chapter 17. evaporation evaporation occurs when high kinetic energy particles at the surface of a...

77
Chapter 17

Upload: britton-oconnor

Post on 30-Dec-2015

222 views

Category:

Documents


3 download

TRANSCRIPT

Page 1: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Chapter 17

Page 2: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

EvaporationEvaporation

Page 3: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Evaporation

• Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the neighboring particles and become vapor.

Page 4: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Vapor

• A vapor is the gaseous state of a substance that is liquid or solid under ordinary conditions.

Page 5: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Evaporation

• Evaporation is a cooling process.

Page 6: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Why doesn’t evaporating water freeze?

Page 7: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Evaporation is a cooling process

Page 8: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Evaporation is a cooling process

Page 9: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the
Page 10: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Heat Index

Page 11: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Evaporation is a cooling process

Page 12: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the
Page 13: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Saharan Desert

Page 15: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Sahara was once fertile grasslands

Page 16: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

H2O(l) H2O(g) • Evaporation and condensation are

reversible processes.

• An equilibrium occurs when two opposing processes occur at the same rate.

Page 17: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Equilibrium H2O(l) H2O(g)

Page 18: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

H2O(l) H2O(g) • Evaporation and condensation are

reversible processes.

• An equilibrium occurs when two opposing processes occur at the same rate.

• At equilibrium the concentrations of the substances involved in the reaction will remain constant.

• [ ] = concentration.

Page 19: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Equilibrium H2O(l) H2O(g)

Page 20: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Vapor Pressure• Suppose we conduct an

experiment in which we place a quantity of ethanol (C2H5OH) in an evacuated, closed container (a).– The ethanol will quickly begin to

evaporate.– The pressure exerted by the vapor

will begin to increase.– After a short time the pressure will

attain a constant value, called the vapor pressure of ethanol (b).

Page 21: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

• At any given temperature, for a particular substance, At any given temperature, for a particular substance, there is a pressure at which the gas of that substance is in there is a pressure at which the gas of that substance is in equilibrium with its liquid or solid form. This is the equilibrium with its liquid or solid form. This is the vapor pressurevapor pressure of that substance at that temperature. of that substance at that temperature.

• The equilibrium vapor pressure is an indication of a The equilibrium vapor pressure is an indication of a liquid's evaporation rate. liquid's evaporation rate.

• A substance with a high vapor pressure at normal A substance with a high vapor pressure at normal temperatures has a high rate of evaporation and is often temperatures has a high rate of evaporation and is often referred to as referred to as volatilevolatile..

Vapor PressureVapor Pressure

Page 22: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Attractive Forces

Two types of attractive forces are:

1. Intramolecular forces

2. Intermolecular forces

Page 23: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Intramolecular Forces

• Intramolecular forces = attractive forces that hold particles together using ionic, covalent, or metallic bonds

• Intra means “within”

• Intramolecular forces = bonds

Page 24: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Intermolecular Forces(Van der Waals forces)

• Inter means “between”

• Intermolecular forces are forces between molecules

• Larger polar molecules have greater Van der Waals forces.

Page 25: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Intermolecular forces vs. Intermolecular forces vs. Intramolecular forcesIntramolecular forces

Page 26: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

What happens when the water What happens when the water evaporates?evaporates?

• Intermolecular attractions (van der Waals forces) are broken.

• Intramolecular attractions (bonds) are not broken.

Page 27: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

alcohol vs. water

How do the vapor pressures, rates of evaporation, and van der Waals forces compare?

How would the boiling point of alcohol compare to water?

Page 28: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Names Isopranol Isopropyl alcohol rubbing alcohol

Molecular formula C3H7OH Boiling point 82.5°C

Why is it called rubbing alcohol?

Page 29: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Substances with weaker Van der Waals Forces

1. Are easier to evaporate

2. Have higher vapor pressure

3. Are more volatile

4. Have lower boiling points

Page 30: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Equilibrium

• A state of equilibrium is the most stable state for a reversible system.

Page 31: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

LeChatlier’s Principle

• If a stress is placed on a system in equilibrium the system will tend to readjust so that the stress is reduced.

• 3 Stresses are changing the:– Concentration– Temperature– Pressure

• LeChatlier’s Principle = “Do the opposite”

Page 32: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

I smell gasoline

C8H18(l) ↔ C8H18(g)

Page 33: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

2NO2(g) ↔N2O4(g)brownbrown colorlesscolorless

How does applying LeChatlier’s Principle explain that this reaction is exothermic?

Rule: An increase in temperature will always shift a reaction in the endothermic direction.

What other rule could we use?

Note: Apply the rule, it accounts for doing the opposite. So don’t do the opposite of the rule.

Page 34: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

H2O(l) H2O(g)

Water Vapor Pressure Table Temperature Pressure (°C) (mmHg)

Temperature Pressure (°C) (mmHg)

Temperature Pressure (°C) (mmHg)

0.0 4.6 5.0 6.5 10.0 9.2 12.5 10.9 15.0 12.8 15.5 13.2 16.0 13.6 16.5 14.1 17.0 14.5 17.5 15.0 18.0 15.5 18.5 16.0 19.9 16.5

19.5 17.0 20.0 17.5 20.5 18.1 21.0 18.6 21.5 19.2 22.0 19.8 22.5 20.4 23.0 21.1 23.5 21.7 24.0 22.4 24.5 23.1 25.0 23.8 26.0 25.2

27.0 26.7 28.0 28.3 29.0 30.0 30.0 31.8 35.0 42.2 40.0 55.3 50.0 92.5 60.0 149.4 70.0 233.7 80.0 355.1 90.0 525.8 95.0 633.9 100.0 760.0

Is the reaction above exothermic or endothermic?

Page 35: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Predict the effect of the following changes on the reaction:

2SO3(g) ↔ 2SO2 (g) + O2 (g) ∆H = +197.78 kJ

(a) Increasing the temperature of the reaction.

Page 36: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Predict the effect of the following changes on the reaction:

2SO3(g) ↔ 2SO2 (g) + O2 (g) ∆H = +197.78 kJ

(b) Increasing the pressure on the reaction.

Page 37: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Predict the effect of the following changes on the reaction:

2SO3(g) ↔ 2SO2 (g) + O2 (g) ∆H = +197.78 kJ

(c) Adding more O2.

Page 38: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Predict the effect of the following changes on the reaction:

2SO3(g) ↔ 2SO2 (g) + O2 (g) ∆H = +197.78 kJ

(d) Removing O2.

Page 39: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Homework

Worksheet 1 Chapter 17.

Page 40: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the
Page 41: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the
Page 42: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the
Page 43: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the
Page 44: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Solid-Vapor Equilibrium

• Sublimation is a process in which molecules go directly from the solid into the vapor phase (deposition is the reverse process).

Page 45: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

SublimationIodine and dry ice are substances that commonly undergo sublimation.

Which of these can reach equilibrium?

Page 46: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Deposition

• The formation of frost.

Page 47: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Boiling

• A substance A substance boils when the boils when the vapor pressure vapor pressure of the liquid is of the liquid is equal to the equal to the atmospheric atmospheric pressure.pressure.

Page 48: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

How could I boil this water?

AA A

Page 49: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

What is temperature of the water?

AA A

Page 50: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Why does water boil at 100°C?

Water Vapor Pressure Table Temperature Pressure (°C) (mmHg)

Temperature Pressure (°C) (mmHg)

Temperature Pressure (°C) (mmHg)

0.0 4.6 5.0 6.5 10.0 9.2 12.5 10.9 15.0 12.8 15.5 13.2 16.0 13.6 16.5 14.1 17.0 14.5 17.5 15.0 18.0 15.5 18.5 16.0 19.9 16.5

19.5 17.0 20.0 17.5 20.5 18.1 21.0 18.6 21.5 19.2 22.0 19.8 22.5 20.4 23.0 21.1 23.5 21.7 24.0 22.4 24.5 23.1 25.0 23.8 26.0 25.2

27.0 26.7 28.0 28.3 29.0 30.0 30.0 31.8 35.0 42.2 40.0 55.3 50.0 92.5 60.0 149.4 70.0 233.7 80.0 355.1 90.0 525.8 95.0 633.9 100.0 760.0

Page 51: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Is there another way to boil the water?

Page 52: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Is there another way to boil the water?

Page 53: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Is there another way to boil the water?

Page 54: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

What is the pressure inside the bell jar if the water is boiling at 20°C?Water Vapor Pressure Table Temperature Pressure (°C) (mmHg)

Temperature Pressure (°C) (mmHg)

Temperature Pressure (°C) (mmHg)

0.0 4.6 5.0 6.5 10.0 9.2 12.5 10.9 15.0 12.8 15.5 13.2 16.0 13.6 16.5 14.1 17.0 14.5 17.5 15.0 18.0 15.5 18.5 16.0 19.9 16.5

19.5 17.0 20.0 17.5 20.5 18.1 21.0 18.6 21.5 19.2 22.0 19.8 22.5 20.4 23.0 21.1 23.5 21.7 24.0 22.4 24.5 23.1 25.0 23.8 26.0 25.2

27.0 26.7 28.0 28.3 29.0 30.0 30.0 31.8 35.0 42.2 40.0 55.3 50.0 92.5 60.0 149.4 70.0 233.7 80.0 355.1 90.0 525.8 95.0 633.9 100.0 760.0

Page 55: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

We can make water boil at “any” temperature.

Water Vapor Pressure Table Temperature Pressure (°C) (mmHg)

Temperature Pressure (°C) (mmHg)

Temperature Pressure (°C) (mmHg)

0.0 4.6 5.0 6.5 10.0 9.2 12.5 10.9 15.0 12.8 15.5 13.2 16.0 13.6 16.5 14.1 17.0 14.5 17.5 15.0 18.0 15.5 18.5 16.0 19.9 16.5

19.5 17.0 20.0 17.5 20.5 18.1 21.0 18.6 21.5 19.2 22.0 19.8 22.5 20.4 23.0 21.1 23.5 21.7 24.0 22.4 24.5 23.1 25.0 23.8 26.0 25.2

27.0 26.7 28.0 28.3 29.0 30.0 30.0 31.8 35.0 42.2 40.0 55.3 50.0 92.5 60.0 149.4 70.0 233.7 80.0 355.1 90.0 525.8 95.0 633.9 100.0 760.0

Page 56: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the
Page 57: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

≈234

Elevation = 29,035 ft.

Page 58: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Water Vapor Pressure Table Temperature Pressure (°C) (mmHg)

Temperature Pressure (°C) (mmHg)

Temperature Pressure (°C) (mmHg)

0.0 4.6 5.0 6.5 10.0 9.2 12.5 10.9 15.0 12.8 15.5 13.2 16.0 13.6 16.5 14.1 17.0 14.5 17.5 15.0 18.0 15.5 18.5 16.0 19.9 16.5

19.5 17.0 20.0 17.5 20.5 18.1 21.0 18.6 21.5 19.2 22.0 19.8 22.5 20.4 23.0 21.1 23.5 21.7 24.0 22.4 24.5 23.1 25.0 23.8 26.0 25.2

27.0 26.7 28.0 28.3 29.0 30.0 30.0 31.8 35.0 42.2 40.0 55.3 50.0 92.5 60.0 149.4 70.0 233.7 80.0 355.1 90.0 525.8 95.0 633.9 100.0 760.0

Page 59: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the
Page 60: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Volcanic Vents

Page 61: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

• LONDON — Scientists using a remote-controlled submarine have discovered the deepest known volcanic vent and say the superheated waters inside could contain undiscovered marine species and perhaps even clues to the origin of life on earth.

• Experts aboard the RRS James Cook said they found the underwater volcanic vent more than three miles (five kilometers) beneath the surface of the Caribbean.

• Volcanic vents are areas where sea water seeps into small cracks that penetrate deep into the earth's crust — some reaching down more than a mile (two kilometers.) Temperatures there can reach 750 degrees Fahrenheit (400 degrees Celsius), heating the water to the point where it can melt lead.

• The blazing hot mineral-rich fluid is expelled into the icy cold of the deep ocean, creating a smoke-like effect and leaving behind towering chimneys of metal ore, some two stories tall. The spectacular pressure — 500 times stronger than the earth's atmosphere — keeps the water from boiling.

Page 62: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Which beaker of water has had more heat added to it?

Boiling for 5 minutes

Boiling for 30 minutes

Page 63: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Which beaker of water is hotter?

Boiling for 5 minutes

Boiling for 30 minutes

Page 64: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

What would happen to this water as it boiled?

It gets colder

Page 65: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

How can we continue to boil the water as it cools?

Water Vapor Pressure Table Temperature Pressure (°C) (mmHg)

Temperature Pressure (°C) (mmHg)

Temperature Pressure (°C) (mmHg)

0.0 4.6 5.0 6.5 10.0 9.2 12.5 10.9 15.0 12.8 15.5 13.2 16.0 13.6 16.5 14.1 17.0 14.5 17.5 15.0 18.0 15.5 18.5 16.0 19.9 16.5

19.5 17.0 20.0 17.5 20.5 18.1 21.0 18.6 21.5 19.2 22.0 19.8 22.5 20.4 23.0 21.1 23.5 21.7 24.0 22.4 24.5 23.1 25.0 23.8 26.0 25.2

27.0 26.7 28.0 28.3 29.0 30.0 30.0 31.8 35.0 42.2 40.0 55.3 50.0 92.5 60.0 149.4 70.0 233.7 80.0 355.1 90.0 525.8 95.0 633.9 100.0 760.0

Page 66: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

What happens when the vapor pressure of water reaches 4.6 mm Hg.

Water Vapor Pressure Table Temperature Pressure (°C) (mmHg)

Temperature Pressure (°C) (mmHg)

Temperature Pressure (°C) (mmHg)

0.0 4.6 5.0 6.5 10.0 9.2 12.5 10.9 15.0 12.8 15.5 13.2 16.0 13.6 16.5 14.1 17.0 14.5 17.5 15.0 18.0 15.5 18.5 16.0 19.9 16.5

19.5 17.0 20.0 17.5 20.5 18.1 21.0 18.6 21.5 19.2 22.0 19.8 22.5 20.4 23.0 21.1 23.5 21.7 24.0 22.4 24.5 23.1 25.0 23.8 26.0 25.2

27.0 26.7 28.0 28.3 29.0 30.0 30.0 31.8 35.0 42.2 40.0 55.3 50.0 92.5 60.0 149.4 70.0 233.7 80.0 355.1 90.0 525.8 95.0 633.9 100.0 760.0

Page 67: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the
Page 68: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the
Page 69: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

What is the boiling point of ethanol at normal air pressure?

Page 70: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

What is the boiling point of water at an air pressure of 400 torr?

≈82°C

Page 71: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

At what air pressure will Diethyl ether boil at 20°C?

≈450 torr

Page 72: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

How do these substances compare in terms of Van der Waals forces, rate of evaporation, vapor pressure, and volatility ?

Page 73: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

How do these substances compare in terms of Van der Waals forces, rate of evaporation, vapor pressure, and volatility?

Diethyl ether has the least Van der Waals forces, and the greatest rate of evaporation, vapor pressure, and volatility. Ethylene glycol has the greatest Van der Waals forces, and the lowest rate of evaporation, vapor pressure, and volatility.

Page 74: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

“Which would you expect to have the higher boiling point?

Page 75: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

“Which would you expect to have the higher boiling point?

He = -269˚C Rn = -62˚C

Page 76: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Demonstrations

• Boiling water with by applying hands.• Freezing water by boiling.

Page 77: Chapter 17. Evaporation Evaporation Occurs when high kinetic energy particles at the surface of a liquid break free from the attractive forces of the

Homework

Summarize the “Equilibrium” Lab (due tomorrow).

Worksheet 1 Chapter 17 (due tomorrow). Worksheet 2 Chapter 17 (due in two days). Study Guide Chapters 15 – 17 (due in two

days).