82. Assign oxidation numbers to all the elements in each of the
following molecules or ions:
a. CH
4
c. KHCO
3
e. KMnO
4
b. SO
4
2−
d. Na
2
Cr
2
O
7
Chemical Applications and Practices
83. The following balanced equation depicts a reaction that can
be used for the determination of iron in a steel sample. Is this
a redox reaction? Prove it by showing which elements change
oxidation state.
6Fe
2+
(aq) + 14H
+
(aq) + Cr
2
O
7
2−
(aq)
→ 6Fe
3+
(aq) + 2Cr
3+
(aq) + 7H
2
O(l)
84. The following reaction depicts one of the steps in obtaining
the important steel alloying ingredient titanium.
TiCl
4
+ 2Mg → Ti + 2MgCl
2
a. Identify the substance being oxidized.
b. Identify the substance being reduced.
Comprehensive Problems
85. Why is water called the universal solvent?
86. An interesting demonstration often used by chemistry teach-
ers utilizes several of the principles that you have been reading
about in this chapter. First, a solution of barium hydroxide is
shown to conduct electricity by having the electrodes from a
conductivity tester immersed in the solution and observing
that a light begins to shine. Then a solution of sulfuric acid is
slowly added.A white precipitate begins to form,and the light
bulb dims. Eventually, the addition of the sulfuric acid causes
the bulb to go out. Finally, continued addition of the sulfuric
acid solution brings the bulb back on to bright light.
a. What is the identity of the white precipitate?
b. What is the net ionic equation for the reaction between
barium hydroxide and sulfuric acid?
c. What is the significance of the point at which the bulb
goes out completely?
d. Explain why continued addition of the sulfuric acid
causes the light to come back on.
87. Some chemical reactions are best done in solution. If you had
100.0 mL of 0.230 M NaOH, how many milliliters of 0.530 M
HCl would you need to have the same number of moles as
found in the NaOH solution?
88. Extreme ozone pollution is described as any concentration
greater than 0.28 ppm ozone, C, O
3
. If the density of a sample
of air containing that concentration of ozone were 1.30 g/L,
what would be the molarity of ozone in the sample? How
many molecules of ozone would be in 1 L of the air?
89. Using Table 4.3, determine the identity and formula of any
and all precipitates that are likely to form when a solution
containing NaOH and (NH
4
)
2
CO
3
is mixed with a solution
that contains CuNO
3
and BaCl
2
.
90. a. An unlabeled solution may contain either Ag
+
ions or Al
3+
ions. Using Table 4.3, determine a suitable anion solution
that, through selective precipitation, could be added to
identify the cation present in the solution.
b. Another unlabeled solution contains either nitrate ions
or sulfate ions. Using Table 4.3, determine a solution that
166 Chapter 4 Solution Stoichiometry and Types of Reactions
contains a cation that could be used in a selective precipi-
tation to determine the identity of the anion in the unla-
beled solution.
91. Barium-containing “milkshakes” are often used to obtain
X-rays of patients suffering from intestinal problems. Bar-
ium compounds can also be toxic. Barium sulfate is insoluble
in water, so it can be given to patients without concern that it
would be absorbed. It is also opaque to X-rays. Write the
molecular and ionic balanced equations for the formation of
BaSO
4
(s) from Ba(NO
3
)
2
(aq) and Na
2
SO
4
(aq). How many
grams could be obtained from mixing 125.0 mL of 0.567 M
Na
2
SO
4
(aq) and 75.0 mL of 0.786 M Ba(NO
3
)
2
(aq)?
92. The reaction of gaseous dinitrogen trioxide with water can
provide aqueous nitrous acid as the product.
a. Write the balanced chemical reaction.
b. If 12.5 grams of dinitrogen trioxide treated with excess
water produced 12.5 grams of nitrous acid, what is the
percent yield of the reaction?
c. To make the nitrous acid as described in part b, the
dinitrogen trioxide was bubbled into 1.55 gallons of
water. Assuming that the amount of water remains
constant during the reaction, what is the concentration
of nitrous acid after the reaction?
93. A chef wishes to make a very lightly sweetened tea by dissolv-
ing 1.00 g fructose (C
6
H
12
O
6
) in 12 fluid ounces of tea.
a. What is the concentration of fructose in the tea in
molarity?
b. What is the concentration of fructose in ppm?
c. How many carbon atoms are there in 1.00 g of fructose?
d. How many water molecules are in the serving of tea?
Thinking Beyond the Calculation
94. Oxalic acid can be found in a variety of plants. This com-
pound is considered toxic. Therefore, it is often important
to determine the quantity in a sample. This can be done
through a redox titration.
5C
2
O
4
2−
(aq) + 16H
+
(aq) + 2MnO
4
−
(aq)
→ 2Mn
2+
(aq) + 10CO
2
(g) + 8H
2
O(l)
a. Judging on the basis of the
structure of oxalic acid shown
here, would you expect it to be
soluble or insoluble in water?
b. Write equations that illustrate the
dissolution and dissociation of
oxalic acid in water.
c. Which of the species in the bal-
anced redox reaction above is
more oxidized, oxalate (C
2
O
4
2−
)
or carbon dioxide?
d. Which of the species in the balanced redox reaction is
more oxidized, permanganate or manganese ions?
e. How many electrons are being transferred among the
reactants in the balanced redox reaction?
f. Determine which species is oxidized, and which is re-
duced, in the balanced redox reaction.
g. If a properly prepared plant sample required 33.5 mL of a
0.00976 M KMnO
4
solution to react, calculate the
number of grams of oxalic acid (H
2
C
2
O
4
) present.
Oxalic acid