Chemistry 9th solution manual

Solution: a This is an ionic compound in which the metal cation K+ has only one charge.. When writing formulas of ionic compounds, the subscript of the cation is numerically equal to t

CHEMISTRY: THE STUDY OF CHANGE

1.3 (a) Quantitative This statement clearly involves a measurable distance

(b) Qualitative This is a value judgment There is no numerical scale of measurement for artistic

excellence

(c) Qualitative If the numerical values for the densities of ice and water were given, it would be a

quantitative statement

(d) Qualitative Another value judgment

(e) Qualitative Even though numbers are involved, they are not the result of measurement

1.4 (a) hypothesis (b) law (c) theory

1.11 (a) Chemical property Oxygen gas is consumed in a combustion reaction; its composition and identity are

1.12 (a) Physical change The helium isn't changed in any way by leaking out of the balloon

(b) Chemical change in the battery

(c) Physical change The orange juice concentrate can be regenerated by evaporation of the water

(d) Chemical change Photosynthesis changes water, carbon dioxide, etc., into complex organic matter (e) Physical change The salt can be recovered unchanged by evaporation

1.13 Li, lithium; F, fluorine; P, phosphorus; Cu, copper; As, arsenic; Zn, zinc; Cl, chlorine; Pt, platinum;

Mg, magnesium; U, uranium; Al, aluminum; Si, silicon; Ne, neon

1.15 (a) element (b) compound (c) element (d) compound

1.16 (a) homogeneous mixture (b) element (c) compound

(d) homogeneous mixture (e) heterogeneous mixture (f) homogeneous mixture

(g) heterogeneous mixture

1.21 mass 586 g

volume 188 mL

1.22 Strategy: We are given the density and volume of a liquid and asked to calculate the mass of the liquid

Rearrange the density equation, Equation (1.1) of the text, to solve for mass

massdensity

1.24 Strategy: Find the appropriate equations for converting between Fahrenheit and Celsius and between

Celsius and Fahrenheit given in Section 1.7 of the text Substitute the temperature values given in the problem into the appropriate equation

(a) Conversion from Fahrenheit to Celsius

(c) Conversion from Celsius to Fahrenheit

1.32 (a) Addition using scientific notation

Strategy: Let's express scientific notation as N × 10n When adding numbers using scientific notation, we

must write each quantity with the same exponent, n We can then add the N parts of the numbers, keeping the exponent, n, the same

Solution: Write each quantity with the same exponent, n

Let’s write 0.0095 in such a way that n = −3 We have decreased 10 n by 103, so we must increase N by 103 Move the decimal point 3 places to the right

The usual practice is to express N as a number between 1 and 10 Since we must decrease N by a factor of

10 to express N between 1 and 10 (1.8), we must increase 10 n by a factor of 10 The exponent, n, is

increased by 1 from −3 to −2

(b) Division using scientific notation

Strategy: Let's express scientific notation as N × 10n When dividing numbers using scientific notation,

divide the N parts of the numbers in the usual way To come up with the correct exponent, n, we subtract the

(c) Subtraction using scientific notation

Strategy: Let's express scientific notation as N × 10n When subtracting numbers using scientific notation,

we must write each quantity with the same exponent, n We can then subtract the N parts of the numbers, keeping the exponent, n, the same

Solution: Write each quantity with the same exponent, n

Let’s write 850,000 in such a way that n = 5 This means to move the decimal point five places to the left

Subtract the N parts of the numbers, keeping the exponent, n, the same

− 9.0 × 105

−0.5 × 10 5

The usual practice is to express N as a number between 1 and 10 Since we must increase N by a factor of 10

to express N between 1 and 10 (5), we must decrease 10 n by a factor of 10 The exponent, n, is decreased by

1 from 5 to 4

−0.5 × 105 = −5 × 104

(d) Multiplication using scientific notation

Strategy: Let's express scientific notation as N × 10 n When multiplying numbers using scientific notation,

multiply the N parts of the numbers in the usual way To come up with the correct exponent, n, we add the

The usual practice is to express N as a number between 1 and 10 Since we must decrease N by a factor of

10 to express N between 1 and 10 (1.3), we must increase 10 n by a factor of 10 The exponent, n, is

increased by 1 from 2 to 3

1.33 (a) four (b) two (c) five (d) two, three, or four

(e) two or three (f) one (g) one or two

1.35 (a) 10.6 m (b) 0.79 g (c) 16.5 cm2

1.36 (a) Division

Strategy: The number of significant figures in the answer is determined by the original number having the

smallest number of significant figures

The correct answer rounded off to the correct number of significant figures is:

1.28 (Why are there no units?)

(b) Subtraction

Strategy: The number of significant figures to the right of the decimal point in the answer is determined by

the lowest number of digits to the right of the decimal point in any of the original numbers

Solution: Writing both numbers in decimal notation, we have

Strategy: The number of significant figures to the right of the decimal point in the answer is determined by

the lowest number of digits to the right of the decimal point in any of the original numbers

Solution: Writing both numbers with exponents = +7, we have

(0.402 × 107 dm) + (7.74 × 107 dm) = 8.14 × 107 dm

Since 7.74 × 107 has only two digits to the right of the decimal point, two digits are carried to the right of the

decimal point in the final answer

Solution: The sequence of conversions is

Check: Does your answer seem reasonable? Should 242 lb be equivalent to 110 million mg? How many

mg are in 1 lb? There are 453,600 mg in 1 lb

(b)

Strategy: The problem may be stated as

Recall that 1 cm = 1 × 10−2 m We need to set up a conversion factor to convert from cm3 to m3

Solution: We need the following conversion factor so that centimeters cancel and we end up with meters

3 1 10 m68.3 cm

In Chapter 1 of the text, a conversion is given between liters and cm3 (1 L = 1000 cm3) If we can convert

m3 to cm3, we can then convert to liters Recall that 1 cm = 1 × 10−2 m We need to set up two conversion factors to convert from m3 to L Arrange the appropriate conversion factors so that m3 and cm3 cancel, and the unit liters is obtained in your answer

Solution: The sequence of conversions is

m3 → cm3 → L Using the following conversion factors,

3 2

3 3

Solution: The sequence of conversions is

μg → g → lb Using the following conversion factors,

1 lb453.6 g

we can write

6

1 10 g 1 lb28.3 g

Solution: The sequence of conversions is

Using the following conversion factors,

1.47 (a)

8

365 day 24 h 3600 s 3.00 10 m 1 mi1.42 yr

1.51 Substance Qualitative Statement Quantitative Statement

(a) water colorless liquid freezes at 0°C

(b) carbon black solid (graphite) density = 2.26 g/cm3

(c) iron rusts easily density = 7.86 g/cm3

(d) hydrogen gas colorless gas melts at −255.3°C

(e) sucrose tastes sweet at 0°C, 179 g of sucrose dissolves in 100 g of H2O

(f) table salt tastes salty melts at 801°C

(g) mercury liquid at room temperature boils at 357°C

(h) gold a precious metal density = 19.3 g/cm3

(i) air a mixture of gases contains 20% oxygen by volume

1.52 See Section 1.6 of your text for a discussion of these terms

(a) Chemical property Iron has changed its composition and identity by chemically combining with oxygen and water

(b) Chemical property The water reacts with chemicals in the air (such as sulfur dioxide) to produce acids, thus changing the composition and identity of the water

(c) Physical property The color of the hemoglobin can be observed and measured without changing its composition or identity

(d) Physical property The evaporation of water does not change its chemical properties Evaporation is a change in matter from the liquid state to the gaseous state

(e) Chemical property The carbon dioxide is chemically converted into other molecules

1.53 (95.0 10 lb of sulfuric acid)9 1 ton3

2.0 10 lb

×

7

4.75 10 tons of sulfuric acid×

1.54 Volume of rectangular bar = length × width × height

52.7064 g

=(8.53 cm)(2.4 cm)(1.0 cm)

1.56 You are asked to solve for the inner diameter of the tube If you can calculate the volume that the mercury

occupies, you can calculate the radius of the cylinder, Vcylinder = πr2h (r is the inner radius of the cylinder, and h is the height of the cylinder) The cylinder diameter is 2r

mass of Hgvolume of Hg filling cylinder

density of Hg

=

3 3

105.5 gvolume of Hg filling cylinder 7.757 cm

1.57 From the mass of the water and its density, we can calculate the volume that the water occupies The volume

that the water occupies is equal to the volume of the flask

massvolume

density

=

Mass of water = 87.39 g − 56.12 g = 31.27 g

3

mass = 31.27 gdensity 0.9976 g/cm

1.60 In order to work this problem, you need to understand the physical principles involved in the experiment in

Problem 1.59 The volume of the water displaced must equal the volume of the piece of silver If the silver did not sink, would you have been able to determine the volume of the piece of silver?

The liquid must be less dense than the ice in order for the ice to sink The temperature of the experiment must

be maintained at or below 0°C to prevent the ice from melting

1.61

4

3 3

mass 1.20 10 gvolume 1.05 10 cm

1.20 10 g0.53 g / cm

1.64 To work this problem, we need to convert from cubic feet to L Some tables will have a conversion factor of

28.3 L = 1 ft3, but we can also calculate it using the dimensional analysis method described in Section 1.9 of the text

First, converting from cubic feet to liters:

1.67 The key to solving this problem is to realize that all the oxygen needed must come from the 4% difference

(20% - 16%) between inhaled and exhaled air

The 240 mL of pure oxygen/min requirement comes from the 4% of inhaled air that is oxygen

240 mL of pure oxygen/min = (0.04)(volume of inhaled air/min)

240 mL of oxygen/minVolume of inhaled air/min 6000 mL of inhaled air/min

0.04

Since there are 12 breaths per min,

6000 mL of inhaled air 1 min

1 min 12 breaths

1.68 (a) 6000 mL of inhaled air 0.001 L 60 min 24 h

1 min × 1 mL × 1 h ×1 day = 8.6 10 L of air/day× 3

1 kg 2000 lb

1.70 First, calculate the volume of 1 kg of seawater from the density and the mass We chose 1 kg of seawater,

because the problem gives the amount of Mg in every kg of seawater The density of seawater is given in Problem 1.69

massvolume

density

=

1000 gvolume of 1 kg of seawater 970.9 mL 0.9709 L

1.03 g/mL

In other words, there are 1.3 g of Mg in every 0.9709 L of seawater

Next, let’s convert tons of Mg to grams of Mg

1.3 g Mg

1.71 Assume that the crucible is platinum Let’s calculate the volume of the crucible and then compare that to the

volume of water that the crucible displaces

massvolume

density

=

3

860.2 gVolume of crucible

21.45 g/cm

3

(860.2 820.2)gVolume of water displaced

0.9986 g/cm

−

The volumes are the same (within experimental error), so the crucible is made of platinum

1.72 Volume = surface area × depth

Recall that 1 L = 1 dm3 Let’s convert the surface area to units of dm2 and the depth to units of dm

1000 g

1 cm

1 2.205 lb4.0 10 kg Os

1.77 3 minutes 44.39 seconds = 224.39 seconds

Time to run 1500 meters is:

1.84 10 cm = 0.1 m We need to find the number of times the 0.1 m wire must be cut in half until the piece left is

1.3 × 10−10 m long Let n be the number of times we can cut the Cu wire in half We can write:

10

10.1 m 1.3 10 m2

1.85 (40 10 cars)6 5000 mi 1 gal gas 9.5 kg CO2

1 car 20 mi 1 gal gas

2

1.86 Volume = area × thickness

From the density, we can calculate the volume of the Al foil

3 3

volume 1.3472 cm

1.450 10 cmarea 929.03 cm

−

1.87 (a) homogeneous

(b) heterogeneous The air will contain particulate matter, clouds, etc This mixture is not homogeneous

1.88 First, let’s calculate the mass (in g) of water in the pool We perform this conversion because we know there

is 1 g of chlorine needed per million grams of water

The chlorine solution is only 6 percent chlorine by mass We can now calculate the volume of chlorine solution that must be added to the pool

100% soln 1 mL soln75.8 g chlorine

1.90 We assume that the thickness of the oil layer is equivalent to the length of one oil molecule We can

calculate the thickness of the oil layer from the volume and surface area

7

9

0.01 m 1 nm(2.5 10 cm)

2 2

A concentration of 1 ppm of fluorine is needed In other words, 1 g of fluorine is needed per million grams

of water NaF is 45.0% fluorine by mass The amount of NaF needed per year in kg is:

13

2

1 g F 100% NaF 1 kg(1.04 10 g H O)

1 L water 15.0 ft

1.93 To calculate the density of the pheromone, you need the mass of the pheromone, and the volume that it

occupies The mass is given in the problem First, let’s calculate the volume of the cylinder Converting the radius and height to cm gives:

1.94 This problem is similar in concept to a limiting reagent problem We need sets of coins with 3 quarters,

1 nickel, and 2 dimes First, we need to find the total number of each type of coin

3 1 quarterNumber of quarters (33.871 10 g) 6000 quarters

5.645 g

3 1 nickelNumber of nickels (10.432 10 g) 2100 nickels

4.967 g

3 1 dimeNumber of dimes (7.990 10 g) 3450 dimes

We do not have enough dimes

For each set of coins, we need 2 dimes for every 3 quarters

2 dimes

3 quarters

Again, we do not have enough dimes, and therefore the number of dimes is our “limiting reagent”

If we need 2 dimes per set, the number of sets that can be assembled is:

1 set

3450 dimes

2 dimes

The mass of each set is:

1.95 We wish to calculate the density and radius of the ball bearing For both calculations, we need the volume of

the ball bearing The data from the first experiment can be used to calculate the density of the mineral oil In the second experiment, the density of the mineral oil can then be used to determine what part of the 40.00 mL volume is due to the mineral oil and what part is due to the ball bearing Once the volume of the ball bearing

is determined, we can calculate its density and radius

From experiment one:

The volume of the ball bearing is obtained by difference

Volume of ball bearing = 40.00 mL − 37.40 mL = 2.60 mL = 2.60 cm3Now that we have the volume of the ball bearing, we can calculate its density and radius

3

18.713 gDensity of ball bearing

1.96 We want to calculate the mass of the cylinder, which can be calculated from its volume and density The

volume of a cylinder is πr2l The density of the alloy can be calculated using the mass percentages of each

element and the given densities of each element

The volume of the cylinder is:

V = πr2l

V = π(6.44 cm)2(44.37 cm)

V = 5781 cm3The density of the cylinder is:

density = (0.7942)(8.94 g/cm3) + (0.2058)(7.31 g/cm3) = 8.605 g/cm3

Now, we can calculate the mass of the cylinder

mass = (8.605 g/cm3)(5781 cm3) = 4.97 × 104 g

The assumption made in the calculation is that the alloy must be homogeneous in composition

1.97 It would be more difficult to prove that the unknown substance is an element Most compounds would

decompose on heating, making them easy to identify For example, see Figure 4.13(a) of the text On heating, the compound HgO decomposes to elemental mercury (Hg) and oxygen gas (O2)

1.98 The density of the mixed solution should be based on the percentage of each liquid and its density Because

the solid object is suspended in the mixed solution, it should have the same density as this solution The density of the mixed solution is:

1.99 Gently heat the liquid to see if any solid remains after the liquid evaporates Also, collect the vapor and then

compare the densities of the condensed liquid with the original liquid The composition of a mixed liquid would change with evaporation along with its density

1.100 When the carbon dioxide gas is released, the mass of the solution will decrease If we know the starting mass

of the solution and the mass of solution after the reaction is complete (given in the problem), we can calculate the mass of carbon dioxide produced Then, using the density of carbon dioxide, we can calculate the volume of carbon dioxide released

1.140 gMass of hydrochloric acid 40.00 mL 45.60 g

1 mL

Mass of solution before reaction = 45.60 g + 1.328 g = 46.928 g

We can now calculate the mass of carbon dioxide by difference

Mass of CO2 released = 46.928 g − 46.699 g = 0.229 g Finally, we use the density of carbon dioxide to convert to liters of CO2 released

Volume of CO released 0.229 g

1.81 g

1.101 As water freezes, it expands First, calculate the mass of the water at 20°C Then, determine the volume that

this mass of water would occupy at −5°C

0.916 g

The volume occupied by the ice is larger than the volume of the glass bottle The glass bottle would crack!

ATOMS, MOLECULES, AND IONS

2.7 First, convert 1 cm to picometers

10 12

2.14 Strategy: The 239 in Pu-239 is the mass number The mass number (A) is the total number of neutrons

and protons present in the nucleus of an atom of an element You can look up the atomic number (number of protons) on the periodic table

Solution:

mass number = number of protons + number of neutrons

number of neutrons = mass number − number of protons = 239 − 94 = 145

(a) 18674W (b) 20180Hg

2.23 Helium and Selenium are nonmetals whose name ends with ium (Tellerium is a metalloid whose name ends

in ium.)

2.24 (a) Metallic character increases as you progress down a group of the periodic table For example, moving

down Group 4A, the nonmetal carbon is at the top and the metal lead is at the bottom of the group

(b) Metallic character decreases from the left side of the table (where the metals are located) to the right

side of the table (where the nonmetals are located)

2.25 The following data were measured at 20°C

(a) Li (0.53 g/cm3) K (0.86 g/cm3) H2O (0.98 g/cm3)

(b) Au (19.3 g/cm3) Pt (21.4 g/cm3) Hg (13.6 g/cm3)

(c) Os (22.6 g/cm3)

(d) Te (6.24 g/cm3)

2.26 F and Cl are Group 7A elements; they should have similar chemical properties Na and K are both Group 1A

elements; they should have similar chemical properties P and N are both Group 5A elements; they should

have similar chemical properties

2.31 (a) This is a polyatomic molecule that is an elemental form of the substance It is not a compound

(b) This is a polyatomic molecule that is a compound

(c) This is a diatomic molecule that is a compound

2.32 (a) This is a diatomic molecule that is a compound

(b) This is a polyatomic molecule that is a compound

(c) This is a polyatomic molecule that is the elemental form of the substance It is not a compound

2.33 Elements: N2, S8, H2

Compounds: NH3, NO, CO, CO2, SO2

2.34 There are more than two correct answers for each part of the problem

(a) H2 and F2 (b) HCl and CO (c) S8 and P4

(d) H2O and C12H22O11 (sucrose)

2.35 Ion Na+ Ca2+ Al3+ Fe2+ I− F− S2− O2− N3−

2.36 The atomic number (Z) is the number of protons in the nucleus of each atom of an element You can find

this on a periodic table The number of electrons in an ion is equal to the number of protons minus the

charge on the ion

number of electrons (ion) = number of protons − charge on the ion

Ion K+ Mg2+ Fe3+ Br− Mn2+ C4− Cu2+

2.43 (a) Sodium ion has a +1 charge and oxide has a −2 charge The correct formula is Na2O

(b) The iron ion has a +2 charge and sulfide has a −2 charge The correct formula is FeS

(c) The correct formula is Co2(SO4)3

(d) Barium ion has a +2 charge and fluoride has a −1 charge The correct formula is BaF2

2.44 (a) The copper ion has a +1 charge and bromide has a −1 charge The correct formula is CuBr

(b) The manganese ion has a +3 charge and oxide has a −2 charge The correct formula is Mn2O3

(c) We have the Hg2 2+ ion and iodide (I−) The correct formula is Hg2I2

(d) Magnesium ion has a +2 charge and phosphate has a −3 charge The correct formula is Mg3(PO4)2

2.45 (a) CN (b) CH (c) C9H20 (d) P2O5 (e) BH3

2.46 Strategy: An empirical formula tells us which elements are present and the simplest whole-number ratio of

their atoms Can you divide the subscripts in the formula by some factor to end up with smaller number subscripts?

whole-Solution:

(a) Dividing both subscripts by 2, the simplest whole number ratio of the atoms in Al2Br6 is AlBr3

(b) Dividing all subscripts by 2, the simplest whole number ratio of the atoms in Na2S2O4 is NaSO2

(c) The molecular formula as written, N 2 O 5, contains the simplest whole number ratio of the atoms

present In this case, the molecular formula and the empirical formula are the same

(d) The molecular formula as written, K 2 Cr 2 O 7, contains the simplest whole number ratio of the atoms

present In this case, the molecular formula and the empirical formula are the same

2.47 The molecular formula of glycine is C2 H 5 NO 2

2.48 The molecular formula of ethanol is C2 H 6 O

2.49 Compounds of metals with nonmetals are usually ionic Nonmetal-nonmetal compounds are usually

2.57 (a) potassium dihydrogen phosphate (h) iodic acid

(b) potassium hydrogen phosphate (i) phosphorus pentafluoride

(c) hydrogen bromide (molecular compound) (j) tetraphosphorus hexoxide

(d) hydrobromic acid (k) cadmium iodide

(e) lithium carbonate (l) strontium sulfate

(f) potassium dichromate (m) aluminum hydroxide

(g) ammonium nitrite

2.58 Strategy: When naming ionic compounds, our reference for the names of cations and anions is Table 2.3

of the text Keep in mind that if a metal can form cations of different charges, we need to use the Stock system In the Stock system, Roman numerals are used to specify the charge of the cation The metals that have only one charge in ionic compounds are the alkali metals (+1), the alkaline earth metals (+2), Ag+,

Zn2+, Cd2+, and Al3+

When naming acids, binary acids are named differently than oxoacids For binary acids, the name is based

on the nonmetal For oxoacids, the name is based on the polyatomic anion For more detail, see Section 2.7

of the text

Solution:

(a) This is an ionic compound in which the metal cation (K+) has only one charge The correct name is

potassium hypochlorite Hypochlorite is a polyatomic ion with one less O atom than the chlorite ion,

ClO2 −

(b) silver carbonate

(c) This is an oxoacid that contains the nitrite ion, NO2 − The “-ite” suffix is changed to “-ous” The

correct name is nitrous acid

(d) potassium permanganate (e) cesium chlorate (f) potassium ammonium sulfate

(g) This is an ionic compound in which the metal can form more than one cation Use a Roman numeral to

specify the charge of the Fe ion Since the oxide ion has a −2 charge, the Fe ion has a +2 charge The

correct name is iron(II) oxide

(h) iron(III) oxide

(i) This is an ionic compound in which the metal can form more than one cation Use a Roman numeral to

specify the charge of the Ti ion Since each of the four chloride ions has a −1 charge (total of −4), the

Ti ion has a +4 charge The correct name is titanium(IV) chloride

(j) sodium hydride (k) lithium nitride (l) sodium oxide

(m) This is an ionic compound in which the metal cation (Na+) has only one charge The O2 2− ion is called the peroxide ion Each oxygen has a −1 charge You can determine that each oxygen only has a −1 charge, because each of the two Na ions has a +1 charge Compare this to sodium oxide in part (l)

The correct name is sodium peroxide

2.59 (a) RbNO2 (b) K2S (c) NaHS (d) Mg3(PO4)2 (e) CaHPO4

(f) KH2PO4 (g) IF7 (h) (NH4)2SO4 (i) AgClO4 (j) BCl3

2.60 Strategy: When writing formulas of molecular compounds, the prefixes specify the number of each type of

atom in the compound

When writing formulas of ionic compounds, the subscript of the cation is numerically equal to the charge of the anion, and the subscript of the anion is numerically equal to the charge on the cation If the charges of the

cation and anion are numerically equal, then no subscripts are necessary Charges of common cations and anions are listed in Table 2.3 of the text Keep in mind that Roman numerals specify the charge of the cation,

not the number of metal atoms Remember that a Roman numeral is not needed for some metal cations,

because the charge is known These metals are the alkali metals (+1), the alkaline earth metals (+2), Ag+,

Zn2+, Cd2+, and Al3+

When writing formulas of oxoacids, you must know the names and formulas of polyatomic anions (see Table 2.3 of the text)

Solution:

(a) The Roman numeral I tells you that the Cu cation has a +1 charge Cyanide has a −1 charge Since, the

charges are numerically equal, no subscripts are necessary in the formula The correct formula is

CuCN

(b) Strontium is an alkaline earth metal It only forms a +2 cation The polyatomic ion chlorite, ClO2 −, has

a −1 charge Since the charges on the cation and anion are numerically different, the subscript of the cation is numerically equal to the charge on the anion, and the subscript of the anion is numerically

equal to the charge on the cation The correct formula is Sr(ClO2 ) 2

(c) Perbromic tells you that the anion of this oxoacid is perbromate, BrO4 − The correct formula is

HBrO 4(aq) Remember that (aq) means that the substance is dissolved in water

(d) Hydroiodic tells you that the anion of this binary acid is iodide, I− The correct formula is HI(aq)

(e) Na is an alkali metal It only forms a +1 cation The polyatomic ion ammonium, NH4+, has a +1 charge and the polyatomic ion phosphate, PO4 3−, has a −3 charge To balance the charge, you need 2

Na+ cations The correct formula is Na2 (NH 4 )PO 4

(f) The Roman numeral II tells you that the Pb cation has a +2 charge The polyatomic ion carbonate,

CO3 2−, has a −2 charge Since, the charges are numerically equal, no subscripts are necessary in the

formula The correct formula is PbCO3

(g) The Roman numeral II tells you that the Sn cation has a +2 charge Fluoride has a −1 charge Since the charges on the cation and anion are numerically different, the subscript of the cation is numerically equal to the charge on the anion, and the subscript of the anion is numerically equal to the charge on the

cation The correct formula is SnF2

(h) This is a molecular compound The Greek prefixes tell you the number of each type of atom in the

molecule The correct formula is P4 S 10

(i) The Roman numeral II tells you that the Hg cation has a +2 charge Oxide has a −2 charge Since, the

charges are numerically equal, no subscripts are necessary in the formula The correct formula is HgO

(j) The Roman numeral I tells you that the Hg cation has a +1 charge However, this cation exists as

Hg2 2+ Iodide has a −1 charge You need two iodide ion to balance the +2 charge of Hg2 2+ The

correct formula is Hg2 I 2

(k) This is a molecular compound The Greek prefixes tell you the number of each type of atom in the

molecule The correct formula is SeF6

2.61 Uranium is radioactive It loses mass because it constantly emits alpha (α) particles

2.62 Changing the electrical charge of an atom usually has a major effect on its chemical properties The two

electrically neutral carbon isotopes should have nearly identical chemical properties

2.63 The number of protons = 65 − 35 = 30 The element that contains 30 protons is zinc, Zn There are two

fewer electrons than protons, so the charge of the cation is +2 The symbol for this cation is Zn2+

2.64 Atomic number = 127 − 74 = 53 This anion has 53 protons, so it is an iodide ion Since there is one more

electron than protons, the ion has a −1 charge The correct symbol is I−

2.65 (a) Species with the same number of protons and electrons will be neutral A, F, G

(b) Species with more electrons than protons will have a negative charge B, E

(c) Species with more protons than electrons will have a positive charge C, D

(d) A: 105B B: 147N3− C: 3919K+ D: 6630Zn2+ E: 3581Br− F: 115B G: 199F

2.66 NaCl is an ionic compound; it doesn’t form molecules

2.67 Yes The law of multiple proportions requires that the masses of sulfur combining with phosphorus must be

in the ratios of small whole numbers For the three compounds shown, four phosphorus atoms combine with three, seven, and ten sulfur atoms, respectively If the atom ratios are in small whole number ratios, then the mass ratios must also be in small whole number ratios

2.68 The species and their identification are as follows:

(a) SO2 molecule and compound (g) O3 element and molecule

(b) S8 element and molecule (h) CH4 molecule and compound

(d) N2O5 molecule and compound (j) S element

(f) O2 element and molecule (l) LiF compound

2.69 (a) This is an ionic compound Prefixes are not used The correct name is barium chloride

(b) Iron has a +3 charge in this compound The correct name is iron(III) oxide

(c) NO2 − is the nitrite ion The correct name is cesium nitrite

(d) Magnesium is an alkaline earth metal, which always has a +2 charge in ionic compounds The roman numeral is not necessary The correct name is magnesium bicarbonate

2.70 (a) Ammonium is NH4 +, not NH3 + The formula should be (NH4 ) 2 CO 3

(b) Calcium has a +2 charge and hydroxide has a −1 charge The formula should be Ca(OH)2

(c) Sulfide is S2−, not SO3 2− The correct formula is CdS

(d) Dichromate is Cr2O7 2−, not Cr2O4 2− The correct formula is ZnCr2 O 7

2.72 (a) Ionic compounds are typically formed between metallic and nonmetallic elements

(b) In general the transition metals, the actinides and lanthanides have variable charges

2.73 (a) Li+, alkali metals always have a +1 charge in ionic compounds

(b) S2−

(c) I−, halogens have a −1 charge in ionic compounds

(d) N3−

(e) Al3+, aluminum always has a +3 charge in ionic compounds

(f) Cs+, alkali metals always have a +1 charge in ionic compounds

(g) Mg2+, alkaline earth metals always have a +2 charge in ionic compounds

2.74 The symbol 23Na provides more information than 11Na The mass number plus the chemical symbol

identifies a specific isotope of Na (sodium) while combining the atomic number with the chemical symbol tells you nothing new Can other isotopes of sodium have different atomic numbers?

2.75 The binary Group 7A element acids are: HF, hydrofluoric acid; HCl, hydrochloric acid; HBr, hydrobromic

acid; HI, hydroiodic acid Oxoacids containing Group 7A elements (using the specific examples for

chlorine) are: HClO4, perchloric acid; HClO3, chloric acid; HClO2, chlorous acid: HClO, hypochlorous acid Examples of oxoacids containing other Group A-block elements are: H3BO3, boric acid (Group 3A);

H2CO3, carbonic acid (Group 4A); HNO3, nitric acid and H3PO4, phosphoric acid (Group 5A); and H2SO4, sulfuric acid (Group 6A) Hydrosulfuric acid, H2S, is an example of a binary Group 6A acid while HCN, hydrocyanic acid, contains both a Group 4A and 5A element

2.76 Mercury (Hg) and bromine (Br2)

2.77 (a) Isotope 42He 2010Ne 4018Ar 8436Kr 13254Xe

The neutron/proton ratio increases with increasing atomic number

2.78 H2, N2, O2, F2, Cl2, He, Ne, Ar, Kr, Xe, Rn

2.79 Cu, Ag, and Au are fairly chemically unreactive This makes them specially suitable for making coins and

jewelry, that you want to last a very long time

2.80 They do not have a strong tendency to form compounds Helium, neon, and argon are chemically inert

2.81 Magnesium and strontium are also alkaline earth metals You should expect the charge of the metal to be the

same (+2) MgO and SrO

2.82 All isotopes of radium are radioactive It is a radioactive decay product of uranium-238 Radium itself does

not occur naturally on Earth

2.83 (a) Berkelium (Berkeley, CA); Europium (Europe); Francium (France); Scandium (Scandinavia);

Ytterbium (Ytterby, Sweden); Yttrium (Ytterby, Sweden)

(b) Einsteinium (Albert Einstein); Fermium (Enrico Fermi); Curium (Marie and Pierre Curie);

Mendelevium (Dmitri Mendeleev); Lawrencium (Ernest Lawrence)

(c) Arsenic, Cesium, Chlorine, Chromium, Iodine

2.84 Argentina is named after silver (argentum, Ag)

2.85 The mass of fluorine reacting with hydrogen and deuterium would be the same The ratio of F atom to

hydrogen (or deuterium) is 1:1 in both compounds This does not violate the law of definite proportions When the law of definite proportions was formulated, scientists did not know of the existence of isotopes

2.86 (a) NaH, sodium hydride (b) B2O3, diboron trioxide (c) Na2S, sodium sulfide

(d) AlF3, aluminum fluoride (e) OF2, oxygen difluoride (f) SrCl2, strontium chloride

2.88 All of these are molecular compounds We use prefixes to express the number of each atom in the molecule

The names are nitrogen trifluoride (NF3), phosphorus pentabromide (PBr5), and sulfur dichloride (SCl2)

2.89

The metalloids are shown in gray

2.90

Cation Anion Formula Name

Mg 2 + HCO 3 − Mg(HCO 3 ) 2 Magnesium bicarbonate

Sr 2 + Cl− SrCl2 Strontium chloride

Fe3+ NO2 − Fe(NO 2 ) 3 Iron(III) nitrite

Mn 2 + ClO 3− Mn(ClO 3 ) 2 Manganese(II) chlorate

2.91 (a) CO2(s), solid carbon dioxide (f) Ca(OH)2, calcium hydroxide

(b) NaCl, sodium chloride (g) NaHCO3, sodium bicarbonate

(c) N2O, nitrous oxide (h) Na2CO3⋅10H2O, sodium carbonate decahydrate

(d) CaCO3, calcium carbonate (i) CaSO4⋅2H2O, calcium sulfate dihydrate

(e) CaO, calcium oxide (j) Mg(OH)2, magnesium hydroxide

alkali

metals alkaline earth metals

3A 4A 5A 6A 2A

1A

7A 8A halogens noble gases

2.92 The change in energy is equal to the energy released We call this ΔE Similarly, Δm is the change in mass

1 kJ

1.91 10 kg(3.00 10 m/s)

H

H H H C H

H C

H H H

C4H10 has two structural formulas

H C

H C H

H H

H

C

H H H

C H C

H H H

C H

H H

C5H12 has three structural formulas

H C

H C H

C H

H H

H H

C

H

H C

H C

C H

H H

H H

C

H H H

C C C

H H H

C H

H H

H H H

2.94 (a) Rutherford’s experiment is described in detail in Section 2.2 of the text From the average magnitude

of scattering, Rutherford estimated the number of protons (based on electrostatic interactions) in the nucleus

(b) Assuming that the nucleus is spherical, the volume of the nucleus is:

The density of the nucleus can now be calculated

23

37 3

3.82 10 g1.177 10 cm

12

8 2

Velectrons = Vatom − Vnucleus = (2.695 × 10−23 cm3) − (1.177 × 10−37 cm3) = 2.695 × 10−23 cm3

As you can see, the volume occupied by the nucleus is insignificant compared to the space occupied by the electrons

The density of the space occupied by the electrons can now be calculated

26

23 3

1.00205 10 g2.695 10 cm

the nucleus was a dense central core with most of the mass of the atom concentrated in it Comparing

the density of the nucleus with the density of the space occupied by the electrons also supports

O C H

H H

In the second hypothesis of Dalton’s Atomic Theory, he states that in any compound, the ratio of the number

of atoms of any two of the elements present is either an integer or simple fraction In the above two

compounds, the ratio of atoms is the same This does not necessarily contradict Dalton’s hypothesis, but

Dalton was not aware of chemical bond formation and structural formulas

2.96 (a) Ethane Acetylene

2.65 g C 4.56 g C

0.665 g H 0.383 g H

Let’s compare the ratio of the hydrogen masses in the two compounds To do this, we need to start with the same mass of carbon If we were to start with 4.56 g of C in ethane, how much hydrogen would combine with 4.56 g of carbon?

4.56 g C0.665 g H 1.14 g H

2.65 g C

We can calculate the ratio of H in the two compounds

1.14 g 30.383 g ≈

This is consistent with the Law of Multiple Proportions which states that if two elements combine to form more than one compound, the masses of one element that combine with a fixed mass of the other element are in ratios of small whole numbers In this case, the ratio of the masses of hydrogen in the two compounds is 3:1

(b) For a given amount of carbon, there is 3 times the amount of hydrogen in ethane compared to acetylene Reasonable formulas would be:

1 cm 3.240 10− g Pt

×

22 6.6 10 Pt atoms×

(b) Since 74 percent of the available space is taken up by Pt atoms, 6.6 × 1022 atoms occupy the following

The volume of a sphere is 4 3

3πr Solving for the radius:

Converting to picometers:

8

12

0.01 m 1 pm(1.4 10 cm)

2.98 The mass number is the sum of the number of protons and neutrons in the nucleus

Mass number = number of protons + number of neutrons Let the atomic number (number of protons) equal A The number of neutrons will be 1.2A Plug into the

above equation and solve for A

MASS RELATIONSHIPS IN CHEMICAL REACTIONS 3.5 (34.968 amu)(0.7553) + (36.956 amu)(0.2447) = 35.45 amu

3.6 Strategy: Each isotope contributes to the average atomic mass based on its relative abundance

Multiplying the mass of an isotope by its fractional abundance (not percent) will give the contribution to the average atomic mass of that particular isotope

It would seem that there are two unknowns in this problem, the fractional abundance of 6Li and the fractional abundance of 7Li However, these two quantities are not independent of each other; they are related by the

fact that they must sum to 1 Start by letting x be the fractional abundance of 6Li Since the sum of the two abundance’s must be 1, we can write

6.022 10 particles4.1 10 particles/yr

3.12 The thickness of the book in miles would be:

5.88 10 mi

×

3 5.8 10 light - yr×

It will take light 5.8 × 103 years to travel from the first page to the last one!

3.15 77.4 g of Ca 1 mol Ca

40.08 g Ca

3.16 Strategy: We are given moles of gold and asked to solve for grams of gold What conversion factor do we

need to convert between moles and grams? Arrange the appropriate conversion factor so moles cancel, and the unit grams is obtained for the answer

Solution: The conversion factor needed to covert between moles and grams is the molar mass In the

periodic table (see inside front cover of the text), we see that the molar mass of Au is 197.0 g This can be expressed as

1 mol Au = 197.0 g Au From this equality, we can write two conversion factors

1 mol Au and 197.0 g Au197.0 g Au 1 mol Au

The conversion factor on the right is the correct one Moles will cancel, leaving the unit grams for the answer

Strategy: We can look up the molar mass of arsenic (As) on the periodic table (74.92 g/mol) We want to

find the mass of a single atom of arsenic (unit of g/atom) Therefore, we need to convert from the unit mole

in the denominator to the unit atom in the denominator What conversion factor is needed to convert between moles and atoms? Arrange the appropriate conversion factor so mole in the denominator cancels, and the unit atom is obtained in the denominator

Solution: The conversion factor needed is Avogadro's number We have

1 mol = 6.022 × 1023 particles (atoms) From this equality, we can write two conversion factors

23 23

1 mol As and 6.022 10 As atoms

1 mol As6.022 10 As atoms

×

×

The conversion factor on the left is the correct one Moles will cancel, leaving the unit atoms in the

denominator of the answer

(b) Follow same method as part (a)

Check: Should the mass of a single atom of As or Ni be a very small mass?

3.19 1.00 10 Pb atoms12 1 mol Pb23 207.2 g Pb

1 mol Pb6.022 10 Pb atoms

×

10 3.44 10× − g Pb

3.20 Strategy: The question asks for atoms of Cu We cannot convert directly from grams to atoms of copper

What unit do we need to convert grams of Cu to in order to convert to atoms? What does Avogadro's number represent?

Solution: To calculate the number of Cu atoms, we first must convert grams of Cu to moles of Cu We use

the molar mass of copper as a conversion factor Once moles of Cu are obtained, we can use Avogadro's number to convert from moles of copper to atoms of copper

1 mol Cu = 63.55 g Cu The conversion factor needed is

1 mol Cu63.55 g Cu

Avogadro's number is the key to the second conversion We have

1 mol = 6.022 × 1023 particles (atoms) From this equality, we can write two conversion factors

23 23

1 mol Cu and 6.022 10 Cu atoms

1 mol Cu6.022 10 Cu atoms

×

×

The conversion factor on the right is the one we need because it has number of Cu atoms in the numerator, which is the unit we want for the answer

Let's complete the two conversions in one step

grams of Cu → moles of Cu → number of Cu atoms

23

1 mol Cu 6.022 10 Cu atoms3.14 g Cu

63.55 g Cu 1 mol Cu

×

Check: Should 3.14 g of Cu contain fewer than Avogadro's number of atoms? What mass of Cu would

contain Avogadro's number of atoms?

3.21 For hydrogen: 1.10 g H 1 mol H 6.022 10 H atoms23

2 atoms of lead have a greater mass than 5.1 × 10−23 mol of helium

3.23 Using the appropriate atomic masses,

(a) CH4 12.01 amu + 4(1.008 amu) = 16.04 amu

(b) NO2 14.01 amu + 2(16.00 amu) = 46.01 amu

(c) SO3 32.07 amu + 3(16.00 amu) = 80.07 amu

(d) C6H6 6(12.01 amu) + 6(1.008 amu) = 78.11 amu

(e) NaI 22.99 amu + 126.9 amu = 149.9 amu

(f) K2SO4 2(39.10 amu) + 32.07 amu + 4(16.00 amu) = 174.27 amu

(g) Ca3(PO4)2 3(40.08 amu) + 2(30.97 amu) + 8(16.00 amu) = 310.18 amu

3.24 Strategy: How do molar masses of different elements combine to give the molar mass of a compound?

Solution: To calculate the molar mass of a compound, we need to sum all the molar masses of the elements

in the molecule For each element, we multiply its molar mass by the number of moles of that element in one mole of the compound We find molar masses for the elements in the periodic table (inside front cover of the text)

(a) molar mass Li 2 CO 3 = 2(6.941 g) + 12.01 g + 3(16.00 g) = 73.89 g

3.26 Strategy: We are given grams of ethane and asked to solve for molecules of ethane We cannot convert

directly from grams ethane to molecules of ethane What unit do we need to obtain first before we can convert to molecules? How should Avogadro's number be used here?

Solution: To calculate number of ethane molecules, we first must convert grams of ethane to moles of

ethane We use the molar mass of ethane as a conversion factor Once moles of ethane are obtained, we can use Avogadro's number to convert from moles of ethane to molecules of ethane

molar mass of C2H6 = 2(12.01 g) + 6(1.008 g) = 30.068 g The conversion factor needed is

2 6

2 6

1 mol C H30.068 g C H

Avogadro's number is the key to the second conversion We have

1 mol = 6.022 × 1023 particles (molecules) From this equality, we can write the conversion factor:

23

6.022 10 ethane molecules

1 mol ethane

×

Let's complete the two conversions in one step

grams of ethane → moles of ethane → number of ethane molecules

Check: Should 0.334 g of ethane contain fewer than Avogadro's number of molecules? What mass of

ethane would contain Avogadro's number of molecules?

The ratio of H atoms to C atoms in glucose is 2:1 Therefore, there are twice as many H atoms in glucose as

C atoms, so the number of H atoms = 2(3.01 × 1022 atoms) = 6.02 × 1022 H atoms

3.28 Strategy: We are asked to solve for the number of N, C, O, and H atoms in 1.68 × 104 g of urea We

cannot convert directly from grams urea to atoms What unit do we need to obtain first before we can

convert to atoms? How should Avogadro's number be used here? How many atoms of N, C, O, or H are in

1 molecule of urea?

Solution: Let's first calculate the number of N atoms in 1.68 × 104 g of urea First, we must convert grams

of urea to number of molecules of urea This calculation is similar to Problem 3.26 The molecular formula

of urea shows there are two N atoms in one urea molecule, which will allow us to convert to atoms of N We need to perform three conversions:

grams of urea → moles of urea → molecules of urea → atoms of N The conversion factors needed for each step are: 1) the molar mass of urea, 2) Avogadro's number, and 3) the number of N atoms in 1 molecule of urea

We complete the three conversions in one calculation

The above method utilizes the ratio of molecules (urea) to atoms (nitrogen) We can also solve the problem

by reading the formula as the ratio of moles of urea to moles of nitrogen by using the following conversions: grams of urea → moles of urea → moles of N → atoms of N