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A Complete Solution Manual for Chemistry, 9th Edition Authors Steven Zumdahl, Susan Zumdahl.

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A Complete Solution Manual for Chemistry, 9th Edition Authors Steven Zumdahl, Susan Zumdahl.

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, TABLE OF CONTENTS

Chapter 1 Chemical Foundations ......................................................................................... 1

Chapter 2 Atoms, Molecules, and Ions ...............................................................................25

Chapter 3 Stoichiometry .....................................................................................................46

Chapter 4 Types of Chemical Reactions and Solution Stoichiometry ..................................93

Chapter 5 Gases ...............................................................................................................139

Chapter 6 Thermochemistry .............................................................................................184
Chapter 7 Atomic Structure and Periodicity ......................................................................215

Chapter 8 Bonding: General Concepts .............................................................................250

Chapter 9 Covalent Bonding: Orbitals .............................................................................304

Chapter 10 Liquids and Solids ............................................................................................341

Chapter 11 Properties of Solutions .....................................................................................380

Chapter 12 Chemical Kinetics ............................................................................................418

Chapter 13 Chemical Equilibrium ......................................................................................458

Chapter 14 Acids and Bases ...............................................................................................500

Chapter 15 Acid-Base Equilibria ........................................................................................563

Chapter 16 Solubility and Complex Ion Equilibria .............................................................621

Chapter 17 Spontaneity, Entropy, and Free Energy.............................................................659

Chapter 18 Electrochemistry ..............................................................................................688

Chapter 19 The Nucleus: A Chemist’s View ......................................................................741

Chapter 20 The Representative Elements............................................................................760

Chapter 21 Transition Metals and Coordination Chemistry.................................................782

Chapter 22 Organic and Biological Molecules ....................................................................810




iii

,CHAPTER 1

CHEMICAL FOUNDATIONS


Questions
17. A law summarizes what happens, e.g., law of conservation of mass in a chemical reaction or
the ideal gas law, PV = nRT. A theory (model) is an attempt to explain why something
happens. Dalton’s atomic theory explains why mass is conserved in a chemical reaction. The
kinetic molecular theory explains why pressure and volume are inversely related at constant
temperature and moles of gas present, as well as explaining the other mathematical
relationships summarized in PV = nRT.

18. A dynamic process is one that is active as opposed to static. In terms of the scientific
method, scientists are always performing experiments to prove or disprove a hypothesis or a
law or a theory. Scientists do not stop asking questions just because a given theory seems to
account satisfactorily for some aspect of natural behavior. The key to the scientific method is
to continually ask questions and perform experiments. Science is an active process, not a
static one.

19. The fundamental steps are

(1) making observations;
(2) formulating hypotheses;
(3) performing experiments to test the hypotheses.

The key to the scientific method is performing experiments to test hypotheses. If after the test
of time the hypotheses seem to account satisfactorily for some aspect of natural behavior,
then the set of tested hypotheses turns into a theory (model). However, scientists continue to
perform experiments to refine or replace existing theories.

20. A random error has equal probability of being too high or too low. This type of error occurs
when estimating the value of the last digit of a measurement. A systematic error is one that
always occurs in the same direction, either too high or too low. For example, this type of
error would occur if the balance you were using weighed all objects 0.20 g too high, that is, if
the balance wasn’t calibrated correctly. A random error is an indeterminate error, whereas a
systematic error is a determinate error.

21. A qualitative observation expresses what makes something what it is; it does not involve a
number; e.g., the air we breathe is a mixture of gases, ice is less dense than water, rotten milk
stinks.

The SI units are mass in kilograms, length in meters, and volume in the derived units of m3.
The assumed uncertainty in a number is ±1 in the last significant figure of the number. The
precision of an instrument is related to the number of significant figures associated with an

1

, 2 CHAPTER 1 CHEMICAL FOUNDATIONS

experimental reading on that instrument. Different instruments for measuring mass, length, or
volume have varying degrees of precision. Some instruments only give a few significant
figures for a measurement, whereas others will give more significant figures.

22. Precision: reproducibility; accuracy: the agreement of a measurement with the true value.
a. Imprecise and inaccurate data: 12.32 cm, 9.63 cm, 11.98 cm, 13.34 cm
b. Precise but inaccurate data: 8.76 cm, 8.79 cm, 8.72 cm, 8.75 cm
c. Precise and accurate data: 10.60 cm, 10.65 cm, 10.63 cm, 10.64 cm

Data can be imprecise if the measuring device is imprecise as well as if the user of the
measuring device has poor skills. Data can be inaccurate due to a systematic error in the
measuring device or with the user. For example, a balance may read all masses as weighing
0.2500 g too high or the user of a graduated cylinder may read all measurements 0.05 mL too
low.

A set of measurements that are imprecise implies that all the numbers are not close to each
other. If the numbers aren’t reproducible, then all the numbers can’t be very close to the true
value. Some say that if the average of imprecise data gives the true value, then the data are
accurate; a better description is that the data takers are extremely lucky.

23. Significant figures are the digits we associate with a number. They contain all of the certain
digits and the first uncertain digit (the first estimated digit). What follows is one thousand
indicated to varying numbers of significant figures: 1000 or 1 × 103 (1 S.F.); 1.0 × 103 (2
S.F.); 1.00 × 103 (3 S.F.); 1000. or 1.000 × 103 (4 S.F.).

To perform the calculation, the addition/subtraction significant figure rule is applied to 1.5 −
1.0. The result of this is the one-significant-figure answer of 0.5. Next, the multi-
plication/division rule is applied to 0.5/0.50. A one-significant-figure number divided by a
two-significant-figure number yields an answer with one significant figure (answer = 1).

24. From Figure 1.9 of the text, a change in temperature of 180°F is equal to a change in
temperature of 100°C and 100 K. A degree unit on the Fahrenheit scale is not a large as a
degree unit on the Celsius or Kelvin scales. Therefore, a 20° change in the Celsius or Kelvin
temperature would correspond to a larger temperature change than a 20° change in the
Fahrenheit scale. The 20° temperature change on the Celsius and Kelvin scales are equal to
each other.

25. Straight line equation: y = mx + b, where m is the slope of the line and b is the y-intercept. For
the TF vs. TC plot:
TF = (9/5)TC + 32
y= m x + b
The slope of the plot is 1.8 (= 9/5) and the y-intercept is 32°F.
For the TC vs. TK plot:
TC = TK − 273
y= mx + b
The slope of the plot is 1, and the y-intercept is −273°C.

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