas to liquid

•Condensation point temp to chg from gas to lqd

•Condensation often happens when gas touches cool surface (e.g., vapor touches cold glass and becomes water droplets)

Page 35: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Freezing Point

•Freezing chg from lqd to solid

•Freezing point temp at which substances freezes

•Freezing point = Melting point = Freezing point

•Add nrg to melt; release nrg to freeze

Page 36: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Do you recall?

•What is the condensation point?

•What is the melting point?

•What is the boiling point?

•What is the melting point?

•What is the point?

Page 37: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

What Happens to Temperature During Changes of State?

•Temp does NOT chg during a chg of state

•“When a substance loses or gains energy, either its temperature change or its state changes . . . (The) two changes do not happen at the same time.” (p. 51)

Page 38: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

By the Way: Helpful Links

•http://www.chem4kids.com/files/matter_intro.html

•http://zonalandeducation.com/mstm/physics/mechanics/energy/heatAndTemperature/changesOfPhase/changeOfState.html

Page 39: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

What Happens to Mass and Energy During Physical and Chemical Changes?•Law of Conservation of Mass

•Law of Conservation of Energy

•Conserve to keep the same

Page 40: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Fluids

Holt McDougal Physical Science C3S3: States of MatterFluids

Page 41: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Learning Objectives

•How do fluids exert pressure?

•What causes objects to float?

•What happens when pressure in a fluid changes?

•What affects the speed of a fluid?

Page 42: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

What Are Fluids

•Liquids and gases

•Particles can move past each other

•Exert pressure in all directions

Page 43: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

What Is Pressure

•With your neighbor, come up with a quick demonstration of pressure . . .

•Pressure amt of force exerted on a give surface area

Page 44: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Calculating Pressure•Divide force by area

•Pressure = Force/Area; P=F/A

•Pascal SI unit for pressure

•Newton SI unit for force

•1 Pa = 1 N/m2

Page 45: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Try Calculating PressureGiven a force of 20N over 60m2, how much pressure is

being exerted? Try this on your whiteboard.

• Write the formula: P = F / A

• Substitute values: P = 20N/60m2

• Divide the units: P = N/m2

• Now, divide the quantities: 20/60= .33

• Assemble the answer: P = 0.33N/m2

Page 46: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

What Causes an Object to Float?• Buoyant force upward

force fluids exert on matter

• Archimedes’ Principle “The buoyant force of an object equals the weight of the fluid that the object displaces.”

Page 47: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Do you remember . . .

•What is pressure?▫The amount of force exerted over an area

•What is a Pascal?▫The SI unit for pressure; 1Pa = 1N/m2

•Given area and pressure, how does one determine the number of Newtons required?▫Since P=F/A, then F = P * A

Page 48: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Will It Sink or Float?By Weight By Density

• Compare weight to buoyant force why?

• Floats bouyant force > or = object’s weight

• Sinks bouyant force < or = object’s weight

• Compare density of object to density of fluid

• Floats object is less dense than the fluid

• Sinks object is denser than the fluid

• BTW, the density of water is . .. ▫ 1 g/cm3

http://hyperphysics.phy-astr.gsu.edu/hbase/hframe.html

Page 49: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory
Page 50: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

What Happens When Pressure Changes in a Fluid?•What happens when you squeeze a

balloon?

•What happens when you squeeze a tube of toothpaste?

•Pascal’s principle “If the pressure in a container is increased at any point, the pressure increases at all points by the same amount.”

Page 51: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Pascal’s Principle (formula)

•P(1) = P(2)

•If P = F / A, then what does F(1) / A(1) equal?

•F(1)/A(1) = F(2)/A(2)

•Remember, pressure is measured in pascals and 1Pa = 1N/M2

Page 52: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Hydraulic Devices and Pascal

•Use liquids to transmit pressure from one point to another▫Car lift▫Beautician chair▫Barbershop

Page 53: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Apply Pascal’s Principle to Solve•A hydraulic lift uses Pascal’s principle to

lift a 19,000N car. The area of the small pistons equals 10.5cm2 and the area of the large piston equals 400 cm2. What force must you exert on the small piston to lift the car?

•Write formula•Substitute•Do the math

Page 54: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Properties of Fluids in Motion

•Fluids and area

•Fluid pressure and speed

•Viscosity

Page 55: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Fluids and Area

•What happens when you put your finger over the opening for a water/garden hose?

•If the flow rate stays the same, fluids move faster through small areas than large areas.

Page 56: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Bernoulli’s Principle• Swiss Scientist from 1700 to 1782

• Published his discovery in 1738

• Blow across top of paper

• As the speed of a fluid increases, the pressure exerted by the fluid decreases.

• http://alex.state.al.us/lesson_view.php?id=24058

Page 57: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Quiz: Write Questions and Answers

1. How can you use density to determine if an object will float in a fluid?

2. You put a small object into a cup of water and the displaced water weighs 235N. What is the buoyant force on the object? Explain your answer.

3. How does a hydraulic device multiply force?4. A balloon filled with helium floats in the air.

What does this tell you about the density of helium?

5. How are speed and pressure of a fluid related?6. How do the attractions between particles in a

fluid determine viscosity?

Page 58: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Fluid Flow Viscosity

•Viscosity fluid’s resistance to flow

•Think about the principles of Kinetic Molecular Theory; why are some fluids more viscous than others?

•In general, the stronger the attraction between the particles of a fluid, the more viscous the fluid is.

Page 59: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Behavior of Gases

Holt McDougal Interactive Reader Chapter 3 Section 4

Page 60: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

NGSSS and Learning Objective Questions•SC912P12.10 Interpret the behavior of

ideal gases in terms of kinetic molecular theory

•What are some properties of gases?

•How do changes of pressure, temperature, or volume affect a gas?

Page 61: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Physical Properties of GasesWhat are some physical properties of Gases?

Class Notes these properties:

• Expand to fill their containers

• Easily mix with one another

• Have low densities

• Can be compressed

• Are mostly empty space

• Exert pressure on their containers

Page 62: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Gas Laws

•Boyle’s Law variable volume

•Gay-Lussac’s Law variable pressure

•Charles’s Law variable temperature

Page 63: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Boyle’s Law•Works if temperature and amount of gas

are constant or unchanged

•“For a certain amount of gas at a constant temperature, the volume of a gas decreases as the gas’s pressure increases. Likewise, the volume of a gas increases as the gas’s pressure decreases.”

•P1V1 = P2V2

Page 64: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Practice Boyle’s Law

Given a balloon with a volume of 7.5L at 100.0 kPa, what is the pressure of the balloon when the volume is 11.0L?1.Write the formula P1V1=P2V22.Substitute values7.5(100)=P2(11.0)3.Multiply 750=11.0(P2)4.Divide 750/11.0=11.0(P2)/11.0

5.Assign correct units 68kPa

Page 65: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Try Boyle’s Law, againA 300mL sample of H gas is at a pressure of 0.500KPA. If the pressure increases to 0.750kPa, what will be the final volume of the sample? Assume that temperature stays constant.1.Write the formula2.Substitute values3.Multiply4.Divide5.Assign correct units

Page 66: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Think About It . . .

What might happen if you threw a full can of spray paint into a raging fire?

. . . remember the container is rigid, so its volume cannot increase!

Page 67: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Pressure and Temperature

•Temperature measure of avg kinetic nrg

•Increase temp particles gain kinetic nrg and bump sides of container more often

•Increase temp pressure increases

Page 68: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Gay – Lussac’s Law

•“When volume is constant, the pressure of a gas increases as temperature increases. Pressure decreases as temperature decreases.”

•Pressure and temperature = directly related.

•Change one = same kind of change in the other

Page 69: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

Charles’s Law: It’s the Kinetic Theory!!!•A scientist named Jacques Charles did

many experiments involving gas volumes and temperatures.

•“If gas and pressure are constant, the volume of gas increases as temperature increases.”

•V=Tk (where k is a constant pressure).

Page 70: States of Matter: Kinetic Molecular Theory Holt McDougal Physical Science C3S1: Matter and Energy Glencoe Science Physical Science C16S1: Kinetic Theory

How Can Graphs Illustrate the Gas Laws?• Graphs show relationship between two factors

• Direct relationship two variables change in the same direction

• Inverse relationship variables change in opposite directions

• Straight line directly proportional

• Curved line variables don’t maintain ration