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Chemistry

Steven S. Zumdahl, Susan A. Zumdahls

Chapter 19

he Representative Elements: Groups 1A Through 4A - all with Video Answers

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Chapter Questions

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Problem 1

Although the earth was formed from the same interstellar material as the sun, there is little elemental hydrogen $\left(\mathrm{H}_{2}\right)$ in the earth's atmosphere. Explain.

Michaelle Lubich
Michaelle Lubich
Numerade Educator
01:16

Problem 2

Many lithium salts are hygroscopic (absorb water), whereas the corresponding salts of the other alkali metals are not. Explain.

Anand Jangid
Anand Jangid
Numerade Educator
02:23

Problem 3

How do the acidities of the aqueous solutions of the alkaline earth metal ions $\left(\mathrm{M}^{2+}\right)$ change in going down the group?

Christina Lollar
Christina Lollar
Numerade Educator
01:27

Problem 4

What are three-centered bonds?

LJ
Lena Jake
Numerade Educator
01:46

Problem 5

Why is graphite a good lubricant? What advantages does it have over grease- or oil-based lubricants?

Anand Jangid
Anand Jangid
Numerade Educator
01:09

Problem 6

What are some of the structural differences between quartz and amorphous $\mathrm{SiO}_{2}$ ?

Anand Jangid
Anand Jangid
Numerade Educator
01:39

Problem 7

What type of semiconductor is formed when a Group 3 A element is added as an impurity to $\mathrm{Si}$ or $\mathrm{Ge}$ ?

Anand Jangid
Anand Jangid
Numerade Educator
06:06

Problem 8

Diagonal relationships in the periodic table exist as well as the vertical relationships. For example, Be and $\mathrm{Al}$ are similar in some of their properties as are $\mathrm{B}$ and Si. Rationalize why these diagonal relationships hold for properties such as size, ionization energy, and electron affinity.

James Irizarry
James Irizarry
Numerade Educator
02:21

Problem 9

Atomic size seems to play an important role in explaining some of the differences between the first element in a group and the subsequent group elements. Explain.

Aadit Sharma
Aadit Sharma
Numerade Educator
02:47

Problem 10

What will be the atomic number of the next alkali metal to be discovered? How would you expect the physical properties of the next alkali metal to compare with the properties of the other alkali metals summarized in Table $19.4$ ?

Anand Jangid
Anand Jangid
Numerade Educator
06:57

Problem 11

In most compounds, the solid phase is denser than the liquid phase. Why isn't this true for water?

Michaelle Lubich
Michaelle Lubich
Numerade Educator
01:34

Problem 12

Beryllium shows some covalent characteristics in some of its compounds, unlike the other alkaline earth halides. Give a possible explanation for this phenomenon.

Lottie Adams
Lottie Adams
Numerade Educator
05:06

Problem 13

Hydrogen is produced commercially by the reaction of methane with steam:
$$
\mathrm{CH}_{4}(g)+\mathrm{H}_{2} \mathrm{O}(g) \rightleftharpoons \mathrm{CO}(g)+3 \mathrm{H}_{2}(g)
$$
a. Calculate $\Delta H^{\circ}$ and $\Delta S^{\circ}$ for this reaction (use the data in Appendix 4 ).
b. What temperatures will favor product formation at standard conditions? Assume $\Delta H^{\circ}$ and $\Delta S^{\circ}$ do not depend on temperature.

Aadit Sharma
Aadit Sharma
Numerade Educator
12:18

Problem 14

The major industrial use of hydrogen is in the production of ammonia by the Haber process:
$$
3 \mathrm{H}_{2}(g)+\mathrm{N}_{2}(g) \rightarrow 2 \mathrm{NH}_{3}(g)
$$
a. Using data from Appendix 4 , calculate $\Delta H^{\circ}, \Delta S^{\circ}$, and $\Delta G^{\circ}$ for the Haber process reaction.
b. Is the reaction spontaneous at standard conditions?
c. At what temperatures is the reaction spontaneous at standard conditions? Assume $\Delta H^{\circ}$ and $\Delta S^{\circ}$ do not depend on temperature.

Matthew Bittner
Matthew Bittner
Numerade Educator
01:12

Problem 15

Name each of the following compounds.
a. $\mathrm{Li}_{2} \mathrm{O}$
b. $\mathrm{KO}_{2}$
c. $\mathrm{Na}_{2} \mathrm{O}_{2}$

Anand Jangid
Anand Jangid
Numerade Educator
01:15

Problem 16

Write the formula for each of the following compounds.
a. lithium nitride
c. rubidium hydroxide
b. potassium carbonate
d. sodium hydride

Anand Jangid
Anand Jangid
Numerade Educator
01:16

Problem 17

Complete and balance the following reactions.
a. $\mathrm{Li}_{2} \mathrm{O}(s)+\mathrm{H}_{2} \mathrm{O}(l) \longrightarrow$
b. $\mathrm{Na}_{2} \mathrm{O}_{2}(s)+\mathrm{H}_{2} \mathrm{O}(l) \longrightarrow$
c. $\mathrm{LiH}(s)+\mathrm{H}_{2} \mathrm{O}(l) \longrightarrow$
d. $\mathrm{KO}_{2}(s)+\mathrm{H}_{2} \mathrm{O}(l) \longrightarrow$

Anand Jangid
Anand Jangid
Numerade Educator
08:03

Problem 18

Write balanced equations describing the reaction of lithium metal with each of the following: $\mathrm{O}_{2}, \mathrm{~S}_{8}, \mathrm{Cl}_{2}, \mathrm{P}_{4}, \mathrm{H}_{2}, \mathrm{H}_{2} \mathrm{O}$, and $\mathrm{HCl}$.

Bin Chen
Bin Chen
Numerade Educator
01:06

Problem 19

Lithium reacts with acetylene in liquid ammonia to produce $\mathrm{LiC}_{2} \mathrm{H}$ (lithium acetylide, $\mathrm{LiC}=\mathrm{CH}$ ) and hydrogen gas. Write a balanced equation for this reaction. What type of reaction is this?

Anand Jangid
Anand Jangid
Numerade Educator
02:54

Problem 20

The electrolysis of aqueous sodium chloride (brine) is an important industrial process for the production of chlorine and sodium hydroxide. In fact, this process is the second largest consumer of electricity in the United States, after the production of aluminum. Write a balanced equation for the electrolysis of aqueous sodium chloride (hydrogen gas is also produced).

LJ
Lena Jake
Numerade Educator
01:10

Problem 21

Name each of the following compounds.
a. $\mathrm{MgCO}_{3}$
b. $\mathrm{BaSO}_{4}$
c. $\mathrm{Sr}(\mathrm{OH})_{2}$

Anand Jangid
Anand Jangid
Numerade Educator
01:03

Problem 22

Write the formula for each of the following compounds.
$\begin{array}{lll}\text { a. calcium nitride } & \text { b. beryllium chloride } & \text { c. barium hydride }\end{array}$

Anand Jangid
Anand Jangid
Numerade Educator
02:45

Problem 23

One harmful effect of acid rain is the deterioration of structures and statues made of marble or limestone, both of which are essentially calcium carbonate. The reaction of calcium carbonate with sulfuric acid yields carbon dioxide, water, and calcium sulfate. Because calcium sulfate is marginally soluble in water, part of the object is washed away by the rain. Write a balanced chemical equation for the reaction of sulfuric acid with calcium carbonate.

Sarah Ganrude
Sarah Ganrude
Numerade Educator
07:28

Problem 24

Write balanced equations describing the reaction of Sr with each of the following: $\mathrm{O}_{2}, \mathrm{~S}_{\mathrm{s}}, \mathrm{Cl}_{2}, \mathrm{P}_{4}, \mathrm{H}_{2}, \mathrm{H}_{2} \mathrm{O}$, and $\mathrm{HCl}$.

LJ
Lena Jake
Numerade Educator
01:06

Problem 25

Predict the structure of $\mathrm{BeF}_{2}$ in the gas phase. What structure would you predict for $\mathrm{BeF}_{2}(s) ?$

Anand Jangid
Anand Jangid
Numerade Educator
01:05

Problem 26

The beryllium atom in $\mathrm{BeCl}_{2}$ is electron-deficient (only four valence electrons surround it), which makes it very reactive toward electron-pair donors such as ammonia. Draw a Lewis structure for the expected product when $\mathrm{BeCl}_{2}$ reacts with excess ammonia.

Anand Jangid
Anand Jangid
Numerade Educator
00:41

Problem 27

The U.S. Public Health Service recommends the fluoridation of water as a means for preventing tooth decay. The recommended concentration is $1 \mathrm{mg} \mathrm{F}^{-}$ per liter. The presence of calcium ions in hard water can precipitate the added fluoride. What is the maximum molarity of calcium ions in hard water if the fluoride concentration is at the USPHS recommended level? ( $K_{\text {sp }}$ for $\mathrm{CaF}_{2}=$ $\left.4.0 \times 10^{-11}\right)$

Sisi Gao
Sisi Gao
Numerade Educator
01:58

Problem 28

Slaked lime, $\mathrm{Ca}(\mathrm{OH})_{2}$, is used to soften hard water by removing calcium ions from hard water through the reaction
$\mathrm{Ca}(\mathrm{OH})_{2}(a q)+\mathrm{Ca}^{2+}(a q)+2 \mathrm{HCO}_{3}^{-}(a q) \rightarrow$
$2 \mathrm{CaCO}_{3}(s)+2 \mathrm{H}_{2} \mathrm{O}(l)$
Although $\mathrm{CaCO}_{3}(s)$ is considered insoluble, some of it does dissolve in aqueous solutions. Calculate the molar solubility of $\mathrm{CaCO}_{3}$ in water $\left(K_{\mathrm{sp}}=8.7 \times 10^{-4}\right)$.

Anand Jangid
Anand Jangid
Numerade Educator
02:22

Problem 29

What mass of barium is produced when molten $\mathrm{BaCl}_{2}$ is electrolyzed by a current of $2.50 \times 10^{5} \mathrm{~A}$ for $6.00 \mathrm{~h}$ ?

Aadit Sharma
Aadit Sharma
Numerade Educator
00:52

Problem 30

Electrolysis of an alkaline earth metal chloride using a current of $5.00 \mathrm{~A}$ for 748 s deposits $0.471 \mathrm{~g}$ of metal at the cathode. What is the identity of the alkaline earth metal chloride?

David Collins
David Collins
Numerade Educator
01:04

Problem 31

Write the formula for each of the following compounds.
a. aluminum nitride
b. gallium fluoride
c. gallium sulfide

Anand Jangid
Anand Jangid
Numerade Educator
04:02

Problem 32

Thallium and indium form $+1$ and $+3$ oxidation states when in compounds. Predict the formulas of the possible compounds between thallium and oxygen and between indium and chlorine. Name the compounds.

LJ
Lena Jake
Numerade Educator
01:15

Problem 33

Boron hydrides were once evaluated for possible use as rocket fuels. Complete and balance the following equation for the combustion of diborane.
$$
\mathrm{B}_{2} \mathrm{H}_{6}+\mathrm{O}_{2} \longrightarrow \mathrm{B}(\mathrm{OH})_{3}
$$

Anand Jangid
Anand Jangid
Numerade Educator
03:03

Problem 34

Elemental boron is produced by reduction of boron oxide with magnesium to give boron and magnesium oxide. Write a balanced equation for this reaction.

LJ
Lena Jake
Numerade Educator
01:16

Problem 35

$\mathrm{Ga}_{2} \mathrm{O}_{3}$, is an amphoteric oxide, and $\mathrm{In}_{2} \mathrm{O}_{3}$ is a basic oxide. Write equations for the reactions that illustrate these properties.

Anand Jangid
Anand Jangid
Numerade Educator
01:19

Problem 36

Aluminum hydroxide is amphoteric and will dissolve in both acidic and basic solutions. Write balanced chemical equations representing each process.

Anand Jangid
Anand Jangid
Numerade Educator
01:13

Problem 37

Write equations describing the reactions of Ga with each of the following: $\mathrm{F}_{2}, \mathrm{O}_{2}, \mathrm{~S}_{\mathrm{x}}, \mathrm{N}_{2}$, and $\mathrm{HCl}$.

Anand Jangid
Anand Jangid
Numerade Educator
04:10

Problem 38

Write a balanced equation describing the reaction of aluminum metal with concentrated aqueous sodium hydroxide.

Matthew Bittner
Matthew Bittner
Numerade Educator
02:22

Problem 39

Draw Lewis structures for $\mathrm{CF}_{4}, \mathrm{GeF}_{4}$, and $\mathrm{GeF}_{6}{ }^{2-}$. Predict the molecular structure (including bond angles), and give the expected hybridization of the central atom in these three substances. Explain why $\mathrm{CF}_{6}^{2-}$ does not form.

Anand Jangid
Anand Jangid
Numerade Educator
01:11

Problem 40

Carbon and sulfur form compounds with the formulas $\mathrm{CS}_{2}$ and $\mathrm{C}_{3} \mathrm{~S}_{2}$. Draw Lewis structures and predict the shapes of these two compounds.

Anand Jangid
Anand Jangid
Numerade Educator
03:03

Problem 41

Silicon is produced for the chemical and electronics industries by the following reactions. Give the balanced equation for each reaction.
a. $\mathrm{SiO}_{2}(s)+\mathrm{C}(s) \rightarrow \mathrm{Si}(s)+\mathrm{CO}(g)$
b. Silicon tetrachloride is reacted with very pure magnesium, producing silicon and magnesium chloride.
c. $\mathrm{Na}_{2} \mathrm{SiF}_{6}(s)+\mathrm{Na}(s) \rightarrow \mathrm{Si}(s)+\mathrm{NaF}(s)$

Christina Lollar
Christina Lollar
Numerade Educator
02:23

Problem 42

Write equations describing the reactions of $\mathrm{Sn}$ with each of the following: $\mathrm{Cl}_{2}, \mathrm{O}_{2}$, and $\mathrm{HCl}$.

LJ
Lena Jake
Numerade Educator
01:11

Problem 43

Why are people advised not to drink hot tap water if their plumbing contains lead solder?

Anand Jangid
Anand Jangid
Numerade Educator
04:22

Problem 44

Calculate the solubility of $\mathrm{Pb}(\mathrm{OH})_{2}\left(K_{\mathrm{sp}}=1.2 \times 10^{-15}\right)$ in water. Is $\mathrm{Pb}(\mathrm{OH})_{2}$ more or less soluble in acidic solutions? Explain.

Tracy Tourville
Tracy Tourville
Numerade Educator
01:31

Problem 45

The fermentation of glucose produces ethanol and carbon dioxide. Write a balanced equation for this reaction.

Anand Jangid
Anand Jangid
Numerade Educator
05:47

Problem 46

Tin forms compounds in the $+2$ and $+4$ oxidation states. Therefore, when tin reacts with fluorine, two products are possible. Write balanced equations for the production of the two tin halide compounds and name them.

Matthew Bittner
Matthew Bittner
Numerade Educator
02:37

Problem 47

The resistivity (a measure of electrical resistance) of graphite is $(0.4$ to $5.0) \times 10^{-4} \mathrm{ohm} \cdot \mathrm{cm}$ in the basal plane. (The basal plane is the plane of the six-membered rings of carbon atoms.) The resistivity is $0.2$ to $1.0 \mathrm{ohm} \cdot \mathrm{cm}$ along the axis perpendicular to the plane. The resistivity of diamond is $10^{14}$ to $10^{16} \mathrm{ohm} \cdot \mathrm{cm}$ and is independent of direction. How can you account for this behavior in terms of the structures of graphite and diamond?

Crystal Wang
Crystal Wang
Numerade Educator
01:21

Problem 48

Silicon carbide $(\mathrm{SiC})$ is an extremely hard substance. Propose a structure for $\mathrm{SiC}$.

LJ
Lena Jake
Numerade Educator
02:20

Problem 49

A $0.250-\mathrm{g}$ chunk of sodium metal is cautiously dropped into a mixture of $50.0 \mathrm{~g}$ of water and $50.0 \mathrm{~g}$ of ice, both at $0{ }^{\circ} \mathrm{C}$. The reaction is
$2 \mathrm{Na}(s)+2 \mathrm{H}_{2} \mathrm{O}(l) \longrightarrow 2 \mathrm{NaOH}(a q)+\mathrm{H}_{2}(g) \quad \Delta H=-368 \mathrm{~kJ}$
Will the ice melt? Assuming the final mixture has a specific heat capacity of $4.18 \mathrm{~J} / \mathrm{g} \cdot{ }^{\circ} \mathrm{C}$, calculate the final temperature. The enthalpy of fusion for ice is $6.02 \mathrm{~kJ} / \mathrm{mol}$.

Susan Hallstrom
Susan Hallstrom
Numerade Educator
06:29

Problem 50

One of the chemical controversies of the nineteenth century concerned the element beryllium (Be). Berzelius originally claimed that beryllium was a trivalent element (forming $\mathrm{Be}^{3+}$ ions) and that it gave an oxide with the formula $\mathrm{Be}_{2} \mathrm{O}_{3} .$ This resulted in a calculated atomic mass of $13.5$ for beryllium. In formulating his periodic table, Mendeleev proposed that beryllium was divalent (forming $\mathrm{Be}^{2+}$ ions) and that it gave an oxide with the formula BeO. This assumption gives an atomic mass of $9.0 .$ In $1894, \mathrm{~A}$. Combes (Comptes Rendus 1894, p. 1221$)$ reacted beryllium with the anion $\mathrm{C}_{5} \mathrm{H}_{7} \mathrm{O}_{2}^{-}$ and measured the density of the gaseous product. Combes's data for two different experiments are as follows:
If beryllium is a divalent metal, the molecular formula of the product will be $\mathrm{Be}\left(\mathrm{C}_{3} \mathrm{H}_{7} \mathrm{O}_{2}\right)_{2} ;$ if it is trivalent, the formula will be $\mathrm{Be}\left(\mathrm{C}_{5} \mathrm{H}_{7} \mathrm{O}_{2}\right)_{3} .$ Show how Combes's data help to confirm that beryllium is a divalent metal.

Susan Hallstrom
Susan Hallstrom
Numerade Educator
01:01

Problem 51

It takes $15 \mathrm{kWh}$ (kilowatt-hours) of electrical energy to produce $1.0 \mathrm{~kg}$ of aluminum metal from aluminum oxide by the Hall-Heroult process. Compare this to the amount of energy necessary to melt $1.0 \mathrm{~kg}$ of aluminum metal. Why is it economically feasible to recycle aluminum cans? (The enthalpy of fusion for aluminum metal is $10.7 \mathrm{~kJ} / \mathrm{mol}[1$ watt $=1 \mathrm{~J} / \mathrm{s}] .)$

David Collins
David Collins
Numerade Educator
05:44

Problem 52

Borazine $\left(\mathrm{B}_{3} \mathrm{~N}_{3} \mathrm{H}_{6}\right)$ has often been called "inorganic" benzene. Write Lewis structures for borazine. Borazine contains a sixmembered ring of alternating boron and nitrogen atoms with one hydrogen bonded to each boron and nitrogen.

Chase Crook
Chase Crook
Numerade Educator
01:26

Problem 53

Carbon monoxide is toxic because it bonds much more strongly to the iron in hemoglobin (Hgb) than does $\mathrm{O}_{2}$. Consider the following reactions and approximate standard free energy changes:
$$
\begin{aligned}
\mathrm{Hgb}+\mathrm{O}_{2} \longrightarrow \mathrm{HgbO}_{2} & \Delta G^{\circ} &=-70 \mathrm{~kJ} \\
\mathrm{Hgb}+\mathrm{CO} \longrightarrow \mathrm{HgbCO} & \Delta G^{a} &=-80 \mathrm{~kJ}
\end{aligned}
$$
Using these data, estimate the equilibrium constant value at $25^{\circ} \mathrm{C}$ for the following reaction:
$$
\mathrm{HgbO}_{2}+\mathrm{CO} \rightleftharpoons \mathrm{HgbCO}+\mathrm{O}_{2}
$$

Lottie Adams
Lottie Adams
Numerade Educator
06:55

Problem 54

The three most stable oxides of carbon are carbon monoxide (CO), carbon dioxide $\left(\mathrm{CO}_{2}\right)$, and carbon suboxide $\left(\mathrm{C}_{3} \mathrm{O}_{2}\right) .$ The space filling models for these three compounds are
For each oxide, draw the Lewis structure, predict the molecular structure, and describe the bonding (in terms of the hybrid orbitals for the carbon atoms).

Teesta Dasgupta
Teesta Dasgupta
University of Pittsburgh - Main Campus
01:49

Problem 55

The overall reaction in the lead storage battery is $\mathrm{Pb}(s)+\mathrm{PbO}_{2}(s)+2 \mathrm{H}^{+}(a q)+2 \mathrm{HSO}_{4}^{-}(a q) \longrightarrow$
$2 \mathrm{PbSO}_{4}(s)+2 \mathrm{H}_{2} \mathrm{O}(l)$
Calculate 8 at $25^{\circ} \mathrm{C}$ for this battery when $\left[\mathrm{H}_{2} \mathrm{SO}_{4}\right]=4.5 M$, that is, $\left[\mathrm{H}^{+}\right]=\left[\mathrm{HSO}_{4}^{-}\right]=4.5 M .$ At $25^{\circ} \mathrm{C}, \mathscr{E}^{\circ}=2.04 \mathrm{~V}$ for the lead
storage battery.

Susan Hallstrom
Susan Hallstrom
Numerade Educator
05:16

Problem 56

The bright yellow light emitted by a sodium vapor lamp consists of two emission lines at $589.0$ and $589.6 \mathrm{~nm}$. What are the frequency and the energy of a photon of light at each of these wavelengths? What are the energies in $\mathrm{kJ} / \mathrm{mol}$ ?

James Irizarry
James Irizarry
Numerade Educator
00:47

Problem 57

In the 1950 s and 1960 s, several nations conducted tests of nuclear warheads in the atmosphere. It was customary following each test to monitor the concentration of strontium-90 (a radioactive isotope of strontium) in milk. Why would strontium-90 tend to accumulate in milk?

Aadit Sharma
Aadit Sharma
Numerade Educator
01:08

Problem 58

The compound $\mathrm{BeSO}_{4} \cdot 4 \mathrm{H}_{2} \mathrm{O}$ cannot be dehydrated easily by heating. It dissolves in water to give an acidic solution. Explain these observations.

Anand Jangid
Anand Jangid
Numerade Educator
01:33

Problem 59

The inert-pair effect is sometimes used to explain the tendency of heavier members of group $3 \mathrm{~A}$ to exhibit $+1$ and $+3$ oxidation states. What does the inert-pair effect reference? Hint: Consider the valence electron configuration for group $3 \mathrm{~A}$ elements.

LJ
Lena Jake
Numerade Educator
01:11

Problem 60

Assume that element 113 is produced. What is the expected electron configuration for element 113 ?

Anand Jangid
Anand Jangid
Numerade Educator
01:31

Problem 61

Calculate the $\mathrm{pH}$ of a $0.050 \mathrm{M} \mathrm{Al}\left(\mathrm{NO}_{3}\right)_{3}$ solution. The $K_{\mathrm{a}}$ value for $\mathrm{Al}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}^{3+}$ is $1.4 \times 10^{-5}$.

Bin Chen
Bin Chen
Numerade Educator
02:21

Problem 62

The compound with the formula $\mathrm{T} \mathrm{II}_{3}$ is a black solid. Given the following standard reduction potentials:
$$
\begin{aligned}
\mathrm{TI}^{3+}+2 \mathrm{e}^{-} \longrightarrow \mathrm{Tl}^{+} & \mathscr{g}^{\circ}=+1.25 \mathrm{~V} \\
\mathrm{I}_{3}^{-}+2 \mathrm{e}^{-} \longrightarrow 3 \mathrm{I}^{-} & \mathscr{8}^{\circ}=+0.55 \mathrm{~V}
\end{aligned}
$$
would you formulate this compound as thallium(III) iodide or thallium(I) triiodide?

Susan Hallstrom
Susan Hallstrom
Numerade Educator
03:56

Problem 63

How could you determine experimentally whether the compound $\mathrm{Ga}_{2} \mathrm{Cl}_{4}$ contains two gallium(II) ions or one gallium(I) and one gallium(III) ion? (Hint: Consider the electron configurations of the three possible ions.)

Christina Lollar
Christina Lollar
Numerade Educator
07:57

Problem 64

Tricalcium aluminate, an important component of Portland cement, is $44.4 \%$ calcium and $20.0 \%$ aluminum by mass. The remainder is oxygen.
a. Calculate the empirical formula of tricalcium aluminate.
b. The structure of tricalcium aluminate was not determineduntil 1975 . The aluminate anion $\left(\mathrm{Al}_{6} \mathrm{O}_{18}{ }^{18-}\right)$ has the following structure:
What is the molecular formula of tricalcium aluminate?
c. How would you describe the bonding in the $\mathrm{Al}_{6} \mathrm{O}_{18}{ }^{18-}$ anion?

Susan Hallstrom
Susan Hallstrom
Numerade Educator
07:45

Problem 65

In Exercise 107 in Chapter 5 , the pressure of $\mathrm{CO}_{2}$ in a bottle of sparkling wine was calculated assuming that the $\mathrm{CO}_{2}$ was insoluble in water. This was a bad assumption. Redo this problem by assuming $\mathrm{CO}_{2}$ obeys Henry's law. Use the data given in that problem to calculate the partial pressure of $\mathrm{CO}_{2}$ in the gas phase and the solubility of $\mathrm{CO}_{2}$ in the wine at $25^{\circ} \mathrm{C}$. The Henry's law constant for $\mathrm{CO}_{2}$ is $3.1 \times 10^{-2} \mathrm{~mol} / \mathrm{L} \cdot \mathrm{atm}$ at $25^{\circ} \mathrm{C}$ with Henry's law in the
form $C=k P$, where $C$ is the concentration of the gas in $\mathrm{mol} / \mathrm{L}$.

Susan Hallstrom
Susan Hallstrom
Numerade Educator
01:48

Problem 66

The compound $\mathrm{Pb}_{3} \mathrm{O}_{4}$ (red lead) contains a mixture of lead(II) and lead(IV) oxidation states. What is the mole ratio of lead(II) to lead(IV) in $\mathrm{Pb}_{3} \mathrm{O}_{4}$ ?

Ronald Prasad
Ronald Prasad
Numerade Educator
01:15

Problem 67

Lead hydrogen arsenate, an inorganic insecticide used against the potato beetle, is produced by the following reaction:
$$
\mathrm{Pb}\left(\mathrm{NO}_{3}\right)_{2}(a q)+\mathrm{H}_{3} \mathrm{AsO}_{4}(a q) \rightarrow \mathrm{PbHAsO}_{4}(s)+\mathrm{HNO}_{3}(a q)
$$
Balance this equation.

Anand Jangid
Anand Jangid
Numerade Educator
01:58

Problem 68

Provide a reasonable estimate for the number of atoms in an average adult human. Explain your answer. Use the information given in Table $19.2 .$

Anand Jangid
Anand Jangid
Numerade Educator
04:53

Problem 69

Suppose $10.00 \mathrm{~g}$ of an alkaline earth metal reacts with $10.0 \mathrm{~L}$ of water to produce $6.10 \mathrm{~L}$ of hydrogen gas at $1.00 \mathrm{~atm}$ and $25^{\circ} \mathrm{C}$. Identify the metal and determine the $\mathrm{pH}$ of the solution.

Aadit Sharma
Aadit Sharma
Numerade Educator
02:16

Problem 70

Gallium arsenide, GaAs, has gained widespread use in semiconductor devices that convert light and electrical signals in fiberoptic communications systems. Gallium consists of $60 . \%^{69} \mathrm{Ga}$ and $40 . \%^{71} \mathrm{Ga}$. Arsenic has only one naturally occurring isotope, $^{75} \mathrm{As}$. Gallium arsenide is a polymeric material, but its mass spectrum shows fragments with the formulas $\mathrm{GaAs}$ and $\mathrm{Ga}_{2} \mathrm{As}_{2} .$ What would the distribution of peaks look like for these two fragments?

Susan Hallstrom
Susan Hallstrom
Numerade Educator
05:59

Problem 71

Consider dissolving $0.50 \mathrm{~mol}$ of $\mathrm{CO}_{2}(g)$ to enough water to make a $1.0$ -L solution. Determine the $\mathrm{pH}$ of this solution, and $\left[\mathrm{CO}_{3}{ }^{2-}\right]$. Use data from Appendix 5, Table $5.2 .$

Susan Hallstrom
Susan Hallstrom
Numerade Educator
09:11

Problem 72

a. Many biochemical reactions that occur in cells require relatively high concentrations of potassium ion $\left(\mathrm{K}^{+}\right)$. The concentration of $\mathrm{K}^{+}$ in muscle cells is about $0.15 \mathrm{M}$. The concentration of $\mathrm{K}^{+}$ in blood plasma is about $0.0050 M .$ The high internal concentration in cells is maintained by pumping $\mathrm{K}^{+}$ from the plasma. How much work must be done to transport $1.0 \mathrm{~mol}$ of $\mathrm{K}^{+}$ from the blood to the inside of a muscle cell at $37^{\circ} \mathrm{C}$ (normal body temperature)?
b. When $1.0 \mathrm{~mol}$ of $\mathrm{K}^{+}$ is transferred from blood to the cells, do any other ions have to be transported? Why or why not?
c. Cells use the hydrolysis of adenosine triphosphate, abbreviated ATP, as a source of energy. Symbolically, this reaction can be represented as
$$
\mathrm{ATP}(a q)+\mathrm{H}_{2} \mathrm{O}(l) \longrightarrow \mathrm{ADP}(a q)+\mathrm{H}_{2} \mathrm{PO}_{4}^{-}(a q)
$$
where ADP represents adenosine diphosphate. For this reaction at $37^{\circ} \mathrm{C}, K=1.7 \times 10^{5} .$ How many moles of ATP must be hydrolyzed to provide the energy for the transport of $1.0 \mathrm{~mol}$ of $\mathrm{K}^{+}$ ? Assume standard conditions for the ATP hydrolysis reaction.

Susan Hallstrom
Susan Hallstrom
Numerade Educator
06:23

Problem 73

EDTA is used as a complexing agent in chemical analysis. Solutions of EDTA, usually containing the disodium salt $\mathrm{Na}_{2} \mathrm{H}_{2} \mathrm{EDTA}$, are also used to treat heavy metal poisoning. The equilibrium constant for the following reaction is $1.0 \times 10^{23}$.
$$
\mathrm{Pb}^{2+}(a q)+\mathrm{H}_{2} \mathrm{EDTA}^{2-}(a q) \rightleftharpoons \mathrm{PbEDTA}^{2-}(a q)+2 \mathrm{H}^{+}(a q)
$$
Calculate $\left[\mathrm{Pb}^{2+}\right]$ at equilibrium in a solution originally $0.0010 \mathrm{M}$ in $\mathrm{Pb}^{2+}, 0.050 M$ in $\mathrm{H}_{2} \mathrm{EDTA}^{2-}$, and buffered at $\mathrm{pH}=6.00$.

Susan Hallstrom
Susan Hallstrom
Numerade Educator
09:50

Problem 74

The compounds $\mathrm{CCl}_{4}$ and $\mathrm{H}_{2} \mathrm{O}$ do not react with each other. On the other hand, silicon tetrachloride reacts with water according to the equation
$$
\mathrm{SiCl}_{4}(l)+2 \mathrm{H}_{2} \mathrm{O}(I) \longrightarrow \mathrm{SiO}_{2}(s)+4 \mathrm{HCl}(a q)
$$
Discuss the importance of thermodynamics and kinetics in the reactivity of water with $\mathrm{SiCl}_{4}$ as compared with its lack of reactivity with $\mathrm{CCl}_{4}$.

Susan Hallstrom
Susan Hallstrom
Numerade Educator
02:13

Problem 75

One reason suggested to account for the instability of long chains of silicon atoms is that the decomposition involves the transition state shown below:
The activation energy for such a process is $210 \mathrm{~kJ} / \mathrm{mol}$, which is less than either the $\mathrm{Si}-\mathrm{Si}$ or $\mathrm{Si}-\mathrm{H}$ energy. Why would a similar mechanism not be expected to be very important in the decomposition of long carbon chains?

Susan Hallstrom
Susan Hallstrom
Numerade Educator
02:16

Problem 76

From the information on the temperature stability of white and gray tin given in this chapter, which form would you expect to have the more ordered structure?

Anand Jangid
Anand Jangid
Numerade Educator
11:20

Problem 77

Lead forms compounds in the $+2$ and $+4$ oxidation states. All lead(II) halides are known (and are known to be ionic). Only $\mathrm{PbF}_{4}$ and $\mathrm{PbCl}_{4}$ are known among the possible lead(IV) halides. Presumably lead(IV) oxidizes bromide and iodide ions, producing the lead(II) halide and the free halogen:
$$
\mathrm{PbX}_{4} \longrightarrow \mathrm{Pb} \mathrm{X}_{2}+\mathrm{X}_{2}
$$
Suppose $25.00 \mathrm{~g}$ of a lead(IV) halide reacts to form $16.12 \mathrm{~g}$ of a lead(II) halide and the free halogen. Identify the halogen.

Christina Lollar
Christina Lollar
Numerade Educator
06:39

Problem 78

The heaviest member of the alkaline earth metals is radium (Ra), a naturally radioactive element discovered by Pierre and Marie Curie in 1898 . Radium was initially isolated from the uranium ore pitchblende, in which it is present as approximately $1.0 \mathrm{~g}$ per $7.0$ metric tons of pitchblende. How many atoms of radium can be isolated from $1.75 \times 10^{8} \mathrm{~g}$ of pitchblende ( 1 metric ton = $1000 \mathrm{~kg}$ )? One of the early uses of radium was as an additive to paint so that watch dials coated with this paint would glow in the dark. The longest-lived isotope of radium has a half-life of $1.60 \times 10^{3}$ years. If an antique watch, manufactured in 1925, contains $15.0 \mathrm{mg}$ of radium, how many atoms of radium will remain in 2025 ?

Christina Lollar
Christina Lollar
Numerade Educator
10:17

Problem 79

Indium(III) phosphide is a semiconducting material that has been frequently used in lasers, light-emitting diodes (LED) and fiber-optic devices. This material can be synthesized at $900 . \mathrm{K}$ according to the following reaction:
$$
\operatorname{In}\left(\mathrm{CH}_{3}\right)_{3}(g)+\mathrm{PH}_{3}(g) \longrightarrow \operatorname{InP}(s)+3 \mathrm{CH}_{4}(g)
$$
a. If $2.56 \mathrm{~L}$ of $\mathrm{In}\left(\mathrm{CH}_{3}\right)_{3}$ at $2.00 \mathrm{~atm}$ is allowed to react with $1.38 \mathrm{~L}$ of $\mathrm{PH}_{3}$ at $3.00 \mathrm{~atm}$, what mass of $\operatorname{In} \mathrm{P}(s)$ will be produced assuming the reaction is $87 \%$ efficient?
b. When an electric current is passed through an optoelectronic device containing $\mathrm{InP}$, the light emitted has an energy of $2.03 \times 10^{-19} \mathrm{~J}$. What is the wavelength of this light and is it visible to the human eye?
c. The semiconducting properties of InP can be altered by doping. If a small number of phosphorus atoms are replaced by atoms with an electron configuration of $[\mathrm{Kr}] 5 s^{2} 4 d^{10} 5 p^{4}$, is this n-type or p-type doping?

Susan Hallstrom
Susan Hallstrom
Numerade Educator
08:24

Problem 80

The chemistry of tin(II) fluoride is particularly complex and demonstrates a wide range of reactivities. For example, in aqueous solutions of tin(II) fluoride containing sodium fluoride, the predominant species is $\mathrm{SnF}_{3}^{-}$.
a. What is the molecular geometry of $\mathrm{SnF}_{3}^{-}$ and the hybridization of the tin atom?
b. When tin(II) fluoride is crystallized from aqueous solutions containing sodium fluoride, one of the products is the polyatomic cluster $\mathrm{Na}_{4} \mathrm{Sn}_{3} \mathrm{~F}_{10} .$ Write a balanced chemical reaction for the formation of $\mathrm{Na}_{4} \mathrm{Sn}_{3} \mathrm{~F}_{10}$ from tin(II) fluoride and NaF.
c. Assuming complete conversion, what mass of $\mathrm{Na}_{4} \mathrm{Sn}_{3} \mathrm{~F}_{10}$ can be prepared by mixing $15.5 \mathrm{~mL}$ of $1.48 \mathrm{M}$ tin(II) fluoride with $35.0 \mathrm{~mL}$ of $1.25 \mathrm{M}$ NaF?

Susan Hallstrom
Susan Hallstrom
Numerade Educator
01:43

Problem 81

Use the symbols of the elements described in the following clues to fill in the blanks that spell out the name of a famous American scientist. Although this scientist was better known as a physicist than as a chemist, the Philadelphia institute that bears his name does include a biochemistry research facility.
(1)
(2)
(3)
(4)
(5) (6)
(7)
(1) The oxide of this alkaline earth metal is amphoteric.
(2) You might be surprised to learn that a binary compound of sodium with this element has the formula $\mathrm{NaX}_{3}$, a compound used in airbags.
(3) This alkali metal is radioactive.
(4) This element is the alkali metal with the least negative standard reduction potential. Write its symbol in reverse order.
(5) Potash is an oxide of this alkali metal.
(6) This is the only alkali metal that reacts directly with nitrogen to make a binary compound with formula $\mathrm{M}_{3} \mathrm{~N}$.
(7) This element is the first in Group $3 \mathrm{~A}$ for which the $+1$ oxidation state is exhibited in stable compounds. Use only the second letter of its symbol.

Anand Jangid
Anand Jangid
Numerade Educator