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60 CHAPTER 2 Atoms, Molecules, and Ions Figure 2.16 Steps for naming molecular and ionic compounds.. SECTION 2.7 Ions and Ionic Compounds 61 Deduce the formulas of the following ionic

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58 CHAPTER 2 Atoms, Molecules, and Ions

Figure 2.15 An electron is

transferred from the sodium atom to the

chlorine atom, giving a sodium ion and

a chloride ion The oppositely charged

ions are attracted to each other and

form a solid lattice

Sodium atom (Na)

Chlorine a t om (C I )

Loses an electron

Gain s a n electron

Electron transfer

Sodium ion (Na +)

lOe

-Chloride ion (CI - )

Sodium chloride crystal (NaCl)

charge on the anion and a subscript for the anion that i s numerically equal to the charge on the

cation If the charges are numericall y equal, then no subscripts are necessary

Let us con s ider some examples

Potassium Bromide The potassium ion (K+) and the bromide ion (Br-) combine to form the ionic compound potassium bromide The sum of the charges is 1 + (- 1 ) = 0, so no subscripts are

nece ssary The form ula i s KEr

Zinc Iodide The z inc ion (Z n2+) and the iodide ion (r-) combine to form zinc iodid e The sum

of th e charges of one Zn 2+ ion and one 1- ion i s +2 + ( - 1) = + 1 To make the charges add up

to zero, we multiply the -1 charge of the anion by 2 and add th e s ub s cript "2" to the sy mbol for iodine Thus, the formula for zinc iodide is ZnI2

Ammonium Chloride The cation is NHt and the anion i s cr The sum of the charges is 1 +

(-1) = 0, so the ions combine in a 1: 1 ratio and the resulting formula is NH4Cl

Aluminum Oxide The cation is AI3+ and the anion is 0 2- The following diagram can be used to

determine the s ub sc ript s for this compound:

AI3+ 0 2

-The s um of the charges for aluminum oxide i s 2( + 3) + 3( - 2) = 0 Thus, the formula is A120 3

Calcium Phosphate The cation is Ca2+ and the anion is PO~- The following diagram can be used to determine the subscripts:

Ca2+

The s um of the charges i s 3(+2) + 2(-3) = 0 Thus, the formula for calcium pho s phate is

Ca 3 (P04h When we add a s ub s cript to a polyatomic ion, we must fir s t put parentheses around the

ion's formula to indicate that the s ub sc ript applies to all the atoms in the poly atomic ion

Naming Ionic Compounds

An ionic compound is named using the name of the cation followed by the name of the anion,

eliminating the word ion from each Several examples were given earlier in the Formulas of Ionic Compounds sec tion Other examples are so dium cyanide (NaCN), potassium permanganate

(KMn04), and ammonium s ulfate [(NH4hS04] Unlike the naming of molecular compounds, no

Greek prefixes are u se d For example, Li2C0 3 is lithium carbonate, not dilithium carbonate, even

though there are two lithium ions for every carbonate ion Prefixes are unnecessary because the

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How Are Oxoanions and Oxoacids Named?

Oxoanions are polyatomic anion s that contain one or more

oxy-gen atoms and one atom ( the "central atom") of another e lement

Examples include the chlorate (CIO } ), nitrate ( NO }), and sulfate

(SO~ - ) ions Often, two or more oxoanions have the s ame central

atom but different number s of 0 atoms (e g , NO } and N0 2)

Starting with the oxoanions who se name s end in -ate, we can

name these ion s as follows:

no n e t charge For example, the formula s of oxoacids ba se d on the nitrate (NO } ) and s ulfat e ( SO i - ) ions are HN03 and H2S04 ,

re s pectively The name s of oxoacids are derived from the names

of th e corresponding oxoanion s u s ing the following guidelines:

1 An acid ba se d on an -ate ion i s called ic acid Thus,

HCl03 i s called chloric acid

2 An acid ba se d on an -it e ion is called ous acid

Thus, HCI02 is called c hlorou s acid

1 The ion with one more 0 atom than the -at e ion i s called

the p e r ate ion Thus, CIO } is the chlorate ion , so CIO

';-is the perchlorate i o n

2 The ion with one l ess 0 atom than the -at e anion is called

the -it e ion Thu s, CI0 2 i s th e c hlorit e ion

3 Prefixes in oxoanion names are retained in the name s of the

corresponding oxoacid s Thu s, HCI04 and HCIO are called

perchloric acid and hypochlorous acid, re s pectively

3 The ion with two fewer 0 atoms than the -ate ion i s called

the hyp o ite ion Thu s, CIO - is the h ypoc hl orite ion

At a minimum, you must commit to memory the formulas

and charges of the oxoanions whose name s end in -at e so that

you can apply these guidelines when nece ssary

Many oxoacids, s uch as H2S04 and H3P04 , are

polyprotic-meaning that they have more than one ionizable hydrogen atom

In the se cases, th e name s of anions in which one or more (but not all ) of the hydrogen ion s have been removed must indicate the number of H ion s that remain, a s s hown for the anion s derived

from pho s phoric acid:

In addition to the simple acid s di s cu sse d in Section 2.6, there

is another important cla ss of acid s known as oxoacids, which

ion-ize to produce hydrogen ions and the corresponding oxoa nion s

The formula of an oxoacid can be determined by adding enough

H + ions to the corre s ponding oxoanion to yield a formula with

H y drogen phosphate ion

Phosphate ion

Strategy Each species is either an oxoanion or an oxoacid Identify the "reference oxoanion" (the

one with the -ate ending) for each, and apply the rules to determine appropriate names

Setup (a) Chlorine, bromine, and iodine (members of group 7 A) all form analogous series of

oxoanions with one to four oxygen atoms Thus, the reference oxoanion is bromate (BrO :;-), which

is analogous to chlorate (ClO:;-) In parts (b) and (c), HCO:;- and H2C0 3 have one and two more

hydrogens, respectively, than the carbonate ion (Co j- )

Solution (a) BrO; has one more 0 atom than the bromate ion (BrO:;-), so Br0 4 is the perbromate

ion (b) coj- is the carbonate ion Because HCO :;- has one ionizable hydrogen atom, it is called the

hydrogen ca rbonat e i on (c) With two ionizable hydrogen atoms and no charge on the compound,

H2C03 is ca rbonic acid

Practice Problem A Name the following species: (a) HErO, (b) HS04 , and (c) H2C20 4

Practice Problem B Name the following species: (a) HI03, (b) HCr0 4, and (c) HC20 ;

~I -~"

Determine the formula of sulfurous acid

Strategy The -ous ending in the name of an acid indicates that the acid is derived from an oxoanion

ending in -it e Determine the formula and charge of the oxoanion, and add enough hydrogens to

make a neutral formula

Setup The sulfite ion is SO j-

Solution The formula of sulfurous acid is H2S03

Practice Problem A Determine the formula of perbromic acid (Refer to the information in Sample

Problem 2.7.)

Practice Problem B Determine the formula of chromic acid

59

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60 CHAPTER 2 Atoms, Molecules, and Ions

Figure 2.16 Steps for naming

molecular and ionic compounds

Think About It Be careful not to

confuse the subscript in a formula

with the charge on the metal ion In

part (c), for example, the subscript

on Fe is 2, but this is an iron (III)

polyatomic

s! Z s ."z

Cation ha s Cation ha s more

a ni y one charg e than one charge

• Alkali metal cation s • Other metal cation s

• A I kal i n e earth metal

in parenthese s

• If monatomi c anion, add -ide to ro o t of element name

• If po lyatomic anion , use name of anion

ions have known charges Lithium ion always has a charge of + 1, and carbonate ion always has

a charge of -2 The only ratio in which they can combine to form a neutral compound is two Li +

ions for every one CO ~ - ion Therefore, the name lithium carbonate is sufficient to convey the compound's empirical formula

In cases where a metal cation may have more than one possible charge, recall that the charge

is indicated in the name of the ion with a Roman numeral in parentheses Thus, the compounds

FeCI2 and FeCI3 are named iron ( Il ) chloride and iron(IIl) chlorid e , respectively (These are pro

-nounced "iron - two chloride" and "iron - three chloride.") Figure 2.16 summarizes the steps for naming molec u lar and ionic compounds

Sample Problem s 2.9 and 2.10 illustrate how to name ionic compounds and write formulas for ionic compounds based on the information given in Figure 2.16 and Tables 2.8 and 2.9

Sample Problem 2.9

Name the following ionic compounds: (a) MgO, (b) AI(OH)3' and (c) FeiS04h

Strategy Begin by identifying the cation and the anion in each compound, and then combine the names for each, eliminating the word i O I1

Setup MgO contains Mg2+ and 0 2- , the magnesium ion and the oxide ion; AI(OH)3 contains Al3+

and OH- , the aluminum ion and the hydroxide ion; and Fe2(S04)3 contains Fe3+ and SO ~ - , the iron (III) ion and the sulfate ion We know that the iron in F~(S0 4 ) 3 is iron(III), Fe3+, because it is combined with the sulfate ion in a 2:3 ratio

Solution (a) Combining the cation and anion names, and eliminating the word ion from each of the individual ions' names, we get magn e sium oxide as the name of MgO; (b) AI(OH)3 is aluminum

h y droxide; and (c) Fe2(S04)3 is iron ( J/l) sulfate

Practice Problem A Name the following ionic compounds: (a) Na2S04, (b) Cu(N03)2,

(c) Fe2(C03h

Practice Problem B Name the following ionic compounds: (a) K2Cr20 7, (b) Li2C20 4, (c) CuN03

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SECTION 2.7 Ions and Ionic Compounds 61

Deduce the formulas of the following ionic compounds: (a ) mercury ( I ) chloride , ( b ) lead ( II )

chromate, and (c) potassium hydrogen pho s phate

Strategy Identify the ions in each compound, and determine their ratio s of combination using the

charges on the cation and anion in each

Setup (a) Mercury(I) chloride is a combination of Hg ~ + and CI - [Mercury ( I ) i s one of the few

cations listed in Table 2.9.] In order to produce a neutral compound , the s e two ion s must combine in

a 1:2 ratio (b) Lead(II) chromate is a combination of Pb 2+ and CrO ~ - These ion s combine in a 1: 1

ratio (c) Potassium hydrogen phosphate i s a c ombination of K + and HPO~- The s e ions combine in

a 2: 1 ratio

I Solution The formulas are (a) Hg2Clb (b) PbCr0 4 , and ( c ) K2HP04·

Practice Problem A Deduce the formulas of the following ionic compound s : ( a) lead(II) chloride,

(b) magnesium carbonate, and (c) ammonium phosphate

Practice Problem B Deduce the formula s of the following ionic compounds: ( a ) iron ( III ) sulfide,

(b) mercury(II) nitrate, and (c) potassium s ulfite

~ -~

Hydrates

Hydrates are compounds that have a specific number of water molecules within their solid

struc-ture In its normal state, for example, each unit of copper(II) sulfate has five water molecules

asso-ciated with it The systematic name for this compound is copper(II) sulfate pentahydrate , and its

f ormula is written as CUS04 SH 2 0 The water molecules can be driven off by heating When this

o ccurs, the resulting compound is CUS04, which is sometimes called anhydrous copper(II ) sulfate;

a nhydrous means that the compound no longer has water molecules a s sociated with it Hydrates

and the corresponding anhydrous compounds often have distinctly different physical and chemical

Familiar Inorganic Compounds

So me compounds are better known by their common names than by their systematic chemical

n a mes Familiar examples are listed in Table 2.10

Think About It Make sure that the

charges s um to zero in each compound formula In part (a), for example,

Hg ~ + + 2Cl- = ( 2+ ) + 2 (- 1 ) = 0;

in part (b), (+ 2) + ( - 2 ) = 0; and in

part ( c ), 2(+1) + (-2) = O

Figure 2 17 CUS04 is white The

pentahydrate, CUS04 5H20, is blue

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62 CHAPTER 2 Atoms, Molecules, and Ions

Formula

H20

NH 3

CO2 NaCI

N20

CaC03 NaHC03 MgS04 ·7H20

Mg(OHh

Common Name

Water Ammonia Dry ice Salt

Laughing gas Marble, chalk, limestone Baking soda

Epsom salt

Milk of magnesia

Systematic Name

Dihydrogen monoxide Trihydrogen nitride

Solid carbon dioxide Sodium chloride

Dinitrogen monoxide Calcium carbonate

Sodium hydro gen carbonate Magnesium sulfate heptahydrate Magnesium hydroxide

Checkpoint 2.7 Ions and Ionic Compounds

c) Lead(II) sulfate

d) Monolead sulfate e) Lead monosulfate

What is the correct formula for the

compound iron (ill) carbonate?

Which of the following is the correct

formula for nitrous acid?

a) HNO

b) HN20 c) N20

c) Na3N d) NaN03

e) NaN02

What is the correct name of the compound Hg2Cr04?

a) Mercury(I) chromate b) Mercury(II) chromate c) Mercury dichromate

d) Dimercury chromate e) Monomercury chromate

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APPLYING WHAT YOU'VE LEARNED 63

Applying What You've Learned

Although iron is an essential element, it is also a potentially toxic substance

Hemochromato-sis is one of the most common hereditary disorders, causing "iron overload" or the storage of

excess iron in the tissues and organs Individuals with hemochromatosis often must undergo

periodic phlebotomy (removal of blood) in order to remove excess stored iron, which would

otherwise cause irreversible damage to internal organs including the liver and kidneys Those

who have a tendency to store too much iron are advised to avoid combining iron-rich foods

with substances that enhance iron absorption, such as ascorbic acid (vitamin C)

Because of iron's toxicity, iron supplements are potentially dangerous, especially

to children In fact, iron poisoning is the most common toxicological emergency in

young children due in part to the resemblance many iron supplements bear to candy

Most vitamins that contain iron are sold with childproof caps to help prevent accidental

overdose The Food and Drug Administration (FDA) requires supplements containing

more than 30 mg of iron per dose to be sold in single-dose blister packs to make it more

difficult for a child to consume a dangerous amount

Problems:

a) Iron has four naturally occurring isotopes: 54Fe (53.9396 amu), 56Fe

(55.9349 amu), 57Fe (56.9354 amu), and 58Fe (57 9333 amu) For each isotope,

detennine the number of neutrons in the nucleus [ ~~ Sample Problem 2.1]

b) Calculate the average atomic mass of iron given that the natural abundances of the

four isotopes are 5 845, 91.754, 2.119, and 0.282 percent, respectively

[ ~~ Sample Problem 2.2]

c) Write the molecular formula for ascorbic acid (see the ball-and - stick model)

[ ~~ Sample Problem 2.3]

d) DeteIlIIine the empirical fOImula of ascorbic acid [ ~~ Sample Problem 2.6]

e) Write the fOIIllula for ferrous sulfate [iron (II) sulfate] [ ~ Sample Problem 2.10]

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64 CHAPTER 2 Atoms, Molecules, and Ions

CHAPTER SUMMARY

Section 2.1

o Dalton's atomic theory states that all matter is made up of tiny

indivisible, immutable particles called atoms Compounds form,

moreover, when atoms of different elements combine in fixed ratios

According to the law of definite proportions, any sample of a given

compound will always contain the same elements in the same mass

ratio

o The law of multiple proportions states that if two elements can form

more than one compound with one another, the mass ratio of one will

be related to the mass ratio of the other by a small whole number

o The law of conservation of mass states that matter can be neither

created nor destroyed

Section 2.2

o On the basis of Dalton's atomic theory, the atom is the basic unit of

an element Studies with radiation indicated that atoms contained

subatomic particles, one of which was the electron

o Experiments with radioactivity have shown that some atoms give off

different types of radiation, called alpha (ex) rays, beta (f3) rays, and

gamma (y) rays Alpha rays are composed of ex particles, which are

actually helium nuclei Beta rays are composed of f3 particles, which

are actually electrons Gamma rays are high-energy radiation

o Most of the mass of an atom resides in a tiny, dense region known as

the nucleus The nucleus contains positively charged particles called

protons and electrically neutral particles called neutrons Protons

and neutrons are referred to collectively as nucleons The charge on a

proton is equal in magnitude but opposite in sign to the charge on an

electron The electrons occupy the relatively large volume around the

nucleus A neutron has a slightly greater mass than a proton, but each

is almost 2000 times as massive as an electron

Section 2.3

o The atomic number (Z) is the number of protons in the nucleus of

an atom The atomic number determines the identity of the atom

The mass number (A) is the sum of the protons and neutrons in the

nucleus

o Atoms with the same atomic number but different mass numbers are

called isotopes

Section 2.4

o The periodic table arranges the elements in rows (periods) and

columns (groups orfamilies) Elements in the same group exhibit

similar properties

o All elements fall into one of three categories: nonmetal, metal, or

metalloid

o Some of the groups have special names including alkali metals

(Group lA, except hydrogen), alkaline earth metals (Group 2A),

chalcogens (Group 6A), halogens (Group 7A), noble gases (Group

8A), and transition elements or transition metals (Group IB and

Groups 3B-8B)

Section 2.5

o Atomic mass is the mass of an atom in atomic mass units One atomic

mass unit (amu), is exactly one-twelfth the mass of a carbon-12 atom

o The periodic table contains the average atomic mass (sometimes

called the atomic weight) of each element

Section 2.6

o A molecule is an electrically neutral group of two or more atoms

Molecules consisting of just two atoms are called diatomic

Diatomic molecules may be homonuclear (just one kind of atom) or

heteronuclear (two kinds of atoms) In general, molecules containing more than two atoms are called polyatomic

o A chemical formula denotes the composition of a substance A

molecular formula specifies the exact numbers of atoms in a molecule

of a compound A structural formula shows the arrangement of atoms

in a substance

o An allotrope is one of two or more different forms of an element

o Molecular compounds are named according to a set of rules, including

the use of Greek prefixes to specify the number of each kind of atom

in the molecule

o Binary compounds are those that consist of two elements An acid is

a substance that generates hydrogen ions when it dissolves in water

An ionizable hydrogen atom is one that can be removed in water to become a hydrogen ion, H +

o Inorganic compounds are generally those that do not contain carbon

Organic compounds contain carbon and hydrogen, sometimes

in combination with other elements Hydrocarbons contain only carbon and hydrogen The simplest hydrocarbons are the alkanes A

functional group is a group of atoms that determines the chemical properties of an organic compound

o Empiricalformulas express, in the smallest possible whole numbers,

the ratio of the combination of atoms of the elements in a compound The empirical and molecular formulas of a compound mayor may not

be identical

Section 2.7

o An ion is an atom or group of atoms with a net charge An atomic ion

or a monatomic ion consists of just one atom

o An ion with a net positive charge is a cation An ion with a net

negative charge is an anion An ionic compound is one that consists

of cations and anions in an electrically neutral combination A dimensional array of alternating cations and anions is called a lattice

three-o Ionic compounds are named using rules similar to those for molecular

compounds In general, prefixes are not used to denote the number of ions in the names of ionic compounds

o Polyatomic ions are those that contain more than one atom chemically

bonded together Oxoanions are polyatomic ions that contain one or more oxygen atoms

o Oxoacids are acids based on oxoanions Acids with more than one

ionizable hydrogen atom are called polyprotic

o Hydrates are compounds whose formulas include a specific number of

water molecules

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Empirical formula, 51 Family, 44

Functional group, 51 Gamma ('I) rays, 39 Group, 44

Halogens, 45 Heteronuclear, 48 Homonuclear, 48 Hydrate, 61

Hydrocarbon, 51 Inorganic compounds, 51 Ion, 55 ,

QUESTIONS AND PROBLEMS

QUESTIONS AND PROBLEMS

Ionic compound, 55 Ionizable hydrogen atom, 51 Isotope, 41

Lattice, 57 Law of conservation of mass, 36 Law of definite proportions, 35 Law of multiple proportions, 35 Mass number (A), 40

Metal, 44 Metalloid, 44 Molecular formula, 48 Molecule, 47

Monatomic ion, 55 Neutron, 40

Noble gases, 45 Nonmetal, 44 Nucleons, 41

-Nucleus, 40 Organic compounds, 51 Oxoacid, 59

Oxoanion, 59 Period, 44

Periodic table, 44 Poly atomic ion, 56 Polyatomic molecule, 48 Polyprotic acid, 59

Proton, 40 Radiation, 36 Radioactivity, 38 Structural formula, 48 Transition elements, 45 Transition metals, 45

2.2 State the laws of definite proportions and multiple proportions

lllustrate each with an example

.7 Describe the experimental basi!> for believing that the nucleus

occupies a very small fraction of the volume of the atom

P roblems

The diameter of a neutral helium atom is about 1 X 102 pm

Suppose that we could line up helium atoms side by side in contact with one another Approximately how many atoms would

it take to make the distance 1 cm from end to end?

2.9 Roughly speaking, the radius of an atom is about 10,000 times

greater than that of its nucleus If an atom were magnified so that the radius of its nucleus became 2.0 cm, about the size of a marble, what would be the radius of the atom in miles?

Why do all atoms of an element have the same atomic number, although they may have different mass numbers?

What do we call atoms of the same elements with different mass numbers?

Explain the meaning of each term in the symbol1X

Calculate the number of neutrons of 239Pu

For each of the following species, determine the number of protons and the number of neutrons in the nucleus: ~He, iHe,

2I2Mg, 12 g, 4 25M 422 1, 8T' 739B 195 r, 758 Pt Indicate the number of protons, neutrons, and electrons in each of

th I I ' e 10 owrng species: 157 N , 16 ,233S 69 3C u, 8438 S I30B r, 56 a, 174 86W , 2800 g 2H

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66

2.18

CHAPTER 2 Atoms, Molecules, and Ions

Write the appropriate symbol for each of the following isotopes: (a) Z = 11, A = 23; (b) Z = 28, A = 64, (c) Z = 50, A = 115,

2.19 Write the appropriate symbol for each of the following isotopes:

(a) Z = 74, A = 186; (b) Z = 80, A = 201, (c) Z = 34, A = 76, (d) Z = 94, A = 239

2.20 Determine the mass number of (a) a boron atom with 5 neutrons,

46 neutrons, and (d) a mercury atom with 116 neutrons

2.21 Determine the mass number of (a) a fluorine atom with 10

neutrons, (b ) a sulfur atom with 18 neutrons, (c) an arsenic atom with 42 neutrons, and (d) a platinum atom with 114 neutrons

2.22 The following radioactive isotopes are used in medicine for

imaging organs, studying blood circulation, treating cancer, and so on Give the number of neutrons present in each isotope:

State two differences between a metal and a nonmetal

Write the names and symbols for four elements in each of the following categories: (a) nonmetal, (b) metal, (c) metalloid

Give two examples of each of the following: (a) alkali metals,

(b) alkaline earth metals, (c) halogens, (d) noble gases, ( e) chalcogens, (f) transition metals

The explosion of an atomic bomb in the atmosphere releases many radioactive isotopes into the environment One of the

isotopes is 9OSr Via a relatively short food chain, it can enter the human body Considering the position of strontium in the periodic table, explain why it is particularly harmful to humans

Problems

2.28 Elements whose names end with - ium are usually metals; sodium

is one example Identify a nonmetal whose name also ends with

-tum

2.29 Describe the changes in properties (from metals to nonmetals or

from nonmetals to metals) as we move (a) down a periodic group

2.30 Consult a handbook of chemical and physical data (ask your

instructor where you can locate a copy of the handbook) to find (a) two metals less dense than water, (b) two metals more dense than mercury, (c) the densest known solid metallic element, and (d) the densest known solid nonmetallic element

2.31 Group the following elements in pairs that you would expect to

show similar chemical properties: K, F, P, Na, Cl, and N

2.32

2.33

Group the following elements in pairs that you would expect to

show similar chemical properties: I, Ba, 0, Br, S, and Ca

Write the symbol for each of the following biologically important elements in the given periodic table: iron (present

in hemoglobin for transporting oxygen), iodine (present in the thyroid gland), sodium (present in intracellular and extracellular

fluids), phosphorus (present in bones and teeth), sulfur (present in proteins), and magnesium (present in chlorophyll molecules)

Explain clearly what is meant by the statement "The atomic mass

of gold is 197.0 amu."

2.37 What information would you need to calculate the average

atomic mass of an element?

Problems

2.38 The atomic masses of n Cl (75.53 percent) and n Cl (24.47

percent) are 34.968 and 36.956 amu, respectively Calculate the average atomic mass of chlorine The percentages in parentheses denote the relative abundances

2.39 The atomic masses oe04Pb (1.4 percent), 206Pb (24.1

percent),207Pb (22.1 percent), and 208Pb (52.4 percent) are 203.973020, 205.974440,206.975872, and 207.976627 amu, respectively Calculate the average atomic mass of lead The percentages in parentheses denote the relative abundances

2.40 The atomic masses of 203Tl and 20sTI are 202.972320 and

204.974401 amu, respectively Calculate the natural abundances

of these two isotopes The average atomic mass of thallium is 204.4 amu

2.41 The atomic masses of 6Li and 7Li are 6.0151 amu and

7.0160 amu, respectively Calculate the natural abundances of these two isotopes The average atomic mass of Li is 6.941 amu 2.42 What is the mass in grams of 13.2 amu?

2.43 How many atomic mass units are there in 8.4 g?

Section 2.6: Molecules and Molecular Compounds

Review Questions

2.44 2.45

What is the difference between an atom and a molecule? What are allotropes? Give an example How are allotropes different from isotopes?

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2.46

2.47

Describe the two commonly used molecular models

What does a chemical formula represent? Determine the ratio of the atoms in the following molecular formulas: (a) NO, (b) NCI3, (c) N20 4, (d) P406

2.48 Define molecular formula and empirical formula What are the

similarities and differences between the empirical formula and molecular formula of a compound?

2.49 Give an example of a case in which two molecules have different

molecular formulas but the same empirical formula

2.50 What is the difference between inorganic compounds and organic

compounds?

2.51 Give one example each for a binary compound and a ternary

compound (A ternary compound is one that contains three

differen t elements.)

2.52 Explain why the formula HCl can represent two different

chemical systems

Problems

2.53 For each of the following diagrams, determine whether it

represents diatomic molecules, poly atomic molecules, molecules that are not compounds, molecules that are compounds, or an

elemental form of the substance

_.54 For each of the following diagrams, determine whether it

represents diatomic molecules, polyatomic molecules, molecules that are not compounds, molecules that are compounds, or an

elemental form of the substance

~ L "

1 _ 57

: -8

Identify the following as elements or compounds: NH3, N2 , S8,

NO, CO, COlo Hz, SOz·

Give two examples of each of the following: (a) a diatomic

molecule containing atoms of the same element, (b) a diatomic

molecule containing atoms of different elements, (c) a polyatomic molecule containing atoms of the same element, (d) a polyatomic molecule containing atoms of different elements

Write the empirical formulas of the following compounds:

(a) CzNz, (b) C6H6, (c) C9H2o, (d) P40 lO, (e) BzH6

Write the empirical formulas of the following compounds:

(a) A12Br6, (b) Na2SZ04, (c)NzOs, (d)K2Cr207

QUESTIONS AND PROBLEMS

Write the molecular formula of alanine, an amino acid used

in protein synthesis The color codes are black (carbon), blue

(nitrogen), red (oxygen), and white (hydrogen)

Write the molecular formula of ethanol The color codes are:

black (carbon), red (oxygen), and white (hydrogen)

Name the following binary molecular compounds: (a) NCI3,

(b) IF7, (c) P406, (d) S2C12

67

Write chemical formulas for the following molecular compounds:

(a) phosphorus tribromide, (b) dinitrogen tetrafluoride, (c) xenon

tetroxide, (d) selenium trioxide

Write the molecular formulas and names of the following

Give an example of each of the following: (a) a monatomic

cation, (b) a monatomic anion, (c) a poly atomic cation, (d) a

poly atomic anion

What is an ionic compound? How is electrical neutrality maintained in an ionic compound?

Explain why the chemical formulas of ionic compounds are

usually the same as their empirical formulas

What is the Stock system? What are its advantages over the older

system of naming cations?

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68 CHAPTER 2 Atoms, Molecules, and Ions

Problems

2.69 Give the number of protons and electrons in each of the following

+ C 2+ 13+ F ' + 1 - F- S 2- 0 2- N3

-common IOns: Na, a , A , e- , , , , ,

2.70 Give the number of protons and electrons in each of the following

+ 2+ F 3+ B - M 2+ C4- C 2+

common IOns: K , Mg , e , r, n , , u

2.71 Write the formulas for the following ionic compounds:

(a) sodium oxide, (b) iron sulfide (containing the Fe2+ ion), (c) cobalt sulfate (containing the C03+ and SO~- ions),

(d) barium fluoride

2.72 Write the formulas for the following ionic compounds: (a)

copper bromide (containing the Cu+ ion), (b) manganese oxide

(containing the Mn3+ ion), (c) mercury iodide (containing the Hgi+ ion), (d) magnesium phosphate (containing the PO ~ - ion)

2.73 Which of the following compounds are likely to be ionic? Which

are likely to be molecular? SiCI4, LiF, BaClb B2H6, KCl, C2H4

2.74 Which of the following compounds are likely to be ionic? Which

are likely to be molecular? CH4, NaBr, BaFb CCI4, ICl, CsCl,

NF 3

2.75 Name the following compounds: (a) KH2P04, (b) K 1 HP0 4 ,

(m) Al(OH)3'

2.76 Name the following compounds: (a) KCIO, (b) Ag2C03,

(c) HNOz, (d) KMn04, (e) CsCI03, (f) KNH4S04, (g) FeO,

(h) Fez03' (i) TiCI4 , (j) NaH, (k) Li3N, (1) Na20, (m) Na20Z'

2.77 Write the formulas for the following compounds: (a) rubidium

nitrite, (b) potassium sulfide, (c) sodium hydrogen sulfide, (d) magnesium phosphate, (e) calcium hydrogen phosphate,

(f) potassium dihydrogen phosphate, (g) iodine heptafluoride,

(h) ammonium sulfate, (i) silver perchlorate, (j) boron trichloride

2.78 Write the formulas for the following compounds: (a) copper(I)

cyanide, (b) strontium chlorite, (c) perbromic acid, (d)

hydroiodic acid, (e) disodium ammonium phosphate, (f) lead(II)

carbonate, (g) tin(II) fluoride, (h) tetraphosphorus decasulfide,

(i) mercury(II) oxide, G) mercury(I) iodide, (k) selenium hexafluoride

2.79 In the diagrams shown here, match each of the drawings with

the following ionic compounds: A1 2 0 3 , LiH, Na2S, Mg(N03h (Green spheres represent cations and red spheres represent

anions.)

2.80 Given the formulas for the ionic compounds, draw the correct

ratio of cations to anions as shown in Problem 2.79: (a) BaS04, (b) CaF2, (c) Mg3N2, (d) K20

Additional Problems

2.81 Define the following terms: acids, bases, oxoacids, oxoanions,

and hydrates

2.82 A sample of a uranium compound is found to be losing mass

gradually Explain what is happening to the sample

2.83 In which one of the following pairs do the two species resemble

each other most closely in chemical properties: (a) : Hand: H+,

(b) liN and Ij N3- , (c) I ~C and I~C? Explain

2.84 One isotope of a metallic element has mass number 65 and 35

neutrons in the nucleus The cation derived from the isotope has

28 electrons Write the symbol for this cation

2.85 One isotope of a nonmetallic element has mass number 127 and

74 neutrons in the nucleus The anion derived from the isotope has 54 electrons Write the symbol for this anion

2.86 The following table gives numbers of electrons, protons, and

neutrons in atoms or ions of a number of elements Answer the following: (a) Which of the species are neutral? (b) Which are

negatively charged? (c) Which are positively charged? (d) What are the conventional symbols for all the species?

Atom or Ion of Element

2.88 The following phosphorus sulfides are known: P4S3, P4S7, and

P4S IO Do these compounds obey the law of mUltiple proportions?

2.89 Which of the following are elements, which are molecules but

not compounds, which are compounds but not molecules, and which are both compounds and molecules? (a) SOb (b) S8,

(c) Cs, (d) N 2 0 S' (e) 0, (f) Oz, (g) 0 3, (h) CH4, (i) KEr, ( j) S,

2.90 What is wrong with the name (given in parentheses or brackets)

for each of the following compounds: (a) BaClz (barium

dichloride), (b) Fe203 [iron(ll) oxide], (c) CsN02 (cesium

nitrate), (d) Mg(HC03h [magnesium(ll) bicarbonate]?

2.91 Discuss the significance of assigning an atomic mass of exactly

12 amu to the carbon-12 isotope

2.92 Determine what is wrong with the chemical formula and

write the correct chemical formula for each of the following compounds: (a) (NH3) 2C03 (ammonium carbonate), (b) CaOH

(zinc dichromate)

2.93 Fill in the blanks in the table:

2.94 (a) Which elements are most likely to form ionic compounds?

(b) Which metallic elements are most likely to form cations with different charges?

2.95 Write the formula of the common ion derived from each of the

following: (a) Li, (b) S, (c) I, (d) N, (e) AI, (f) Cs, (g) Mg

2.96 Which of the following symbols provides more information about

the atom: 23Na or IINa? Explain

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elements in Groups 3A, 4A, SA, and 6A

Determine the molecular and empirical formulas of the compounds shown here (Black spheres are carbon, and white

spheres are hydrogen.)

For the noble gases (the Group 8A elements) i He, igNe, i~Ar,

~~Kr, and 1~~Xe, (a) determine the number of protons and neutrons in the nucleus of each atom, and (b) determine the ratio

of neutrons to protons in the nucleus of each atom Describe any

general trend you discover in the way this ratio changes with

increasing atomic number

2.100 List the elements that exist as gases at room temperature (Hint:

Most of these elements can be found in Groups SA, 6A, 7 A,

and 8A.)

2.101 The Group IB metals, Cu, Ag, and Au, are called coinage metals

What chemical properties make them especially suitable for

making coins and jewelry?

2.102 The elements in Group 8A of the periodic table are called noble

gases Can you suggest what "noble" means in this context?

2.103 The formula for calcium oxide is CaO What are the formulas for

magnesium oxide and strontium oxide?

2.104 A common mineral of barium is barytes, or barium sulfate

(BaS04) Because elements in the same periodic group have

similar chemical properties, we might expect to find some radium sulfate (RaS04) mixed with barytes since radium is the last member of Group 2A However, the only source of radium compounds in nature is in uranium minerals Why?

after people, (c) named after a color (Consult http://www

Google.com, http://www.Wikipedia.com, or http://www

Webelements.com.)

2 106 Name the only country that is named after an element (Hint:

This country is in South America.)

hydrogen fluoride (HF) and deuterium fluoride (DF), where deuterium (TH) is an isotope of hydrogen Would a given anlOunt

of fluorine react with different masses of the two hydrogen isotopes? Does this violate the law of definite proportion? Explain

2.108 Predict the formula and name of a binary compound formed from

the following elements: (a) Na and H, (b) Band 0, (c) Na and S,

(d) Al and F, (e) F and 0 , (f) Sr and Cl

anion contains 36 electrons, (b) a radioactive noble gas with

86 protons, (c) a Group 6A element whose anion contains 36 electrons, (d) an alkali metal cation that contains 36 electrons,

(e) a Group 4A cation that contains 80 electrons

2.110 Show the locations of (a) alkali metals, (b) alkaline earth metals,

(c) the halogens, and (d) the noble gases in the given outline of

a periodic table Also draw dividing lines between metals and metalloids and between metalloids and nonmetals

3B 4B SB 6B 7B I 8B liB 2B

2.111 Fill in the blanks in the table

Magnesium bicarbonate SrCl2

Manganese(II) chlorate SnBr4

by their systematic chemical names Give the chemical formulas

of the following substances: (a) Dry ice, (b) salt, (c) laughing gas,

(d) marble (chalk, limestone), (e) baking soda, (f) ammonia,

(g) water, (h) milk of magnesia, (i) epsom salt

2.113 On page 36 it was pointed out that mass and energy are alternate

aspects of a single entity called mass-energy The relationship between these two physical quantities is Einstein's equation,

E = me 2 , where E is energy, m is mass, and e is the speed of light In a combustion experiment, it was found that 12.096 g

of hydrogen molecules combined with 96.000 g of oxygen molecules to form water and released l.71S X 103 kJ of heat

Use Einstein's equation to calculate the corresponding mass

change in this process, and comment on whether or not the law of

conservation of mass holds for ordinary chemical processes

2.114 (a) Describe Rutherford's experiment and how the results

revealed the nuclear structure of the atom (b) Consider the

23Na atom Given that the radius and mass of the nucleus are

3.04 X 10- 15 m and 3.82 X 10- 23 g, respectively, calculate the density of the nucleus in g/cm3 The radius of a 23Na atom is

186 pm Calculate the density of the space occupied by the

electrons outside the nucleus in the sodium atom Do your results

support Rutherford's model of an atom? [The volume of a sphere

of radius r is 1 'ITr 3 .]

2.115 Draw all possible structural formulas of the following

hydrocarbons: CH4, C Z H 6, C3Hs, C4H IO , and C S H I 2 •

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70 CHAPTER 2 Atoms, Molecules, and Ions

2.116 Draw two different structural formulas based on the molecular

formula C2H60 Is the fact that you can have more than one compound with the same molecular formula consistent with Dalton's atomic theory?

2.117 Ethane and acetylene are two gaseous hydrocarbons Chemical

analyses show that in one sample of ethane, 2.65 g of carbon are combined with 0.665 g of hydrogen, and in one sample

of acetylene, 4.56 g of carbon are combined with 0.383 g of hydrogen (a) Are these results consistent with the law of multiple proportions? (b) Write reasonable molecular formulas for these compounds

2.118 A cube made of platinum (Pt) has an edge length of 1.0 cm

(a) Calculate the number of Pt atoms in the cube (b) Atoms are

spherical in shape Therefore, the Pt atoms in the cube cannot fill all the available space If only 74 percent of the space inside the cube is taken up by Pt atoms, calculate the radius in picometers

of a Pt atom The density Pt is 21.45 g/cm3 , and the mass of a single Pt atom is 3.240 X 10 - 22 g [The volume of a sphere of radius r is ~1Tr3.l

2.119 A monatomic ion has a charge of + 2 The nucleus of the parent

atom has a mass number of 55 If the number of neutrons in the nucleus is 1.2 times that of the number of protons, what is the name and symbol of the element?

2.120 In the following 2 X 2 crossword, each letter must be correct

in four ways: horizontally, vertically, diagonally, and by itself

When the puzzle is complete, the four spaces will contain the

overlapping symbols of 10 elements Use capital letters for each

square There is only one correct solution

A colorless gaseous nonmetal

An element that makes fireworks green

An element that has medicinal uses

Diagonal

1-4: Two-letter symbol for an element used in electronics 2-3: Two-letter symbol for a metal used with Zr to make

wires for superconducting magnets

2.121 Name the given acids

PRE-PROFESSIONAL PRACTICE EXAM PROBLEMS:

PHYSICAL AND BIOLOGICAL SCIENCES

Carbon-14, a radioactive isotope of carbon, is used to determine the ages

of fossils in a technique called carbon dating Carbon-14 is produced in

the upper atmosphere when nitrogen-14 atoms are bombarded by neutrons

from cosmic rays 14C undergoes a process called f3 emission in which a

neutron in the nucleus decays to form a proton and an electron The

elec-tron, or f3 particle, is ejected from the nucleus Because the production and

decay of 14C occur simultaneously, the total amount of 14C in the

atmo-sphere is constant Plants absorb 14C in the form of CO2 and animals

con-sume plants and other animals Thus, all living things contain a constant

ratio of 12C to 14c When a living thing dies, the 14C it contains continues

to decay but because replenishment ceases, the ratio of 12C to 14C changes

over time Scientists use the 12C to 14C ratio to determine the age of

mate-rial that was once living

1 If atmospheric conditions were to change such that 14C were

produced at twice the current rate,

a) the world's supply of 14N would be consumed completely

b) the 12C to 14C ratio in living things would increase

c) the 12C to 14C ratio in living things would decrease

d) the 12C to 14C ratio in living things would not change

2 When a 14N nucleus is bombarded by a neutron to produce a 14C

nucleus, what else is produced?

a) Nothing b) Another neutron c) An electron

d) A proton

3 Based on the description of f3 emission in the passage, what nucleus

results from the decay of a 14C nucleus by f3 emission?

a) 14N

b) 1 3 N

c) 12C

d) 13C

4 The accuracy of carbon dating depends on the assumption that

a) 14C is the only radioactive species in the material being tested

b) the rate of decay of 14C is constant

c) 12C and 14C undergo radioactive decay at the same rate

d) each 14C nucleus decays to give a 12C nucleus

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