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Chemistry: An Atoms-Focused Approach

Thomas R. Gilbert, Rein V. Kirss, Natalie Foster

Chapter 8

Aqueous Solutions: Chemistry of the Hydrosphere - all with Video Answers

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Chapter Questions

02:05

Problem 1

Figure P8.1 shows a solution containing three binary (HX) acids. One of them is a weak acid and the other two are strong acids. Which color sphere is formed by ionization of the weak acid?
(FIGURE CAN'T COPY)

HD
Heather Doyle
Numerade Educator
03:09

Problem 2

Figure $\mathrm{P} 8.2$ represents the products of the reaction that occurs when solutions of $\mathrm{NaCl}$ and $\mathrm{Ag} \mathrm{NO}_{3}$ are mixed together. The silver spheres represent Ag" ions. Which spheres represent (a) $\mathrm{Na}^{+} ;$ (b) $\mathrm{Cl}^{-} ;$ (c) $\mathrm{NO}_{3}^{-}$ ions? (FIGURE CAN'T COPY)

Bradley Howard
Bradley Howard
Numerade Educator
02:13

Problem 3

Figure $P 8.3$ represents the reaction mixture at the equivalence point in a titration of a sample of battery acid $\left(\mathrm{H}_{2} \mathrm{SO}_{4}\right)$ using a standard solution of $\mathrm{NaOH}$ as the titrant. Which ion is represented by the green spheres and which by the blue spheres?(FIGURE CAN'T COPY)

HD
Heather Doyle
Numerade Educator
01:56

Problem 4

Suppose that two antacid tablets each containing $0.50 \mathrm{g}$ $\mathrm{CaCO}_{3}(\mathscr{M}=100 \mathrm{g} / \mathrm{mol})$ react with $0.02 \mathrm{mol} \mathrm{HCl} .$ Which
of the images in Figure P8.4, in which green spheres represent cations and blue spheres represent anions,accurately reflects the population of ions in solution after the reaction is over?
(FIGURES CAN'T COPY)

David Collins
David Collins
Numerade Educator
02:13

Problem 5

What is the change in oxidation state of nitrogen in the reaction described by the molecular models in Figure P8.5? (Blue spheres are nitrogen; red spheres are oxygen.)(FIGURE CAN'T COPY)

HD
Heather Doyle
Numerade Educator
01:30

Problem 6

Identify the oxidizing and reducing agents in the reaction described by the molecular models in Figure P8.5.(FIGURE CAN'T COPY)

Bradley Howard
Bradley Howard
Numerade Educator
04:55

Problem 7

Rank the nitrogen oxide molecules depicted by the models in Figure $\mathrm{P} 8.7$ in order of decreasing oxidation number of the nitrogen (blue spheres) in them. (The red spheres are oxygen atoms.)(FIGURE CAN'T COPY)

HD
Heather Doyle
Numerade Educator
01:06

Problem 8

Rank the hydrocarbons depicted by the molecular models in Figure P8.8 based on decreasing oxidation state of the carbon (black spheres) in them.(FIGURE CAN'T COPY)

Bradley Howard
Bradley Howard
Numerade Educator
04:46

Problem 9

One way to follow the progress of a titration and detect its equivalence point is by monitoring the conductivity of the titration reaction mixture. For example, consider the way the conductivity of a sample of sulfuric acid changes as it is titrated with a standard solution of barium hydroxide before and then after the equivalence point.
a. Write the total ionic equation for the titration reaction.
b. Which of the four graphs in Figure P8.9 comes closest to representing the changes in conductivity during the titration? (The zero point on the $y$ -axis of these graphs represents the conductivity of pure water; the break points on the $x$ -axis represent the equivalence point in the titration.)(FIGURE CAN'T COPY)

HD
Heather Doyle
Numerade Educator
11:34

Problem 10

Use representations [A] through [I] in Figure P8.10 to answer questions a-f.
a. Which solids dissolve in water?
b. Which solids dissolve to create a solution that conducts electricity?
c. Which solutions can neutralize barium hydroxide? What would the spectator ions be?
d. Which solutions will form a precipitate upon mixing?
e. Name an aqueous solution that could be added to [A] to form the precipitate in $[\mathrm{E}]$
f. Which combination of $[\mathrm{A}],[\mathrm{B}],$ and $[\mathrm{C}]$ will cause a redox reaction?(FIGURE CAN'T COPY)

Bradley Howard
Bradley Howard
Numerade Educator
03:53

Problem 11

Calculate the molarity of each of the following solutions:
a. $0.56 \mathrm{mol} \mathrm{BaCl}_{2}$ in $100.0 \mathrm{mL}$ of solution
b. $0.200 \mathrm{mol} \mathrm{Na}_{2} \mathrm{CO}_{3}$ in $200.0 \mathrm{mL}$ of solution
c. $0.325 \mathrm{mol} \mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}$ in $250.0 \mathrm{mL}$ of solution
d. $1.48 \mathrm{mol} \mathrm{KNO}_{3}$ in $250.0 \mathrm{mL}$ of solution

HD
Heather Doyle
Numerade Educator
02:26

Problem 12

Calculate the molarity of each of the following solutions:
a. 0.150 mol urea $\left[\left(\mathrm{NH}_{2}\right)_{2} \mathrm{CO}\right]$ in $250.0 \mathrm{mL}$ of solution
b. $1.46 \mathrm{mol} \mathrm{NH}_{4} \mathrm{CH}_{3} \mathrm{CO}_{2}$ in $1.000 \mathrm{L}$ of solution
c. 1.94 mol methanol $\left(\mathrm{CH}_{3} \mathrm{OH}\right)$ in 5.000 L of solution
d. 0.045 mol sucrose $\left(\mathrm{C}_{12} \mathrm{H}_{22} \mathrm{O}_{11}\right)$ in $50.0 \mathrm{mL}$ of solution

Bradley Howard
Bradley Howard
Numerade Educator
12:11

Problem 13

Calculate the molarity of $\mathrm{Na}^{+}$ ions in each of the following solutions:
a. $0.29 M \mathrm{NaNO}_{3}$
b. $0.33 \mathrm{g} \mathrm{NaCl}$ in $25 \mathrm{mL}$ of solution
c. $0.88 M \mathrm{Na}_{2} \mathrm{SO}_{4}$
d. $0.46 \mathrm{g} \mathrm{Na}_{3} \mathrm{PO}_{4}$ in $100 \mathrm{mL}$ of solution

HD
Heather Doyle
Numerade Educator
03:38

Problem 14

Calculate the molarity of each of the following solutions:
a. $31.76 \mathrm{g} \mathrm{LiClO}_{4}$ in $475.0 \mathrm{mL}$ of solution
b. $6.37 \mathrm{g}\left(\mathrm{NH}_{4}\right)_{2} \mathrm{SO}_{4}$ in $250.0 \mathrm{mL}$ of solution
c. $2.97 \mathrm{g} \mathrm{KBr}$ in $75.0 \mathrm{mL}$ of solution
d. $0.773 \mathrm{g} \mathrm{Pb}\left(\mathrm{NO}_{3}\right)_{2}$ in $100.0 \mathrm{mL}$ of solution

Bradley Howard
Bradley Howard
Numerade Educator
01:03

Problem 15

How many grams of solute are needed to prepare each of the following solutions?
a. $1.000 \mathrm{L}$ of $0.200 M \mathrm{NaCl}$
b. $250.0 \mathrm{mL}$ of $0.125 M \mathrm{CuSO}_{4}$
c. $500.0 \mathrm{mL}$ of $0.400 M \mathrm{CH}_{3} \mathrm{OH}$

David Collins
David Collins
Numerade Educator
00:47

Problem 16

How many grams of solute are needed to prepare each of the following solutions?
a. $500.0 \mathrm{mL}$ of $0.250 M \mathrm{KBr}$
b. $25.0 \mathrm{mL}$ of $0.200 M \mathrm{NaNO}_{3}$
c. $100.0 \mathrm{mL}$ of $0.375 M \mathrm{CH}_{3} \mathrm{OH}$

David Collins
David Collins
Numerade Educator
03:48

Problem 17

The Mackenzie River in northern Canada contains, on average, $0.820 \mathrm{m} \mathrm{M} \mathrm{Ca}^{2+}, 0.430 \mathrm{m} \mathrm{M} \mathrm{Mg}^{2+}$
$0.300 \mathrm{mM} \mathrm{Na}^{+}, 0.0200 \mathrm{MK}^{+}, 0.250 \mathrm{mM} \mathrm{Cl}^{-}, 0.380 \mathrm{mM}$
$\mathrm{SO}_{4}^{2-},$ and $1.82 \mathrm{mM} \mathrm{HCO}_{3}^{-} .$ What, on average, is the
total mass of these ions in 2.75 L of Mackenzie River water?

David Collins
David Collins
Numerade Educator
04:17

Problem 18

Zinc, copper, lead, and mercury ions are toxic to Atlantic salmon at concentrations of $6.42 \times 10^{2} \mathrm{m} M, 7.16 \times$ $10^{-3} \mathrm{m} M, 0.965 \mathrm{m} M,$ and $5.00 \times 10^{-2} \mathrm{m} M,$ respectively.
What are the corresponding concentrations in milligrams per liter?

Bradley Howard
Bradley Howard
Numerade Educator
01:54

Problem 19

Calculate the number of moles of solute contained in the following volumes of aqueous solutions of four over-thecounter pharmaceuticals:
a. $0.250 \mathrm{~L}$ of $0.076 \mathrm{M}$ acetaminophen (for pain relief)
b. $2.11 \mathrm{~L}$ of $0.193 \mathrm{~m} M$ chromalyn sodium (for hay fever)
c. $0.0475 \mathrm{~L}$ of $5.73 \mathrm{~m} M$ benzocaine (in cough syrup)
d. $14.6 \mathrm{~L}$ of $27.4 \mathrm{~m} M$ Benadryl (antihistamine)

David Collins
David Collins
Numerade Educator
02:41

Problem 20

A sample of crude oil contains $3.13 \mathrm{m} M$ naphthalene,
$12.0 \mathrm{mM}$ methylnaphthalene, $23.8 \mathrm{mM}$ dimethylnaphthalene, and $14.1 \mathrm{m} M$ trimethylnaphthalene. What is the total number of moles of all the naphthalene compounds in $100.0 \mathrm{mL}$ of the oil?

Bradley Howard
Bradley Howard
Numerade Educator
10:09

Problem 21

The pesticide DDT $\left(\mathrm{C}_{14} \mathrm{H}_{9} \mathrm{Cl}_{5}\right)$ was banned in the United States in 1972 because of dire environmental impacts. Just prior to its being banned, analyses of groundwater samples in Pennsylvania between 1969 and 1971 yielded the following results:
$$\begin{array}{ccc}
\text { Location } & \text { Sample } & \text { Mass of DDT } \\
\text { Orchard } & 250.0 \mathrm{mL} & 0.030 \mathrm{mg} \\
\hline \text { Residential } & 1.750 \mathrm{L} & 0.035 \mathrm{mg} \\
\hline \text { Residential after a storm } & 50.0 \mathrm{mL} & 0.57 \mathrm{mg} \\
\hline
\end{array}$$

HD
Heather Doyle
Numerade Educator
02:21

Problem 22

Pesticide concentrations in the portion of the Rhine River that flows between Germany and France averaged $0.55 \mathrm{mg} / \mathrm{L}$ of hexachlorobenzene $\left(\mathrm{C}_{6} \mathrm{Cl}_{6}\right), 0.06 \mathrm{mg} / \mathrm{L}$
of dieldrin $\left(\mathrm{C}_{12} \mathrm{H}_{8} \mathrm{Cl}_{6} \mathrm{O}\right),$ and $1.02 \mathrm{mg} / \mathrm{L}$ of
hexachlorocyclohexane $\left(\mathrm{C}_{6} \mathrm{H}_{6} \mathrm{Cl}_{6}\right)$ between 1969 and 1975 Express these concentrations in millimoles per liter.

David Collins
David Collins
Numerade Educator
02:04

Problem 23

Tap water in North America from groundwater sources contains an average of $48 \mathrm{mg} / \mathrm{L} \mathrm{Ca}^{2+}$ ion. What is the molarity of calcium ion in this water?

Chareen Guzman
Chareen Guzman
Numerade Educator
01:11

Problem 24

The concentration of manganese in one brand of soluble plant fertilizer is $0.05 \%$ by mass. If a $20 \mathrm{g}$ sample of the fertilizer is dissolved in 2.0 L of solution, what is the molarity of dissolved Mn in the solution?

David Collins
David Collins
Numerade Educator
02:48

Problem 25

For which of the following compounds is it possible to make
a $1.0 M$ solution at $0^{\circ} \mathrm{C} ?$
a. $\mathrm{CuSO}_{4} \cdot 5 \mathrm{H}_{2} \mathrm{O},$ solubility $=23.1 \mathrm{g} / 100 \mathrm{mL}$
b. $A g N O_{3},$ solubility $=122$ g/ 100 mL
c. $\mathrm{Fe}\left(\mathrm{NO}_{3}\right)_{2} \cdot 6 \mathrm{H}_{2} \mathrm{O},$ solubility $=113 \mathrm{g} / 100 \mathrm{mL}$
d. $\mathrm{Ca}(\mathrm{OH})_{2}$, solubility $=0.185 \mathrm{g} / 100 \mathrm{mL}$

David Collins
David Collins
Numerade Educator
00:40

Problem 26

Gold in the Ocean About $6 \times 10^{9} \mathrm{g}$ of gold is thought to be dissolved in the oceans of the world. If the total volume of the oceans is $1.5 \times 10^{21} \mathrm{L},$ what is the average molarity of gold in seawater?

David Collins
David Collins
Numerade Educator
03:07

Problem 27

The concentration of $\mathrm{Mg}^{2+}$ in a sample of coastal seawater is 1.09 g/kg. What is the molarity of $\mathrm{Mg}^{2+}$ in this seawater if the seawater has a density of $1.02 \mathrm{g} / \mathrm{mL} ?$

HD
Heather Doyle
Numerade Educator
00:37

Problem 28

A typical adult body contains $6.0 \mathrm{L}$ of blood. The hemoglobin content of blood is about $15.5 \mathrm{g} /$ $100.0 \mathrm{mL}$ of blood. The approximate molar mass of hemoglobin is $64,500 \mathrm{g} / \mathrm{mol} .$ How many moles of hemoglobin are present in a typical adult?

David Collins
David Collins
Numerade Educator
01:21

Problem 29

Calculate the final concentrations of the following aqueous solutions after each has been diluted to a final volume of
$25.0 \mathrm{mL}:$
a. $1.00 \mathrm{mL}$ of $0.452 M \mathrm{Na}^{+}$
b. $2.00 \mathrm{mL}$ of $3.4 \mathrm{m} M \mathrm{LiCl}$
c. $5.00 \mathrm{mL}$ of $6.42 \times 10^{-2} \mathrm{m} M \mathrm{Zn}^{2+}$

David Collins
David Collins
Numerade Educator
02:20

Problem 30

Chemists who analyze samples for dissolved trace elements may buy standard solutions that contain $1.000 \mathrm{g} / \mathrm{L}$ concentrations of the elements. If a chemist needs to prepare $0.500 \mathrm{L}$ of a working standard that has a concentration of
$5.00 \mathrm{mg} / \mathrm{L},$ what volume of the $1.000 \mathrm{g} / \mathrm{L}$ standard is needed?

Cheryl Glor
Cheryl Glor
Numerade Educator
00:34

Problem 31

A puddle of coastal seawater, caught in a depression formed by some coastal rocks at high tide, begins to evaporate on a hot summer day as the tide goes out. If the volume of the puddle decreases to $23 \%$ of its initial volume, what is the concentration of $\mathrm{Na}^{+}$ after evaporation if it was $0.449 \mathrm{M}$ initially?

David Collins
David Collins
Numerade Educator
View

Problem 32

What volume of $2.5 \mathrm{M} \mathrm{SrCl}_{2}$ is needed to prepare $500.0 \mathrm{mL}$ of $5.0 \mathrm{m} M$ solution?

Ronald Prasad
Ronald Prasad
Numerade Educator
01:51

Problem 33

A standard dose of an over-the-counter cough suppressant for adults is $20.0 \mathrm{mL}$
A portion this size contains 35 mg of the active pharmaceutical ingredient (API). A pediatrician prescribes the drug for a 6 -year-old child, but the child may take only $10.0 \mathrm{mL}$ at a time and receive a maximum of 4.00 mg of the API. What is the concentration in $\mathrm{mg} / \mathrm{mL}$ of the adult-strength medication, and how many milliliters of it should be diluted to make $100.0 \mathrm{mL}$ of child-strength cough syrup?

David Collins
David Collins
Numerade Educator
02:42

Problem 34

The label on a bottle of "organic" liquid fertilizer concentrate states that it contains 8 grams of phosphate per $100.0 \mathrm{mL}$ and that 16 fluid ounces should be diluted with water to make 32 gallons of fertilizer to be applied to growing plants. What is the phosphate concentration in grams per liter in the diluted fertilizer?
(1 gallon $=128$ fluid ounces.)

David Collins
David Collins
Numerade Educator
00:17

Problem 35

A solution of table salt is a good conductor of electricity, but a solution containing an equal molar concentration of table sugar is not. Why?

David Collins
David Collins
Numerade Educator
00:58

Problem 36

Why can scientists use conductivity to study the mixing of freshwater and seawater in estuaries?

David Collins
David Collins
Numerade Educator
02:39

Problem 37

What are present in solutions of electrolytes that are not present in solutions of nonelectrolytes?

HD
Heather Doyle
Numerade Educator
01:04

Problem 38

The electrolyte in an electricity-generating device called a fuel cell consists of a mixture of $\mathrm{Li}_{2} \mathrm{CO}_{3}$ and $\mathrm{K}_{2} \mathrm{CO}_{3}$ heated to $650^{\circ} \mathrm{C} .$ At this temperature these ionic solids melt. Explain how the mixture of molten carbonates can conduct electricity.

David Collins
David Collins
Numerade Educator
06:19

Problem 39

Rank the following solutions on the basis of their ability to conduct electricity, starting with the most conductive:
(a) $1.0 \mathrm{M} \mathrm{NaCl} ;$ (b) $1.2 \mathrm{M} \mathrm{KCl} ;$ (c) $1.0 \mathrm{M} \mathrm{Na}_{2} \mathrm{SO}_{4}$
(d) $0.75 M$ LiCl.

Jennifer Hudspeth
Jennifer Hudspeth
Numerade Educator
00:38

Problem 40

Rank the conductivities of $1 M$ aqueous solutions of each of the following solutes, starting with the most conductive:
(a) acetic acid; (b) methanol; (c) sucrose (table sugar);
(d) hydrochloric acid.

David Collins
David Collins
Numerade Educator
03:32

Problem 41

What is the molarity of $\mathrm{Na}^{+}$ ions in a $0.025 M$ aqueous solution of (a) $\mathrm{NaBr} ;$ (b) $\mathrm{Na}_{2} \mathrm{SO}_{4} ;$ (c) $\mathrm{Na}_{3} \mathrm{PO}_{4} ?$

HD
Heather Doyle
Numerade Educator
01:34

Problem 42

What is the molarity of each ion in a $0.035 M$ aqueous solution of (a) $\mathrm{NH}_{4} \mathrm{Cl} ;$ (b) $\mathrm{Li}_{2} \mathrm{SO}_{4} ;$ (c) $\mathrm{MgBr}_{2} ?$

David Collins
David Collins
Numerade Educator
01:34

Problem 43

What chemical property of an acid makes it an acid?

HD
Heather Doyle
Numerade Educator
00:22

Problem 44

What is the difference between a strong acid and a weak acid?

David Collins
David Collins
Numerade Educator
02:05

Problem 45

Give the formulas of two strong acids and two weak acids.

HD
Heather Doyle
Numerade Educator
00:31

Problem 46

Why is $\mathrm{HSO}_{4}^{-}(a q)$ a weaker acid than $\mathrm{H}_{2} \mathrm{SO}_{4} ?$

David Collins
David Collins
Numerade Educator
01:18

Problem 47

What chemical property of a base makes it a base?

HD
Heather Doyle
Numerade Educator
00:23

Problem 48

What is the difference between a strong base and a weak base?

David Collins
David Collins
Numerade Educator
01:58

Problem 49

Give the formulas of two strong bases and two weak bases.

HD
Heather Doyle
Numerade Educator
00:20

Problem 50

Write the net ionic equation for the neutralization of a strong acid by a strong base.

David Collins
David Collins
Numerade Educator
03:15

Problem 51

For each of the following acid-base reactions, identify the acid and the base and then write the net ionic equation:
a. $\mathrm{H}_{2} \mathrm{SO}_{4}(a q)+\mathrm{Ca}(\mathrm{OH})_{2}(s) \rightarrow \mathrm{CaSO}_{4}(a q)+2 \mathrm{H}_{2} \mathrm{O}(\ell)$
b. $\mathrm{PbCO}_{3}(s)+\mathrm{H}_{2} \mathrm{SO}_{4}(a q) \rightarrow \mathrm{PbSO}_{4}(s)+\mathrm{CO}_{2}(g)+\mathrm{H}_{2} \mathrm{O}(\ell)$
c. $\mathrm{Ca}(\mathrm{OH})_{2}(s)+2 \mathrm{CH}_{3} \mathrm{COOH}(a q) \rightarrow$
$\mathrm{Ca}\left(\mathrm{CH}_{3} \mathrm{COO}\right)_{2}(a q)+2 \mathrm{H}_{2} \mathrm{O}(\ell)$

David Collins
David Collins
Numerade Educator
04:39

Problem 52

Complete and balance each of the following neutralization reactions, name the products, and write the net ionic equations.
a. $\mathrm{HI}(a q)+\mathrm{LiOH}(a q) \rightarrow$
b. $\mathrm{H}_{3} \mathrm{PO}_{4}(a q)+\mathrm{KOH}(a q) \rightarrow$
c. $\mathrm{Al}(\mathrm{OH})_{3}(s)+\mathrm{CH}_{3} \mathrm{COOH}(a q) \rightarrow$
d. $\mathrm{HNO}_{3}(a q)+\mathrm{Ba}(\mathrm{OH})_{2}(a q) \rightarrow$

David Collins
David Collins
Numerade Educator
02:36

Problem 53

Write a balanced molecular equation and a net ionic equation for the following reactions:
a. Solid magnesium hydroxide reacts with a solution of sulfuric acid.
b. Solid magnesium carbonate reacts with a solution of hydrochloric acid.
c. Ammonia gas reacts with hydrogen chloride gas.

David Collins
David Collins
Numerade Educator
03:35

Problem 54

Write a balanced molecular equation and a net ionic equation for the following reactions:
a. Solid aluminum hydroxide reacts with a solution of hydrobromic acid.
b. A solution of sulfuric acid reacts with solid sodium carbonate.
c. A solution of calcium hydroxide reacts with a solution of nitric acid.

David Collins
David Collins
Numerade Educator
01:37

Problem 55

The use of lead(II) carbonate and lead(II) hydroxide as white pigments in paint was discontinued in the United States in 1978 because these compounds dissolved in the stomachs of young children who ingested paint chips. The $\mathrm{Pb}^{2+}$ ions released when the compounds dissolve interfere with neurotransmissions in the brain, causing neurological disorders. Using net ionic equations, show why lead(II) carbonate and lead(II) hydroxide dissolve in acidic solutions.

David Collins
David Collins
Numerade Educator
00:26

Problem 56

Lawn Care Many homeowners treat their lawns with $\mathrm{CaCO}_{3}(s)$ to reduce the acidity of the soil. Write a net ionic equation for the reaction of $\mathrm{CaCO}_{3}(s)$ with a strong acid.

David Collins
David Collins
Numerade Educator
00:45

Problem 57

What is the difference between a saturated solution and a supersaturated solution?

David Collins
David Collins
Numerade Educator
01:11

Problem 58

Calcium nitrate is soluble, but calcium phosphate is not. Explain this difference in solubility

David Collins
David Collins
Numerade Educator
01:49

Problem 59

Rain and snow are commonly called "precipitation." In what way are they like a solid that forms in an aqueous solution?

HD
Heather Doyle
Numerade Educator
00:30

Problem 60

A precipitate may appear when two completely clear aqueous solutions are mixed. What circumstances are responsible for this event?

David Collins
David Collins
Numerade Educator
01:55

Problem 61

Is a saturated solution always a concentrated solution? Explain.

David Collins
David Collins
Numerade Educator
00:47

Problem 62

Honey is a concentrated solution of sugar molecules in water. Clear, viscous honey becomes cloudy after being stored for long periods. Explain how this transition illustrates supersaturation.

David Collins
David Collins
Numerade Educator
02:59

Problem 63

According to the solubility rules in Table $8.4,$ which of the following compounds have limited solubility in water?
(a) barium sulfate; (b) barium hydroxide; (c) lanthanum nitrate;
(d) sodium acetate; (e) lead hydroxide; (f) calcium phosphate

David Collins
David Collins
Numerade Educator
02:36

Problem 64

The black "smoke" that flows out of deep ocean hydrothermal vents (Figure $\overline{\mathrm{P}} 8.64$ ) is made of insoluble metal sulfides suspended in seawater. Of the following cations that are present in the water flowing up through these vents, which ones could contribute to the formation of the black smoke? $\mathrm{Na}^{+}, \mathrm{Li}^{+}, \mathrm{Mn}^{2+}, \mathrm{Fe}^{2+}, \mathrm{Ca}^{2+}$.
$\mathrm{Mg}^{2+}, \mathrm{Zn}^{2+}, \mathrm{Pb}^{2+}, \mathrm{Cu}^{2+}$
(FIGURE CAN'T COPY)

David Collins
David Collins
Numerade Educator
03:00

Problem 65

Complete and balance the chemical equations for the precipitation reactions, if any, between the following pairs of reactants, and write the net ionic equations:
a. $\operatorname{Pb}\left(\mathrm{NO}_{3}\right)_{2}(a q)+\mathrm{Na}_{2} \mathrm{SO}_{4}(a q) \rightarrow$
b. $\mathrm{NiCl}_{2}(a q)+\mathrm{NH}_{4} \mathrm{NO}_{3}(a q) \rightarrow$
c. $\operatorname{Fe} C l_{2}(a q)+N a_{2} S(a q) \rightarrow$
d. $\operatorname{MgSO}_{4}(a q)+\mathrm{BaCl}_{2}(a q) \rightarrow$

David Collins
David Collins
Numerade Educator
01:51

Problem 66

Show, with appropriate net ionic reactions, how $\mathrm{Cr}^{3+}$ and $\mathrm{Cd}^{2+}$ can be removed from wastewater by treatment with solutions of sodium hydroxide.

David Collins
David Collins
Numerade Educator
00:13

Problem 67

An aqueous solution containing $\mathrm{Ca}^{2+}, \mathrm{Cl}^{-}, \mathrm{CO}_{3}^{2-},$ and $\mathrm{NO}_{3}^{-}$ is allowed to evaporate. Which compound will precipitate first?

David Collins
David Collins
Numerade Educator
01:40

Problem 68

The solubility of $\mathrm{CaCl}_{2}$ in water at $25^{\circ} \mathrm{C}$ is $81.1 \mathrm{g} / 100 \mathrm{mL}$ at $0^{\circ} \mathrm{C}$ its solubility decreases to $59.5 \mathrm{g} / 100 \mathrm{mL} .$ Answer the following questions about an aqueous solution of $26.4 \mathrm{g}$ of $\mathrm{CaCl}_{2}$ in a volume of $37.5 \mathrm{mL}$
a. At $25^{\circ} \mathrm{C},$ is this a saturated solution?
b. If the solution is cooled to $0^{\circ} \mathrm{C},$ do you expect a precipitate to form?
c. If the solution is slowly cooled to $0^{\circ} \mathrm{C}$ and no precipitate forms, then what kind of solution is it?

David Collins
David Collins
Numerade Educator
01:11

Problem 69

Calculate the mass of $\mathrm{Mg} \mathrm{CO}_{3}$ precipitated by mixing $10.0 \mathrm{mL}$ of a $0.200 M \mathrm{Na}_{2} \mathrm{CO}_{3}$ solution with $5.00 \mathrm{mL}$ of
$0.0500 M \mathrm{Mg}\left(\mathrm{NO}_{3}\right)_{2}$ solution.

David Collins
David Collins
Numerade Educator
02:04

Problem 70

Eutrophication, the rapid growth of algae and the death of fish, may be caused by the presence of an excess of phosphates in water. Treatment plants that process sewage may add $\mathrm{Ca}(\mathrm{OH})_{2}$ (slaked lime) to water to remove phosphates before returning the water to the environment. Although the phosphates may be present in several forms, we can use HPO $_{4}^{-}$ as a representative phosphate in the net ionic equation:
$5 \mathrm{Ca}^{2+}(a q)+3 \mathrm{HPO}_{4}^{-}(a q)+4 \mathrm{OH}^{-}(a q) \rightarrow$
$$
\mathrm{Ca}_{5} \mathrm{OH}\left(\mathrm{PO}_{4}\right)_{3}(s)+3 \mathrm{H}_{2} \mathrm{O}(\ell)
$$
If phosphates (as HPO $_{4}^{-}$ ) are present at a level of $15.7 \mathrm{mg} / \mathrm{L}$ in wastewater, how much $\mathrm{Ca}(\mathrm{OH})_{2}$ would need to be added to $1.00 \times 10^{5} \mathrm{L}$ of water to precipitate $95 \%$ of the phosphate ion present?

David Collins
David Collins
Numerade Educator
01:35

Problem 71

Iron(II) can be precipitated from a slightly basic aqueous solution by bubbling oxygen through the solution, which converts $\mathrm{Fe}^{2+}$ to insoluble $\mathrm{Fe}^{3+}$ $4 \mathrm{Fe}(\mathrm{OH})^{+}(a q)+4 \mathrm{OH}^{-}(a q)+\mathrm{O}_{2}(g)+2 \mathrm{H}_{2} \mathrm{O}(\ell) \rightarrow$
$$
4 \mathrm{Fe}(\mathrm{OH})_{3}(s)
$$
How many grams of $\mathrm{O}_{2}$ are consumed to precipitate all of the iron in $75 \mathrm{mL}$ of $0.090 M \mathrm{Fe}^{2+} ?$

David Collins
David Collins
Numerade Educator
01:35

Problem 72

Given the following equation, how many grams of $\mathrm{Pb} \mathrm{CO}_{3}$ will dissolve when 1.00 L of $1.00 M \mathrm{H}^{+}$ is added to $5.00 \mathrm{g}$ of $\mathrm{PbCO}_{3} ?$
$$
\mathrm{PbCO}_{3}(s)+2 \mathrm{H}^{+}(a q) \rightarrow \mathrm{Pb}^{2+}(a q)+\mathrm{H}_{2} \mathrm{O}(\ell)+\mathrm{CO}_{2}(g)
$$

David Collins
David Collins
Numerade Educator
03:17

Problem 73

German mineral water typically contains $108-130 \mathrm{mg} / \mathrm{L}$ magnesium, whereas Italian varieties contain $50-60 \mathrm{mg} / \mathrm{L} .$ A $125.0 \mathrm{mL}$ portion of mineral water of unknown origin is reacted with exactly $3.76 \mathrm{mL}$ of a $0.0753 M$ solution of ammonium hydrogen phosphate $\left[\left(\mathrm{NH}_{4}\right)_{2} \mathrm{HPO}_{4}\right]$ to produce $6.875 \mathrm{mg}$ of magnesium ammonium phosphate (MgNH_APO,) as a solid precipitate. Is the mineral water likely to come from Germany, from Italy, or from some other source?

David Collins
David Collins
Numerade Educator
02:38

Problem 74

Rhubarb leaves contain $0.520 \mathrm{g}$ of oxalic $\operatorname{acid}\left(\mathrm{H}_{2} \mathrm{C}_{2} \mathrm{O}_{4}\right)$ per $100.0 \mathrm{g}$ of leaves. The oxalic acid can
react with calcium ion to make insoluble calcium oxalate, a major constituent of kidney stones. To study this reaction in the laboratory, 375 mL of a $0.866 M$ solution of oxalic acid is treated with excess $0.133 M$ calcium hydroxide solution.
a. How much calcium oxalate is formed in this reaction?
"b. What volume of calcium hydroxide solution is required if it must be present in $20 \%$ excess to ensure complete reaction?

David Collins
David Collins
Numerade Educator
00:21

Problem 75

How are the gains or losses of electrons related to changes in oxidation numbers?

David Collins
David Collins
Numerade Educator
00:14

Problem 76

What is the sum of the oxidation numbers of the atoms in a molecule?

David Collins
David Collins
Numerade Educator
00:25

Problem 77

What is the sum of the oxidation numbers of all the atoms in each of the following polyatomic ions? (a) $\mathrm{OH}^{-}$
(b) $\mathrm{NH}_{4}^{+} ;$ (c) $\mathrm{SO}_{4}^{2-} ;$ (d) $\mathrm{PO}_{4}^{3-}$

David Collins
David Collins
Numerade Educator
00:30

Problem 78

Gold does not dissolve in concentrated $\mathrm{H}_{2} \mathrm{SO}_{4}$ but readily dissolves in $\mathrm{H}_{2} \mathrm{SeO}_{4}$ (selenic acid). Which acid is the stronger oxidizing agent?

David Collins
David Collins
Numerade Educator
00:33

Problem 79

Silver dissolves in sulfuric acid to form silver sulfate and $\mathrm{H}_{2},$ but gold does not dissolve in sulfuric acid to form gold sulfate. Which of the two metals is the better reducing agent?

David Collins
David Collins
Numerade Educator
01:08

Problem 80

Rank the following oxoanions in order of decreasing oxidation number of chlorine: (a) $\mathrm{ClO}^{-} ;$ (b) $\mathrm{ClO}_{2}^{-}$
(c) $\mathrm{ClO}_{3}^{-} ;$ (d) $\mathrm{ClO}_{4}^{-}$

David Collins
David Collins
Numerade Educator
03:23

Problem 81

The generic formula of normal alkanes is $\mathrm{C}_{n} \mathrm{H}_{2 n+2} .$ How does the oxidation state of carbon in these compounds change with increasing $n ?$

HD
Heather Doyle
Numerade Educator
01:49

Problem 82

Why is the oxidizing agent in a redox reaction reduced and the reducing agent oxidized?

Bradley Howard
Bradley Howard
Numerade Educator
02:29

Problem 83

What is the oxidation number of chlorine in each of the following oxoacids? (a) hypochlorous acid (HC1O);
(b) chloric acid $\left(\mathrm{HClO}_{3}\right) ;$ (c) perchloric acid $\left(\mathrm{HClO}_{4}\right)$

HD
Heather Doyle
Numerade Educator
01:34

Problem 84

What is the oxidation number of nitrogen in each of the following species? (a) elemental nitrogen $\left(\mathrm{N}_{2}\right) ;$ (b) hydrazine $\left(\mathrm{N}_{2} \mathrm{H}_{4}\right) ;(\mathrm{c})$ ammonium ion $\left(\mathrm{NH}_{4}^{+}\right)$

David Collins
David Collins
Numerade Educator
02:32

Problem 85

What is the change (if any) in the oxidation state of carbon in this reaction?
$$
\mathrm{C}_{12} \mathrm{H}_{22} \mathrm{O}_{11}(s) \rightarrow 12 \mathrm{C}(s)+11 \mathrm{H}_{2} \mathrm{O}(\ell)
$$

HD
Heather Doyle
Numerade Educator
02:40

Problem 86

In one stage of the nitrogen cycle, Nitrosomonas bacteria convert ammonia and oxygen into nitrite ions.
a. What is the change in oxidation state of nitrogen during the reaction?
b. Write a balanced net ionic equation for the reaction in acidic groundwater.

David Collins
David Collins
Numerade Educator
01:24

Problem 87

Iron is oxidized in a number of chemical weathering processes. How many moles of $\mathrm{O}_{2}$ are consumed when one mole of magnetite (Fe $_{3} \mathrm{O}_{4}$ ) is converted into hematite $\left(\mathrm{Fe}_{2} \mathrm{O}_{3}\right) ?$

David Collins
David Collins
Numerade Educator
01:14

Problem 88

The mineral rhodochrosite [manganese(II) carbonate, $\left.\mathrm{MnCO}_{3}\right]$ is a commercially important source of manganese. How many moles of $\mathrm{O}_{2}$ are consumed when one mole $\mathrm{MnCO}_{3}$ is converted into $\mathrm{MnO}_{2}$ and $\mathrm{CO}_{2} ?$

David Collins
David Collins
Numerade Educator
02:47

Problem 89

The following chemical reactions have helped to shape Earth's crust. Determine the oxidation numbers of all the elements in the reactants and products, and identify which elements are oxidized and which are reduced:
a. $3 \mathrm{SiO}_{2}(s)+2 \mathrm{Fe}_{3} \mathrm{O}_{4}(s) \rightarrow 3 \mathrm{Fe}_{2} \mathrm{SiO}_{4}(s)+\mathrm{O}_{2}(g)$
b. $\operatorname{si} \mathrm{O}_{2}(s)+2 \mathrm{Fe}(s)+\mathrm{O}_{2}(g) \rightarrow \mathrm{Fe}_{2} \mathrm{SiO}_{4}(s)$
c. $4 \mathrm{FeO}(s)+\mathrm{O}_{2}(g)+6 \mathrm{H}_{2} \mathrm{O}(\ell) \rightarrow 4 \mathrm{Fe}(\mathrm{OH})_{3}(s)$

David Collins
David Collins
Numerade Educator
03:11

Problem 90

Determine the oxidation numbers of each of the elements in the following reactions, and identify which of them, if any, are oxidized or reduced:
a. $\mathrm{SiO}_{2}(s)+2 \mathrm{H}_{2} \mathrm{O}(\ell) \rightarrow \mathrm{H}_{4} \mathrm{SiO}_{4}(a q)$
b. $2 \mathrm{MnCO}_{3}(s)+\mathrm{O}_{2}(g) \rightarrow 2 \mathrm{MnO}_{2}(s)+2 \mathrm{CO}_{2}(g)$
c. $3 \mathrm{NO}_{2}(g)+\mathrm{H}_{2} \mathrm{O}(\ell) \rightarrow 2 \mathrm{NO}_{3}^{-}(a q)+\mathrm{NO}(g)+2 \mathrm{H}^{+}(a q)$

David Collins
David Collins
Numerade Educator
02:14

Problem 91

How many moles of $\mathrm{O}_{2}$ are consumed in the conversion of one mole of $\mathrm{FeCO}_{3}$ to each of the following compounds? Assume $\mathrm{CO}_{2}$ is also produced. (a) $\mathrm{Fe}_{2} \mathrm{O}_{3} ;$ (b) $\mathrm{Fe}_{3} \mathrm{O}_{4}$

David Collins
David Collins
Numerade Educator
03:15

Problem 92

Uranium is found in Earth's crust as UO, and in an assortment of compounds containing UO $_{2}^{n+}$ cations. How many moles of electrons are transferred in the conversion of one mole of $\mathrm{UO}_{2}$ to each of the following species? In which of the conversions is uranium oxidized?
(a) $\mathrm{UO}_{2}\left(\mathrm{CO}_{3}\right)_{3}^{4-}(a q) ;$ (b) $\mathrm{UO}_{2}\left(\mathrm{HPO}_{4}\right)_{2}^{2-}(a q)$

David Collins
David Collins
Numerade Educator
02:10

Problem 93

Nitrogen in the hydrosphere is found primarily as ammonium ions and nitrate ions. Complete and balance the following chemical equation for the oxidation of ammonium ions to nitrate ions in acid solution:
$$
\mathrm{NH}_{4}^{+}(a q)+\mathrm{O}_{2}(g) \rightarrow \mathrm{NO}_{3}^{-}(a q)
$$

HD
Heather Doyle
Numerade Educator
01:46

Problem 94

In sediments and waterlogged soil, dissolved $\mathrm{O}_{2}$ concentrations are so low that the microorganisms living there must rely on other sources of oxygen for respiration. Some bacteria can extract the oxygen from sulfate ions, reducing the sulfur in them to hydrogen sulfide gas and giving the sediments or soil a distinctive rotten-egg odor.
a. What is the change in oxidation state of sulfur as a result of this reaction?
b. Write the balanced net ionic equation for the reaction under acidic conditions, which releases $\mathrm{O}_{2}$ from sulfate and forms hydrogen sulfide gas.

David Collins
David Collins
Numerade Educator
03:24

Problem 95

The solubilities of Fe and Mn compounds in freshwater streams are affected by changes in the oxidation states of these metals. Complete and balance the following redox reaction for slightly acidic freshwater:
$$
\mathrm{Fe}(\mathrm{OH})_{2}^{+}(a q)+\mathrm{Mn}^{2+}(a q) \rightarrow \mathrm{MnO}_{2}(s)+\mathrm{Fe}^{2+}(a q)
$$

David Collins
David Collins
Numerade Educator
07:49

Problem 96

A method for determining the quantity of dissolved oxygen in natural waters requires a series of redox reactions. Balance the following chemical equations in that series
under the conditions indicated:
a. $\mathrm{Mn}^{2+}(a q)+\mathrm{O}_{2}(g) \rightarrow \mathrm{MnO}_{2}(s)$ (basic solution)
b. $\mathrm{MnO}_{2}(s)+\mathrm{I}^{-}(a q) \rightarrow \mathrm{Mn}^{2+}(a q)+\mathrm{I}_{2}(s)$ (acidic solution)
c. $\mathrm{I}_{2}(s)+\mathrm{S}_{2} \mathrm{O}_{3}^{2-}(a q) \rightarrow$
$\mathrm{I}^{-}(a q)+\mathrm{S}_{4} \mathrm{O}_{6}^{2-}(a q) \quad$ (neutral solution)

David Collins
David Collins
Numerade Educator
04:14

Problem 97

Silver can be extracted from rocks using cyanide ion. Complete and balance the following reaction for this process:
$\mathrm{Ag}(s)+\mathrm{CN}^{-}(a q)+\mathrm{O}_{2}(g) \rightarrow$
$\mathrm{Ag}(\mathrm{CN})_{2}-(a q) \quad$ (basic solution)

HD
Heather Doyle
Numerade Educator
10:25

Problem 98

Permanganate ion $\left(\mathrm{MnO}_{4}^{-}\right)$ is used in water purification to remove oxidizable substances. Complete and balance the following reactions for the removal of sulfide, cyanide, and sulfite. Assume that reaction conditions are basic:
a. $\mathrm{MnO}_{4}^{-}(a q)+\mathrm{S}^{2-}(a q) \rightarrow \mathrm{MnS}(s)+\mathrm{S}_{8}(s)$
b. $\mathrm{MnO}_{4}^{-}(a q)+\mathrm{CN}^{-}(a q) \rightarrow \mathrm{MnO}_{2}(s)+\mathrm{CNO}^{-}(a q)$
c. $\operatorname{Mn} \mathrm{O}_{4}^{-}(a q)+\mathrm{SO}_{3}^{2-}(a q) \rightarrow \mathrm{MnO}_{2}(s)+\mathrm{SO}_{4}^{2-}(a q)$

David Collins
David Collins
Numerade Educator
01:29

Problem 99

The water-soluble gas $\mathrm{ClO}_{2}$ is known as an oxidative biocide. It destroys bacteria by oxidizing their cell walls and viruses by attacking their viral envelopes. $\mathrm{ClO}_{2}$ may be prepared for use as a decontaminating agent from several different starting materials in slightly acidic solutions. Complete and balance the following chemical reactions for the synthesis of $\mathrm{ClO}_{2}$
a. $\mathrm{ClO}_{3}^{-}(a q)+\mathrm{SO}_{2}(g) \rightarrow \mathrm{ClO}_{2}(g)+\mathrm{SO}_{4}^{2-}(a q)$
b. $\mathrm{ClO}_{3}^{-}(a q)+\mathrm{Cl}^{-}(a q) \rightarrow \mathrm{ClO}_{2}(g)+\mathrm{Cl}_{2}(g)$
c. $\mathrm{ClO}_{3}^{-}(a q)+\mathrm{Cl}_{2}(g) \rightarrow \mathrm{ClO}_{2}(g)+\mathrm{O}_{2}(g)$

Anand Jangid
Anand Jangid
Numerade Educator
02:14

Problem 100

Toxic cyanide ions can be removed from wastewater by adding hypochlorite:
$2 \mathrm{CN}^{-}(a q)+5 \mathrm{OCl}^{-}(a q)+\mathrm{H}_{2} \mathrm{O}(\ell) \rightarrow$
$$
\mathrm{N}_{2}(g)+2 \mathrm{HCO}_{3}^{-}(a q)+5 \mathrm{Cl}^{-}(a q)
$$
a. Identify the oxidizing agent in this reaction.
b. How many liters of $0.125 M$ OCl $^{-}$ are required to remove the $\mathrm{CN}^{-}$ in $3.4 \times 10^{6} \mathrm{L}$ of wastewater in which the CN $^{-}$ concentration is $0.58 \mathrm{mg} / \mathrm{L} ?$

David Collins
David Collins
Numerade Educator
02:44

Problem 101

How many milliliters of $0.100 M$ NaOH are required to neutralize the following solutions?
a. $10.0 \mathrm{mL}$ of $0.0500 M \mathrm{HCl}$
b. $25.0 \mathrm{mL}$ of $0.126 M \mathrm{HNO}_{3}$
c. $50.0 \mathrm{mL}$ of $0.215 M \mathrm{H}_{2} \mathrm{SO}_{4}$

David Collins
David Collins
Numerade Educator
02:35

Problem 102

How many milliliters of $0.100 M$ HNO $_{3}$ are needed to neutralize the following solutions?
a. $45.0 \mathrm{mL}$ of $0.667 M \mathrm{KOH}$
b. $58.5 \mathrm{mL}$ of $0.0100 M \mathrm{Al}(\mathrm{OH})_{3}$
c. $34.7 \mathrm{mL}$ of $0.775 M \mathrm{NaOH}$

David Collins
David Collins
Numerade Educator
00:48

Problem 103

The solubility of slaked lime, $\mathrm{Ca}(\mathrm{OH})_{2},$ in water at $20^{\circ} \mathrm{C}$ is $0.185 \mathrm{g} / 100.0 \mathrm{mL} .$ What volume of $0.00100 M \mathrm{HCl}$
is needed to neutralize $10.0 \mathrm{mL}$ of a saturated $\mathrm{Ca}(\mathrm{OH})_{2}$ solution?

David Collins
David Collins
Numerade Educator
01:38

Problem 104

The solubility of magnesium hydroxide, $\mathrm{Mg}(\mathrm{OH})_{2},$ in water is $9.0 \times 10^{-4} \mathrm{g} / 100.0 \mathrm{mL} .$ What volume of $0.00100 M \mathrm{HNO}_{3}$ is required to neutralize $1.00 \mathrm{L}$ of a saturated Mg(OH), solution?

David Collins
David Collins
Numerade Educator
02:08

Problem 105

Chlorinity of Seawater Scientists can precisely determine the chloride ion concentration, or chlorinity, of seawater samples using a titration called the Mohr method. The titrant is a solution of $\mathrm{AgNO}_{3} .$ The indicator is a few drops of $\mathrm{K}_{2} \mathrm{CrO}_{4}$ solution, which imparts a light yellow color to the titration mixture before the equivalence point (Figure P8.105a). However, after all the $\mathrm{Cl}^{-}$ ions have been precipitated as AgCl, the first excess of $\mathrm{Ag}^{+}$ ions combines with $\mathrm{CrO}_{4}^{2-}$ ions to form $\mathrm{Ag}_{2} \mathrm{CrO}_{4},$ which makes the milky suspension of $\mathrm{AgCl}$ look pink (Figure $\mathrm{P} 8.105 \mathrm{b}$ ). If it takes $27.80 \mathrm{mL}$ of $0.5000 M$ $\mathrm{AgNO}_{3}$ to titrate a $25.00 \mathrm{mL}$ sample of seawater, what is the concentration of $\mathrm{Cl}^{-}$ in the sample? Express your answer in $\mathrm{m} M \text { and in } \mathrm{g} / \mathrm{kg} \text { (the density of the sample is } 1.025 \mathrm{g} / \mathrm{mL})$
(FIGURE CAN'T COPY)

David Collins
David Collins
Numerade Educator
01:27

Problem 106

Lactic acid accumulates in muscle when glucose is metabolized under conditions where oxygen is the limiting reagent. Lactic acid has one carboxylic acid functional group per molecule (Figure $\mathrm{P} 8.106$ ). To determine the concentration of a solution of lactic acid, a chemist titrates a $20.00 \mathrm{mL}$ sample of it with $0.1010 M \mathrm{NaOH}$ and finds that $12.77 \mathrm{mL}$ of titrant is required to reach the equivalence point. What is the molarity of the lactic acid solution?
(FIGURE CAN'T COPY)

David Collins
David Collins
Numerade Educator
00:55

Problem 107

Explain how a mixture of anion and cation exchangers can be used to deionize water.

David Collins
David Collins
Numerade Educator
01:21

Problem 108

Describe the process by which the ion exchanger in a home water softener is regenerated for further use.

David Collins
David Collins
Numerade Educator
00:59

Problem 109

What would be the advantage in using a $\mathrm{K}^{+}$ resin rather than a $\mathrm{Na}^{+}$ resin to soften water?

David Collins
David Collins
Numerade Educator
00:32

Problem 110

A piece of Zn metal is placed in a solution containing $\mathrm{Cu}^{2+}$ ions. At the surface of the Zn metal, $\mathrm{Cu}^{2+}$ ions react with Zn atoms, forming Cu atoms and $\mathrm{Zn}^{2+}$ ions. Is this reaction an example of ion exchange? Explain why or why not.

David Collins
David Collins
Numerade Educator
01:32

Problem 111

To determine the concentration of $\mathrm{SO}_{4}^{2-}$ ion in a sample of groundwater, $100.0 \mathrm{mL}$ of the sample is titrated with $0.0250 M \mathrm{Ba}\left(\mathrm{NO}_{3}\right)_{2},$ forming insoluble $\mathrm{BaSO}_{4} .$ If $3.19 \mathrm{mL}$
of the $\mathrm{Ba}\left(\mathrm{NO}_{3}\right)_{2}$ solution is required to reach the end point of the titration, what is the molarity of the $\mathrm{SO}_{4}^{2-} ?$

David Collins
David Collins
Numerade Educator
03:42

Problem 112

Ethylene glycol is the common name for the liquid used to keep the coolant in automobile cooling systems from freezing. It is $38.7 \%$ carbon, $9.7 \%$ hydrogen, and $51.6 \%$ oxygen by mass. Its molar mass is $62.07 \mathrm{g} / \mathrm{mol}$ and its density is $1.106 \mathrm{g} / \mathrm{mL}$ at $20^{\circ} \mathrm{C}$
a. What is the empirical formula of ethylene glycol?
b. What is the molecular formula of ethylene glycol?
c. In a solution prepared by mixing equal volumes of water and ethylene glycol, which ingredient is the solute and which is the solvent?

David Collins
David Collins
Numerade Educator
02:53

Problem 113

According to the label on a bottle of concentrated hydrochloric acid, the contents are $36.0 \%$ HCl by mass and have a density of $1.18 \mathrm{g} / \mathrm{mL}$
a. What is the molarity of this concentrated HCl?
b. What volume of it would you need to prepare $0.250 \mathrm{L}$ of $2.00 \mathrm{MHCl} ?$
c. What mass of sodium hydrogen carbonate would be needed to neutralize the spill if a bottle containing
1.75 L of this concentrated HCl dropped on a lab floor and broke open?

David Collins
David Collins
Numerade Educator
05:01

Problem 114

Chlorine was first prepared in 1774 by heating a mixture of $\mathrm{NaCl}$ and $\mathrm{MnO}_{2}$ in sulfuric acid:
$$\begin{aligned}
\mathrm{NaCl}(a q)+\mathrm{H}_{2} \mathrm{SO}_{4}(a q)+\mathrm{MnO}_{2}(s) & \rightarrow \\
& \mathrm{Na}_{2} \mathrm{SO}_{4}(a q)+\mathrm{MnCl}_{2}(a q)+\mathrm{H}_{2} \mathrm{O}(\ell)+\mathrm{Cl}_{2}(g)
\end{aligned}$$a. Assign oxidation numbers to the elements in each compound, and balance the redox reaction in acid solution.
b. Write a net ionic equation describing the reaction for the formation of chlorine.
c. If chlorine gas is inhaled, it causes pulmonary edema (fluid in the lungs) because it reacts with water in the alveolar sacs of the lungs to produce the strong acid $\mathrm{HCl}$ and the weaker acid HOC1. Balance the equation for the conversion of $\mathrm{Cl}_{2}$ to $\mathrm{HCl}$ and $\mathrm{HOCl}$.

David Collins
David Collins
Numerade Educator
09:04

Problem 115

When a solution of dithionite ions $\left(\mathrm{S}_{2} \mathrm{O}_{4}^{2-}\right)$ is added to a solution of chromate ions $\left(\mathrm{CrO}_{4}^{2-}\right),$ the products of the ensuing chemical reaction that occurs under basic conditions include soluble sulfite ions and solid chromium(III) hydroxide. This reaction is used to remove $\mathrm{Cr}^{6+}$ from wastewater generated by factories that make chrome-plated metals.
a. Write the net ionic equation for this redox reaction.
b. Which element is oxidized and which is reduced?
c. Identify the oxidizing and reducing agents in the reaction.
d. How many grams of sodium dithionite would be needed to remove the $\mathrm{Cr}^{6+}$ in $100.0 \mathrm{L}$ of wastewater that contains $0.00148 M$ chromate ion?

David Collins
David Collins
Numerade Educator
02:57

Problem 116

A prototype battery based on iron compounds with large, positive oxidation numbers was developed in $1999 .$ In the following reactions, assign oxidation numbers to the clements in each compound and balance the redox reactions in basic solution:
a. $\mathrm{FeO}_{4}^{2-}(a q)+\mathrm{H}_{2} \mathrm{O}(\ell) \rightarrow \mathrm{FeOOH}(s)+\mathrm{O}_{2}(g)+\mathrm{OH}^{-}(a q)$
b. $\mathrm{FeO}_{4}^{2-}(a q)+\mathrm{H}_{2} \mathrm{O}(\ell) \rightarrow \mathrm{Fe}_{2} \mathrm{O}_{3}(s)+\mathrm{O}_{2}(g)+\mathrm{OH}^{-}(a q)$

David Collins
David Collins
Numerade Educator
03:29

Problem 117

Silver tarnish is the result of silver metal reacting with sulfur compounds, such as $\mathrm{H}_{2} \mathrm{S},$ and $\mathrm{O}_{2}$ in the air. The tarnish on silverware $\left(\mathrm{Ag}_{2} \mathrm{S}\right)$ can be removed by soaking the silverware in a slightly basic solution of $\mathrm{NaHCO}_{3}$ (baking soda) in a basin lined with aluminum foil.
a. Write a balanced chemical equation for the tarnish formation reaction.
b. Write a balanced net ionic equation for the tarnish removal process in which Ag_S S reacts with A1 metal, forming $\mathrm{Al}(\mathrm{OH})_{3}(s), \mathrm{Ag}$ metal, and $\mathrm{HS}^{-}$ ions.

David Collins
David Collins
Numerade Educator
01:32

Problem 118

Give the formulas of the acids formed in the following chemical reactions of chlorine oxides.
a. $\mathrm{ClO}+\mathrm{H}_{2} \mathrm{O} \rightarrow ?+?$
b. $\mathrm{Cl}_{2} \mathrm{O}+\mathrm{H}_{2} \mathrm{O} \rightarrow \mathrm{HCl}+?$
c. $\mathrm{Cl}_{2} \mathrm{O}_{6}+\mathrm{H}_{2} \mathrm{O} \rightarrow ?+?$

David Collins
David Collins
Numerade Educator
00:48

Problem 119

Many nonmetal oxides react with water to form acidic solutions. Give the formulas of the acids produced in the following reactions:
a. $P_{4} O_{10}+6 H_{2} O \rightarrow ?$
b. $\mathrm{SeO}_{2}+\mathrm{H}_{2} \mathrm{O} \rightarrow ?$
c. $\mathrm{B}_{2} \mathrm{O}_{3}+3 \mathrm{H}_{2} \mathrm{O} \rightarrow ?$

David Collins
David Collins
Numerade Educator
01:36

Problem 120

Write net ionic equations for the reactions that occur when
a. a sample of acetic acid is titrated with a solution of $\mathrm{KOH}$
b. a solution of sodium carbonate is mixed with a solution of calcium chloride.
c. calcium oxide dissolves in water.

David Collins
David Collins
Numerade Educator
01:58

Problem 121

One way to determine the concentration of hypochlorite ions $\left(\mathrm{ClO}^{-}\right)$ in solution is by first reacting them with $\mathrm{I}^{-}$ ions. Under acidic conditions the products of the reaction are $I_{2}$ and $C 1^{-}$ ions. Then the $I_{2}$ produced in the first reaction is titrated with a solution of thiosulfate ions $\left(\mathrm{S}_{2} \mathrm{O}_{3}^{2-}\right) .$ The products of the titration reaction are $\mathrm{S}_{4} \mathrm{O}_{6}^{2-}$
and $I^{-}$ions. Write net ionic equations for the two reactions.

David Collins
David Collins
Numerade Educator
01:35

Problem 122

Sodium fluoride is added to drinking water in many municipalities to protect teeth against cavities. The target of the fluoridation is hydroxyapatite, $\mathrm{Ca}_{10}\left(\mathrm{PO}_{4}\right)_{6}(\mathrm{OH})_{2},$ a compound in tooth enamel. There is concern, however, that fluoride ions in water may contribute to skeletal fluorosis, an arthritis-like disease.
a. Write a net ionic equation for the reaction between hydroxyapatite and sodium fluoride that produces fluorapatite, $\mathrm{Ca}_{10}\left(\mathrm{PO}_{4}\right)_{6} \mathrm{F}_{2}$
b. The U.S. EPA currently restricts the concentration of $\mathrm{F}^{-}$ in drinking water to $4 \mathrm{mg} / \mathrm{L}$. Express this concentration of $F^{-}$ in molarity.
c. One study of skeletal fluorosis suggests that drinking water with a fluoride concentration of $4 \mathrm{mg} / \mathrm{L}$ for
20 years raises the fluoride content in bone to $6 \mathrm{mg} / \mathrm{g}$, a level at which a patient may experience stiff joints and other symptoms. How much fluoride (in milligrams) is present in a 100 mg sample of bone with this fluoride concentration?

David Collins
David Collins
Numerade Educator
02:55

Problem 123

Near Las Vegas, NV, improper disposal of perchlorates used to manufacture rocket fuel contaminated a stream flowing into Lake Mead, the largest artificial lake in the United States and a major supply of drinking and irrigation water for the American Southwest. The U.S. EPA has proposed an advisory range for perchlorate concentrations in drinking water of 4 to $18 \mu \mathrm{g} / \mathrm{L} .$ The perchlorate concentration in the stream averages $700.0 \mu \mathrm{g} / \mathrm{L},$ and the stream flows at an average rate of 161 million gallons per day $(1 \text { gal }=3.785$ L)
a. What are the formulas of sodium perchlorate and ammonium perchlorate?
b. How many kilograms of perchlorate flow from the Las Vegas stream into Lake Mead each day?
c. What volume of perchlorate-free lake water would have to mix with the stream water each day to dilute the stream's perchlorate concentration from 700.0 to $4 \mu \mathrm{g} / \mathrm{L} ?$
d. since $2003,$ the states of Maryland, Massachusetts, and New Mexico have limited perchlorate concentrations in drinking water to $0.1 \mu \mathrm{g} / \mathrm{L} .$ Five replicate samples were analyzed for perchlorates by laboratories in each state, and the following data ( $\mu \mathrm{g} / \mathrm{L}$ ) were collected:
$$\begin{array}{ccc}
\mathrm{MD} & \mathrm{MA} & \mathrm{NM} \\
1.1 & 0.90 & 1.2 \\
\hline 1.1 & 0.95 & 1.2 \\
\hline 1.4 & 0.92 & 1.3 \\
\hline 1.3 & 0.90 & 1.4 \\
\hline 0.9 & 0.93 & 1.1 \\
\hline
\end{array}$$Which of the labs produced the most precise analytical results?

David Collins
David Collins
Numerade Educator
07:01

Problem 124

The amount of ascorbic acid (vitamin $\mathrm{C})$ in fruit juice is determined by a titration using a redox reaction. Iodine is the titrant, but because iodine solutions in water are unstable, the iodine is generated by a reaction in which a titrant containing iodate $\left(\mathrm{IO}_{3}^{-}\right)$ ions is added to a solution containing the juice sample, iodide ions However, any iodine formed by reaction (i) is immediately reduced back to iodide by ascorbic acid from the juice sample:
ii. $\mathrm{C}_{6} \mathrm{H}_{8} \mathrm{O}_{6}(a q)+\mathrm{I}_{2}(a q) \rightarrow$
$$
\mathrm{C}_{6} \mathrm{H}_{6} \mathrm{O}_{6}(a q)+2 \mathrm{I}^{-}(a q)+2 \mathrm{H}^{+}(a q)
$$

(I $^{-}$ ), and a few drops of a starch solution that turns dark blue in the presence of iodine. Iodate ions are reduced to iodine
$\left(\mathrm{I}_{2}\right)$ while iodide ions are oxidized to iodine:
i. $\mathrm{IO}_{3}^{-}(a q)+\mathrm{I}^{-}(a q) \rightarrow \mathrm{I}_{2}(a q)$ (not balanced)However, any iodine formed by reaction (i) is immediately reduced back to iodide by ascorbic acid from the juice sample:
ii. $\mathrm{C}_{6} \mathrm{H}_{8} \mathrm{O}_{6}(a q)+\mathrm{I}_{2}(a q) \rightarrow$
$$
\mathrm{C}_{6} \mathrm{H}_{6} \mathrm{O}_{6}(a q)+2 \mathrm{I}^{-}(a q)+2 \mathrm{H}^{+}(a q)
$$
(FIGURE CAN'T COPY)

David Collins
David Collins
Numerade Educator
02:55

Problem 125

Some people who prefer natural foods make their own apple cider vinegar. They start with freshly squeezed apple juice that contains about $6 \%$ natural sugars. These sugars, which all have nearly the same empirical formula, $\mathrm{CH}_{2} \mathrm{O},$ are fermented with yeast in a chemical reaction that produces equal numbers of moles of ethanol $\left(\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{OH}\right)$ and carbon dioxide. The product of fermentation, called hard cider, undergoes an acid fermentation step in which ethanol and dissolved oxygen gas react together to form acetic acid (CH $_{3} \mathrm{COOH}$ ) and water. This acetic acid is the principal solute in vinegar.
a. Write a balanced chemical equation for the fermentation of natural sugars to ethanol and carbon dioxide. You may use in the equation the empirical formula given in the preceding paragraph.
b. Write a balanced chemical equation for the acid fermentation of ethanol to acetic acid.
c. What are the oxidation states of carbon in the reactants and products of the two fermentation reactions?
d. If a sample of apple juice contains $1.00 \times 10^{2} \mathrm{g}$ of natural sugar, what is the maximum quantity of acetic acid that could be produced by the two fermentation reactions?

David Collins
David Collins
Numerade Educator
01:23

Problem 126

A food chemist determines the concentration of acetic acid in a sample of apple cider vinegar (see Problem 8.125 ) by acid-base titration. What is the concentration of acetic acid in the vinegar if the density of the sample is $1.01 \mathrm{g} / \mathrm{mL},$ the titrant is $1.002 M$ a $\mathrm{OH}$, and the average volume of titrant required to titrate $25.00 \mathrm{mL}$ subsamples of the vinegar is
$20.78 \mathrm{mL} ?$ Express your answer the way a food chemist probably would: as percent by mass.

David Collins
David Collins
Numerade Educator
01:35

Problem 127

The stalactites and stalagmites in most caves are made of calcium carbonate (see Figure 8.10 ). In the Lower Kane Cave in Wyoming, however, they are made of gypsum (calcium sulfate). The presence of $\mathrm{CaSO}_{4}$ is explained by the following sequence of reactions:
$$
\begin{array}{c}
\mathrm{H}_{2} \mathrm{S}(a q)+2 \mathrm{O}_{2}(g) \rightarrow \mathrm{H}_{2} \mathrm{SO}_{4}(a q) \\
\mathrm{H}_{2} \mathrm{SO}_{4}(a q)+\mathrm{CaCO}_{3}(s) \rightarrow \mathrm{CaSO}_{4}(s)+\mathrm{H}_{2} \mathrm{O}(\ell)+\mathrm{CO}_{2}(g)
\end{array}
$$
a. Which (if either) of these reactions is a redox reaction?
b. Write a net ionic equation for the reaction of $\mathrm{H}_{2} \mathrm{SO}_{4}$ with $\mathrm{CaCO}_{3}$
c. How would the net ionic equation be different if the reaction were written as follows?
$$
\mathrm{H}_{2} \mathrm{SO}_{4}(a q)+\mathrm{CaCO}_{3}(s) \rightarrow \mathrm{CaSO}_{4}(s)+\mathrm{H}_{2} \mathrm{CO}_{3}(a q)
$$

David Collins
David Collins
Numerade Educator
01:47

Problem 128

Dolomite is a mixed carbonate mineral (Figure $\mathrm{P} 8.128$ ) with the formula $\mathrm{Mg} \mathrm{Ca}\left(\mathrm{CO}_{3}\right)_{2}$ Gardeners add dolomite granules to soil and potting mixes to reduce acidity and provide a source of $\mathrm{Mg}^{2+}$ ions, which plants need to grow. Would a 50 -pound bag of dolomite granules neutralize more acid than a 50 -pound bag of limestone (CaCO $_{3}$ ) granules? How much more? Express your answer as a percentage.(FIGURE CAN'T COPY)

David Collins
David Collins
Numerade Educator
05:12

Problem 129

Which of the following reactions of calcium compounds is or are redox reactions?
a. $\mathrm{CaCO}_{3}(s) \rightarrow \mathrm{CaO}(s)+\mathrm{CO}_{2}(g)$
b. $\mathrm{CaO}(s)+\mathrm{SO}_{2}(g) \rightarrow \mathrm{CaSO}_{3}(s)$
c. $\mathrm{CaCl}_{2}(s) \rightarrow \mathrm{Ca}(s)+\mathrm{Cl}_{2}(g)$
d. $3 \mathrm{Ca}(s)+\mathrm{N}_{2}(g) \rightarrow \mathrm{Ca}_{3} \mathrm{N}_{2}(s)$

HD
Heather Doyle
Numerade Educator
01:44

Problem 130

HF is prepared by reacting $\mathrm{CaF}_{2}$ with $\mathrm{H}_{2} \mathrm{SO}_{4}:$
$$
\mathrm{CaF}_{2}(s)+\mathrm{H}_{2} \mathrm{SO}_{4}(\ell) \rightarrow 2 \mathrm{HF}(g)+\mathrm{CaSO}_{4}(s)
$$
HF can be electrolyzed, in turn, when dissolved in molten KF to produce fluorine gas:
$$
2 \mathrm{HF}(\ell) \rightarrow \mathrm{F}_{2}(g)+\mathrm{H}_{2}(g)
$$
Fluorine is extremely reactive, so it is typically sold as a $5 \%$ mixture by volume in an inert gas such as helium. How much $\mathrm{CaF}_{2}$ is required to produce $500.0 \mathrm{L}$ of $5 \% \mathrm{F}_{2}$ in helium? Assume the density of $\mathrm{F}_{2}$ gas is $1.70 \mathrm{g} / \mathrm{L}$

David Collins
David Collins
Numerade Educator