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Chemistry

Raymond Chang, Jason Overby

Chapter 3

Mass Relationships in Chemical Reactions - all with Video Answers

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Chapter Questions

00:32

Problem 1

What is an atomic mass unit? Why is it necessary to introduce such a unit?

Dylan Miller
Dylan Miller
Numerade Educator
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Problem 2

What is the mass (in amu) of a carbon-12 atom? Why is the atomic mass of carbon listed as 12.01 amu in the List of the Elements with Their Symbols and Atomic Masses?

Susan Hallstrom
Susan Hallstrom
Numerade Educator
00:35

Problem 3

Explain clearly what is meant by the statement, "The atomic mass of gold is 197.0 amu."

Dylan Miller
Dylan Miller
Numerade Educator
01:40

Problem 4

What information would you need to calculate the average atomic mass of an element?

Benjamin Knudsen
Benjamin Knudsen
Numerade Educator
01:34

Problem 5

The atomic masses of ${ }_{17}^{35} \mathrm{Cl}(75.53$ percent) and ${ }_{17}^{37} \mathrm{Cl}(24.47$ percent) are 34.968 amu and 36.956 amu, respectively. Calculate the average atomic mass of chlorine. The percentages in parentheses denote the relative abundances.

Dylan Miller
Dylan Miller
Numerade Educator
04:17

Problem 6

The atomic masses of ${ }_{3}^{6} \mathrm{Li}$ and ${ }_{3}^{7} \mathrm{Li}$ are $6.0151 \mathrm{amu}$ and 7.0160 amu, respectively. Calculate the natural abundances of these two isotopes. The average atomic mass of $\mathrm{Li}$ is $6.941 \mathrm{amu}$.

Benjamin Knudsen
Benjamin Knudsen
Numerade Educator
01:30

Problem 7

What is the mass in grams of 13.2 amu?

Dylan Miller
Dylan Miller
Numerade Educator
01:25

Problem 8

How many amu are there in $8.4 \mathrm{~g}$ ?

Benjamin Knudsen
Benjamin Knudsen
Numerade Educator
01:19

Problem 9

Define the term "mole." What is the unit for mole in calculations? What does the mole have in common with the pair, the dozen, and the gross? What does Avogadro's number represent?

Dylan Miller
Dylan Miller
Numerade Educator
01:11

Problem 10

What is the molar mass of an atom? What are the commonly used units for molar mass?

Benjamin Knudsen
Benjamin Knudsen
Numerade Educator
02:37

Problem 11

Earth's population is about 7.2 billion. Suppose that every person on Earth participates in a process of counting identical particles at the rate of two particles per second. How many years would it take to count $6.0 \times 10^{23}$ particles? Assume that there are 365 days in a year.

Dylan Miller
Dylan Miller
Numerade Educator
04:01

Problem 12

The thickness of a piece of paper is 0.0036 in. Suppose a certain book has an Avogadro's number of pages; calculate the thickness of the book in light-years. (Hint: See Problem 1.51 for the definition of light-year.)

Benjamin Knudsen
Benjamin Knudsen
Numerade Educator
01:48

Problem 13

How many atoms are there in 5.10 moles of sulfur (S)?

Dylan Miller
Dylan Miller
Numerade Educator
01:28

Problem 14

How many moles of cobalt (Co) atoms are there in $6.00 \times 10^{9}$ (6 billion) Co atoms?

Benjamin Knudsen
Benjamin Knudsen
Numerade Educator
01:15

Problem 15

How many moles of calcium (Ca) atoms are in $77.4 \mathrm{~g}$ of $\mathrm{Ca} ?$

Dylan Miller
Dylan Miller
Numerade Educator
01:20

Problem 16

How many grams of gold (Au) are there in 15.3 moles of Au?

David Collins
David Collins
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01:30

Problem 17

What is the mass in grams of a single atom of each of the following elements?
(a) $\mathrm{Hg}$,
(b) Ne.

Dylan Miller
Dylan Miller
Numerade Educator
02:28

Problem 18

What is the mass in grams of a single atom of each of the following elements?
(a) As,
(b) Ni.

Benjamin Knudsen
Benjamin Knudsen
Numerade Educator
01:52

Problem 19

What is the mass in grams of $1.00 \times 10^{12}$ lead $(\mathrm{Pb})$ atoms?

Dylan Miller
Dylan Miller
Numerade Educator
02:23

Problem 20

A modern penny weighs $2.5 \mathrm{~g}$ but contains only $0.063 \mathrm{~g}$ of copper (Cu). How many copper atoms are present in a modern penny?

Benjamin Knudsen
Benjamin Knudsen
Numerade Educator
02:59

Problem 21

Which of the following has more atoms: $1.10 \mathrm{~g}$ of hydrogen atoms or $14.7 \mathrm{~g}$ of chromium atoms?

Dylan Miller
Dylan Miller
Numerade Educator
02:35

Problem 22

Which of the following has a greater mass: 2 atoms of lead or $5.1 \times 10^{-23}$ mole of helium.

Benjamin Knudsen
Benjamin Knudsen
Numerade Educator
02:38

Problem 23

Calculate the molecular mass or formula mass (in amu) of each of the following substances: (a) $\mathrm{CH}_{4}$
(b) $\mathrm{NO}_{2},(\mathrm{c}) \mathrm{SO}_{3},(\mathrm{~d}) \mathrm{C}_{6} \mathrm{H}_{6}$
(e) NaI,
(f) $\mathrm{K}_{2} \mathrm{SO}_{4}$
$(\mathrm{g}) \mathrm{Ca}_{3}\left(\mathrm{PO}_{4}\right)_{2}$

Dylan Miller
Dylan Miller
Numerade Educator
02:38

Problem 24

Calculate the molar mass of the following substances:
(a) $\mathrm{Li}_{2} \mathrm{CO}_{3},$
(b) $\mathrm{CS}_{2},$
(c) $\mathrm{CHCl}_{3}$ (chloro-form),
(d) $\mathrm{C}_{6} \mathrm{H}_{8} \mathrm{O}_{6}$ (ascorbic acid, or vitamin $\mathrm{C}$ ),
(e) $\mathrm{KNO}_{3},$
(f) $\mathrm{Mg}_{3} \mathrm{~N}_{2}$.

Nicole Krahulik
Nicole Krahulik
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01:23

Problem 25

Calculate the molar mass of a compound if 0.372 mole of it has a mass of $152 \mathrm{~g}$.

Dylan Miller
Dylan Miller
Numerade Educator
02:19

Problem 26

How many molecules of ethane $\left(\mathrm{C}_{2} \mathrm{H}_{6}\right)$ are present in $0.334 \mathrm{~g}$ of $\mathrm{C}_{2} \mathrm{H}_{6} ?$

Benjamin Knudsen
Benjamin Knudsen
Numerade Educator
02:49

Problem 27

Calculate the number of $\mathrm{C}, \mathrm{H},$ and $\mathrm{O}$ atoms in $1.50 \mathrm{~g}$ of glucose $\left(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}\right),$ a sugar.

Dylan Miller
Dylan Miller
Numerade Educator
06:30

Problem 28

Dimethyl sulfoxide $\left[\left(\mathrm{CH}_{3}\right)_{2} \mathrm{SO}\right]$, also called DMSO, is an important solvent that penetrates the skin, enabling it to be used as a topical drug-delivery agent. Calculate the number of $\mathrm{C}, \mathrm{S}, \mathrm{H},$ and $\mathrm{O}$ atoms in $7.14 \times 10^{3} \mathrm{~g}$ of dimethyl sulfoxide.

Benjamin Knudsen
Benjamin Knudsen
Numerade Educator
02:22

Problem 29

Pheromones are a special type of compound secreted by the females of many insect species to attract the males for mating. One pheromone has the molecular formula $\mathrm{C}_{19} \mathrm{H}_{38} \mathrm{O}$. Normally, the amount of this pheromone secreted by a female insect is about $1.0 \times 10^{-12} \mathrm{~g} .$ How many molecules are there in this quantity?

Dylan Miller
Dylan Miller
Numerade Educator
02:44

Problem 30

The density of water is $1.00 \mathrm{~g} / \mathrm{mL}$ at $4^{\circ} \mathrm{C}$. How many water molecules are present in $2.56 \mathrm{~mL}$ of water at this temperature?

Benjamin Knudsen
Benjamin Knudsen
Numerade Educator
13:31

Problem 31

Describe the operation of a mass spectrometer.

Shazia Naz
Shazia Naz
Numerade Educator
01:53

Problem 32

Describe how you would determine the isotopic abundance of an element from its mass spectrum.

Benjamin Knudsen
Benjamin Knudsen
Numerade Educator
01:35

Problem 33

Carbon has two stable isotopes, ${ }_{6}^{12} \mathrm{C}$ and ${ }_{6}^{13} \mathrm{C},$ and fluorine has only one stable isotope, ${ }_{9}^{19} \mathrm{~F}$. How many peaks would you observe in the mass spectrum of the positive ion of $\mathrm{CF}_{4}^{+} ?$ Assume that the ion does not break up into smaller fragments.

Stephen Ho
Stephen Ho
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Problem 34

Hydrogen has two stable isotopes, ${ }_{1}^{1} \mathrm{H}$ and ${ }_{1}^{2} \mathrm{H},$ and sulfur has four stable isotopes, ${ }_{16}^{32} \mathrm{~S},{ }_{16}^{33} \mathrm{~S},{ }_{16}^{34} \mathrm{~S},$ and ${ }_{16}^{36} \mathrm{~S}$. How many peaks would you observe in the mass spectrum of the positive ion of hydrogen sulfide, $\mathrm{H}_{2} \mathrm{~S}^{+} ?$ Assume no decomposition of the ion into smaller fragments.

Susan Hallstrom
Susan Hallstrom
Numerade Educator
02:20

Problem 35

Use ammonia $\left(\mathrm{NH}_{3}\right)$ to explain what is meant by the percent composition by mass of a compound.

Dylan Miller
Dylan Miller
Numerade Educator
03:33

Problem 36

Describe how the knowledge of the percent composition by mass of an unknown compound can help us identify the compound.

Benjamin Knudsen
Benjamin Knudsen
Numerade Educator
02:12

Problem 37

Tin (Sn) exists in Earth's crust as $\mathrm{SnO}_{2}$. Calculate the percent composition by mass of $\mathrm{Sn}$ and $\mathrm{O}$ in $\mathrm{SnO}_{2}$

Dylan Miller
Dylan Miller
Numerade Educator
02:03

Problem 38

For many years chloroform $\left(\mathrm{CHCl}_{3}\right)$ was used as an inhalation anesthetic in spite of the fact that it is also a toxic substance that may cause severe liver, kidney, and heart damage. Calculate the percent composition by mass of this compound.

Benjamin Knudsen
Benjamin Knudsen
Numerade Educator
03:37

Problem 39

Cinnamic alcohol is used mainly in perfumery, particularly in soaps and cosmetics. Its molecular for$\begin{array}{lll}\text { mula is } & \text { C }_{9} \text { H }_{10} \text { O. }\end{array}$
(a) Calculate the percent composition by mass of $\mathrm{C}, \mathrm{H},$ and $\mathrm{O}$ in cinnamic alcohol.
(b) How many molecules of cinnamic alcohol are contained in a sample of mass $0.469 \mathrm{~g} ?$

Dylan Miller
Dylan Miller
Numerade Educator
06:25

Problem 40

All of the substances listed here are fertilizers that contribute nitrogen to the soil. Which of these is the richest source of nitrogen on a mass percentage basis?
(a) Urea, $\left(\mathrm{NH}_{2}\right)_{2} \mathrm{CO}$
(b) Ammonium nitrate, $\mathrm{NH}_{4} \mathrm{NO}_{3}$
(c) Guanidine, $\mathrm{HNC}\left(\mathrm{NH}_{2}\right)_{2}$
(d) Ammonia, $\mathrm{NH}_{3}$

Daniel Kim
Daniel Kim
Numerade Educator
01:38

Problem 41

The formula for rust can be represented by $\mathrm{Fe}_{2} \mathrm{O}_{3}$ How many moles of Fe are present in $24.6 \mathrm{~g}$ of the compound?

Dylan Miller
Dylan Miller
Numerade Educator
03:39

Problem 42

Tin(II) fluoride $\left(\mathrm{SnF}_{2}\right)$ is often added to toothpaste as an ingredient to prevent tooth decay. What is the mass of $\mathrm{F}$ in grams in $24.6 \mathrm{~g}$ of the compound?

Victoria Jordan
Victoria Jordan
Numerade Educator
08:01

Problem 43

What are the empirical formulas of the compounds with the following compositions?
(a) 2.1 percent $\mathrm{H}$, 65.3 percent $\mathrm{O}, 32.6$ percent $\mathrm{S} ;$
(b) 20.2 percent $\mathrm{Al},$ 79.8 percent Cl.

Victoria Jordan
Victoria Jordan
Numerade Educator
02:21

Problem 44

What are the empirical formulas of the compounds with the following compositions?
(a) 40.1 percent C, 6.6 percent $H, 53.3$ percent $O ;$
(b) 18.4 percent $C$, 21.5 percent $\mathrm{N}, 60.1$ percent $\mathrm{K}$

Crystal Wang
Crystal Wang
Numerade Educator
04:27

Problem 45

The anticaking agent added to Morton salt is calcium silicate, CaSiO $_{3}$. This compound can absorb up to 2.5 times its mass of water and still remain a free-flowing powder. Calculate the percent composition of $\mathrm{CaSiO}_{3}$.

Pam Owens
Pam Owens
Numerade Educator
01:03

Problem 46

What does the word "empirical" in empirical formula mean?

Daniel Kim
Daniel Kim
Numerade Educator
02:50

Problem 47

If we know the empirical formula of a compound, what additional information do we need to determine its molecular formula?

Benjamin Knudsen
Benjamin Knudsen
Numerade Educator
01:40

Problem 48

The empirical formula of a compound is CH. If the molar mass of this compound is about $78 \mathrm{~g},$ what is its molecular formula?

Daniel Kim
Daniel Kim
Numerade Educator
02:11

Problem 49

The molar mass of caffeine is $194.19 \mathrm{~g}$. Is the molecular formula of caffeine $\mathrm{C}_{4} \mathrm{H}_{5} \mathrm{~N}_{2} \mathrm{O}$ or $\mathrm{C}_{8} \mathrm{H}_{10} \mathrm{~N}_{4} \mathrm{O}_{2} ?$

Dylan Miller
Dylan Miller
Numerade Educator
05:06

Problem 50

Peroxyacylnitrate (PAN) is one of the components of smog. It is a compound of $\mathrm{C}, \mathrm{H}, \mathrm{N},$ and $\mathrm{O} .$ Determine the percent composition of oxygen and the empirical formula from the following percent composition by mass: 19.8 percent $\mathrm{C}, 2.50$ percent $\mathrm{H}, 11.6$ percent $\mathrm{N}$. What is its molecular formula given that its molar mass is about $120 \mathrm{~g}$ ?

Daniel Kim
Daniel Kim
Numerade Educator
02:33

Problem 51

Allicin is the compound responsible for the characteristic smell of garlic. An analysis of the compound gives the following percent composition by mass:
C: 44.4 percent, $\mathrm{H}: 6.21$ percent, $\mathrm{S}: 39.5$ percent, $\mathrm{O}:$ 9.86 percent. Calculate its empirical formula. What is its molecular formula given that its molar mass is about $162 \mathrm{~g}$ ?

Dylan Miller
Dylan Miller
Numerade Educator
07:39

Problem 52

Monosodium glutamate (MSG), a food-flavor enhancer, has been blamed for "Chinese restaurant syndrome," the symptoms of which are headaches and chest pains. MSG has the following composition by mass: 35.51 percent $\mathrm{C}, 4.77$ percent $\mathrm{H}$, 37.85 percent $\mathrm{O}, 8.29$ percent $\mathrm{N},$ and 13.60 percent Na. What is its molecular formula if its molar mass is about $169 \mathrm{~g}$ ?

Daniel Kim
Daniel Kim
Numerade Educator
00:52

Problem 53

Use the formation of water from hydrogen and oxygen to explain the following terms: chemical reaction, reactant, product.

Dylan Miller
Dylan Miller
Numerade Educator
01:24

Problem 54

What is the difference between a chemical reaction and a chemical equation?

Daniel Kim
Daniel Kim
Numerade Educator
01:07

Problem 55

Why must a chemical equation be balanced? What law is obeyed by a balanced chemical equation?

Daniel Kim
Daniel Kim
Numerade Educator
00:36

Problem 56

Write the symbols used to represent gas, liquid, solid, and the aqueous phase in chemical equations.

Daniel Kim
Daniel Kim
Numerade Educator
04:57

Problem 57

Balance the following equations using the method outlined in Section 3.7 : (a) $\mathrm{C}+\mathrm{O}_{2} \longrightarrow \mathrm{CO}$ (b) $\mathrm{CO}+\mathrm{O}_{2} \longrightarrow \mathrm{CO}_{2}$ (c) $\mathrm{H}_{2}+\mathrm{Br}_{2} \longrightarrow \mathrm{HBr}$ (d) $\mathrm{K}+\mathrm{H}_{2} \mathrm{O} \longrightarrow \mathrm{KOH}+\mathrm{H}_{2}$ (e) $\mathrm{Mg}+\mathrm{O}_{2} \longrightarrow \mathrm{MgO}$ (f) $\mathrm{O}_{3} \longrightarrow \mathrm{O}_{2}$ (g) $\mathrm{H}_{2} \mathrm{O}_{2} \longrightarrow \mathrm{H}_{2} \mathrm{O}+\mathrm{O}_{2}$ (h) $\mathrm{N}_{2}+\mathrm{H}_{2} \longrightarrow \mathrm{NH}_{3}$ (i) $\mathrm{Zn}+\mathrm{AgCl} \longrightarrow \mathrm{ZnCl}_{2}+\mathrm{Ag}$ (j) $\mathrm{S}_{8}+\mathrm{O}_{2} \longrightarrow \mathrm{SO}_{2}$ (k) $\mathrm{NaOH}+\mathrm{H}_{2} \mathrm{SO}_{4} \longrightarrow \mathrm{Na}_{2} \mathrm{SO}_{4}+\mathrm{H}_{2} \mathrm{O}$ (l) $\mathrm{Cl}_{2}+\mathrm{NaI} \longrightarrow \mathrm{NaCl}+\mathrm{I}_{2}$ $(\mathrm{m}) \mathrm{KOH}+\mathrm{H}_{3} \mathrm{PO}_{4} \longrightarrow \mathrm{K}_{3} \mathrm{PO}_{4}+\mathrm{H}_{2} \mathrm{O}$ (n) $\mathrm{CH}_{4}+\mathrm{Br}_{2} \longrightarrow \mathrm{CBr}_{4}+\mathrm{HBr}$

Shazia Naz
Shazia Naz
Numerade Educator
25:15

Problem 58

Balance the following equations using the method outlined in Section 3.7 .
(a) $\mathrm{N}_{2} \mathrm{O}_{5} \longrightarrow \mathrm{N}_{2} \mathrm{O}_{4}+\mathrm{O}_{2}$
(b) $\mathrm{KNO}_{3} \longrightarrow \mathrm{KNO}_{2}+\mathrm{O}_{2}$
(c) $\mathrm{NH}_{4} \mathrm{NO}_{3} \longrightarrow \mathrm{N}_{2} \mathrm{O}+\mathrm{H}_{2} \mathrm{O}$
(d) $\mathrm{NH}_{4} \mathrm{NO}_{2} \longrightarrow \mathrm{N}_{2}+\mathrm{H}_{2} \mathrm{O}$
(e) $\mathrm{NaHCO}_{3} \longrightarrow \mathrm{Na}_{2} \mathrm{CO}_{3}+\mathrm{H}_{2} \mathrm{O}+\mathrm{CO}_{2}$
(f) $\mathrm{P}_{4} \mathrm{O}_{10}+\mathrm{H}_{2} \mathrm{O} \longrightarrow \mathrm{H}_{3} \mathrm{PO}_{4}$
(g) $\mathrm{HCl}+\mathrm{CaCO}_{3} \longrightarrow \mathrm{CaCl}_{2}+\mathrm{H}_{2} \mathrm{O}+\mathrm{CO}_{2}$
(h) $\mathrm{Al}+\mathrm{H}_{2} \mathrm{SO}_{4} \longrightarrow \mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3}+\mathrm{H}_{2}$
(i) $\mathrm{CO}_{2}+\mathrm{KOH} \longrightarrow \mathrm{K}_{2} \mathrm{CO}_{3}+\mathrm{H}_{2} \mathrm{O}$
(j) $\mathrm{CH}_{4}+\mathrm{O}_{2} \longrightarrow \mathrm{CO}_{2}+\mathrm{H}_{2} \mathrm{O}$
(k) $\mathrm{Be}_{2} \mathrm{C}+\mathrm{H}_{2} \mathrm{O} \longrightarrow \mathrm{Be}(\mathrm{OH})_{2}+\mathrm{CH}_{4}$
(l) $\mathrm{Cu}+\mathrm{HNO}_{3} \longrightarrow \mathrm{Cu}\left(\mathrm{NO}_{3}\right)_{2}+\mathrm{NO}+\mathrm{H}_{2} \mathrm{O}$
$(\mathrm{m}) \mathrm{S}+\mathrm{HNO}_{3} \longrightarrow \mathrm{H}_{2} \mathrm{SO}_{4}+\mathrm{NO}_{2}+\mathrm{H}_{2} \mathrm{O}$
(n) $\mathrm{NH}_{3}+\mathrm{CuO} \longrightarrow \mathrm{Cu}+\mathrm{N}_{2}+\mathrm{H}_{2} \mathrm{O}$

Jennifer Hudspeth
Jennifer Hudspeth
Numerade Educator
01:09

Problem 59

On what law is stoichiometry based? Why is it essential to use balanced equations in solving stoichiometric problems?

Daniel Kim
Daniel Kim
Numerade Educator
03:36

Problem 60

Describe the steps involved in the mole method.

Shazia Naz
Shazia Naz
Numerade Educator
01:18

Problem 61

Which of the following equations best represents the reaction shown in the diagram?
(a) $8 \mathrm{~A}+4 \mathrm{~B} \longrightarrow \mathrm{C}+\mathrm{D}$
(b) $4 \mathrm{~A}+8 \mathrm{~B} \longrightarrow 4 \mathrm{C}+4 \mathrm{D}$
(c) $2 \mathrm{~A}+\mathrm{B} \longrightarrow \mathrm{C}+\mathrm{D}$
(d) $4 \mathrm{~A}+2 \mathrm{~B} \longrightarrow 4 \mathrm{C}+4 \mathrm{D}$
(e) $2 \mathrm{~A}+4 \mathrm{~B} \longrightarrow \mathrm{C}+\mathrm{D}$

Daniel Kim
Daniel Kim
Numerade Educator
01:07

Problem 62

Which of the following equations best represents the reaction shown in the diagram?
(a) $A+B \longrightarrow C+D$
(b) $6 \mathrm{~A}+4 \mathrm{~B} \longrightarrow \mathrm{C}+\mathrm{D}$
(c) $\mathrm{A}+2 \mathrm{~B} \longrightarrow 2 \mathrm{C}+\mathrm{D}$
(d) $3 \mathrm{~A}+2 \mathrm{~B} \longrightarrow 2 \mathrm{C}+\mathrm{D}$
(e) $3 \mathrm{~A}+2 \mathrm{~B} \longrightarrow 4 \mathrm{C}+2 \mathrm{D}$

Daniel Kim
Daniel Kim
Numerade Educator
01:13

Problem 63

Consider the combustion of carbon monoxide (CO) in oxygen gas:
$$2 \mathrm{CO}(g)+\mathrm{O}_{2}(g) \longrightarrow 2 \mathrm{CO}_{2}(g)$$Starting with 3.60 moles of $\mathrm{CO}$, calculate the number of moles of $\mathrm{CO}_{2}$ produced if there is enough oxygen gas to react with all of the CO.

Daniel Kim
Daniel Kim
Numerade Educator
01:22

Problem 64

Silicon tetrachloride $\left(\mathrm{SiCl}_{4}\right)$ can be prepared by heating $\mathrm{Si}$ in chlorine gas:$$\mathrm{Si}(s)+2 \mathrm{Cl}_{2}(g) \longrightarrow \mathrm{SiCl}_{4}(l)$$In one reaction, 0.507 mole of $\mathrm{SiCl}_{4}$ is produced. How many moles of molecular chlorine were used in the reaction?

Daniel Kim
Daniel Kim
Numerade Educator
03:48

Problem 65

Ammonia is a principal nitrogen fertilizer. It is prepared by the reaction between hydrogen and nitrogen.$$3 \mathrm{H}_{2}(g)+\mathrm{N}_{2}(g) \longrightarrow 2 \mathrm{NH}_{3}(g)$$In a particular reaction, 6.0 moles of $\mathrm{NH}_{3}$ were produced. How many moles of $\mathrm{H}_{2}$ and how many moles of $\mathrm{N}_{2}$ were reacted to produce this amount of $\mathrm{NH}_{3} ?$

Victoria Jordan
Victoria Jordan
Numerade Educator
02:49

Problem 66

Certain race cars use methanol (CH $_{3} \mathrm{OH}$, also called wood alcohol) as a fuel. The combustion of methanol occurs according to the following equation:$$2 \mathrm{CH}_{3} \mathrm{OH}(l)+3 \mathrm{O}_{2}(g) \longrightarrow 2 \mathrm{CO}_{2}(g)+4 \mathrm{H}_{2} \mathrm{O}(l)$$In a particular reaction, 9.8 moles of $\mathrm{CH}_{3} \mathrm{OH}$ are reacted with an excess of $\mathrm{O}_{2}$. Calculate the number of moles of $\mathrm{H}_{2} \mathrm{O}$ formed.

Victoria Jordan
Victoria Jordan
Numerade Educator
01:51

Problem 67

Calculate the mass in grams of iodine $\left(\mathrm{I}_{2}\right)$ that will react completely with $20.4 \mathrm{~g}$ of aluminum (Al) to form aluminum iodide (AlI $_{3}$ ).

Daniel Kim
Daniel Kim
Numerade Educator
01:30

Problem 68

How many grams of sulfur (S) are needed to react completely with $246 \mathrm{~g}$ of mercury (Hg) to form $\mathrm{HgS} ?$

Daniel Kim
Daniel Kim
Numerade Educator
02:33

Problem 69

The annual production of sulfur dioxide from burning coal and fossil fuels, auto exhaust, and other sources is about 26 million tons. The equation for the reaction is$$\mathrm{S}(s)+\mathrm{O}_{2}(g) \longrightarrow \mathrm{SO}_{2}(g)$$How much sulfur (in tons), present in the original materials, would result in that quantity of $\mathrm{SO}_{2} ?$

Daniel Kim
Daniel Kim
Numerade Educator
12:10

Problem 70

When baking soda (sodium bicarbonate or sodium hydrogen carbonate, $\mathrm{NaHCO}_{3}$ ) is heated, it releases carbon dioxide gas, which is responsible for the rising of cookies, donuts, and bread.
(a) Write a balanced equation for the decomposition of the compound (one of the products is $\mathrm{Na}_{2} \mathrm{CO}_{3}$ ).
(b) Calculate the mass of $\mathrm{NaHCO}_{3}$ required to produce $20.5 \mathrm{~g}$ of $\mathrm{CO}_{2}$

Shazia Naz
Shazia Naz
Numerade Educator
09:01

Problem 71

If chlorine bleach is mixed with other cleaning products containing ammonia, the toxic gas $\mathrm{NCl}_{3}(g)$ can form according to the equation $$3 \mathrm{NaClO}(a q)+\mathrm{NH}_{3}(a q) \longrightarrow 3 \mathrm{NaOH}(a q)+\mathrm{NCl}_{3}(g)$$
When $2.94 \mathrm{~g}$ of $\mathrm{NH}_{3}$ reacts with an excess of $\mathrm{NaClO}$ according to the preceding reaction, how many grams of $\mathrm{NCl}_{3}$ are formed?

Shazia Naz
Shazia Naz
Numerade Educator
03:43

Problem 72

Fermentation is a complex chemical process of wine making in which glucose is converted into ethanol and carbon dioxide:
$$\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6} \longrightarrow 2 \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}+2 \mathrm{CO}_{2}$$
Starting with $500.4 \mathrm{~g}$ of glucose, what is the maximum amount of ethanol in grams and in liters that can be obtained by this process? (Density of ethanol $=0.789 \mathrm{~g} / \mathrm{mL} .)$

Daniel Kim
Daniel Kim
Numerade Educator
02:10

Problem 73

Each copper(II) sulfate unit is associated with five water molecules in crystalline copper(II) sulfate pentahydrate $\left(\mathrm{CuSO}_{4} \cdot 5 \mathrm{H}_{2} \mathrm{O}\right)$. When this compound is heated in air above $100^{\circ} \mathrm{C},$ it loses the water $\mathrm{mol}-$ ecules and also its blue color:$$\mathrm{CuSO}_{4} \cdot 5 \mathrm{H}_{2} \mathrm{O} \longrightarrow \mathrm{CuSO}_{4}+5 \mathrm{H}_{2} \mathrm{O}$$ If $9.60 \mathrm{~g}$ of $\mathrm{CuSO}_{4}$ are left after heating $15.01 \mathrm{~g}$ of the blue compound, calculate the number of moles of $\mathrm{H}_{2} \mathrm{O}$ originally present in the compound.

Cheryl Glor
Cheryl Glor
Numerade Educator
01:26

Problem 74

Each copper(II) sulfate unit is associated with five water molecules in crystalline copper(II) sulfate pentahydrate $\left(\mathrm{CuSO}_{4} \cdot 5 \mathrm{H}_{2} \mathrm{O}\right)$. When this compound is heated in air above $100^{\circ} \mathrm{C}$, it loses the water molecules and also its blue color: $$4 \mathrm{Au}+8 \mathrm{KCN}+\mathrm{O}_{2}+2 \mathrm{H}_{2} \mathrm{O} \underset{4 \mathrm{KAu}(\mathrm{CN})_{2}+4 \mathrm{KOH}}{\longrightarrow}$$
What is the minimum amount of KCN in moles needed to extract $29.0 \mathrm{~g}$ (about an ounce) of gold?

Daniel Kim
Daniel Kim
Numerade Educator
02:18

Problem 74

For many years the recovery of gold-that is, the separation of gold from other materials-involved the use of potassium cyanide: $$4 \mathrm{Au}+8 \mathrm{KCN}+\mathrm{O}_{2}+2 \mathrm{H}_{2} \mathrm{O} \underset{4 \mathrm{KAu}(\mathrm{CN})_{2}+4 \mathrm{KOH}}{\longrightarrow}$$
What is the minimum amount of KCN in moles needed to extract $29.0 \mathrm{~g}$ (about an ounce) of gold?

Crystal Wang
Crystal Wang
Numerade Educator
03:02

Problem 75

Limestone $\left(\mathrm{CaCO}_{3}\right)$ is decomposed by heating to quicklime $(\mathrm{CaO})$ and carbon dioxide. Calculate how many grams of quicklime can be produced from $1.0 \mathrm{~kg}$ of limestone.

Daniel Kim
Daniel Kim
Numerade Educator
03:02

Problem 75

limestone $\left(\mathrm{CaCO}_{3}\right)$ is decomposed by heating to quicklime $(\mathrm{CaO})$ and carbon dioxide. Calculate how many grams of quicklime can be produced from $1.0 \mathrm{~kg}$ of limestone.

Daniel Kim
Daniel Kim
Numerade Educator
03:08

Problem 76

Nitrous oxide $\left(\mathrm{N}_{2} \mathrm{O}\right)$ is also called "laughing gas." It can be prepared by the thermal decomposition of ammonium nitrate $\left(\mathrm{NH}_{4} \mathrm{NO}_{3}\right)$. The other product is $\mathrm{H}_{2} \mathrm{O}$.
(a) Write a balanced equation for this reaction.
(b) How many grams of $\mathrm{N}_{2} \mathrm{O}$ are formed if 0.46 mole of $\mathrm{NH}_{4} \mathrm{NO}_{3}$ is used in the reaction?

Daniel Kim
Daniel Kim
Numerade Educator
03:23

Problem 77

The fertilizer ammonium sulfate $\left[\left(\mathrm{NH}_{4}\right)_{2} \mathrm{SO}_{4}\right]$ is prepared by the reaction between ammonia (NH $_{3}$ ) and sulfuric acid:$$2 \mathrm{NH}_{3}(g)+\mathrm{H}_{2} \mathrm{SO}_{4}(a q) \longrightarrow\left(\mathrm{NH}_{4}\right)_{2} \mathrm{SO}_{4}(a q)$$How many kilograms of $\mathrm{NH}_{3}$ are needed to produce $1.00 \times 10^{5} \mathrm{~kg}$ of $\left(\mathrm{NH}_{4}\right)_{2} \mathrm{SO}_{4} ?$

Daniel Kim
Daniel Kim
Numerade Educator
03:23

Problem 78

A common laboratory preparation of oxygen gas is the thermal decomposition of potassium chlorate $\left(\mathrm{KClO}_{3}\right)$. Assuming complete decomposition, calculate the number of grams of $\mathrm{O}_{2}$ gas that can be obtained from $46.0 \mathrm{~g}$ of $\mathrm{KClO}_{3}$. (The products are $\mathrm{KCl}$ and $\left.\mathrm{O}_{2} .\right)$

Daniel Kim
Daniel Kim
Numerade Educator
02:12

Problem 79

Define limiting reactant and excess reactant. What is the significance of the limiting reactant in predicting the amount of the product obtained in a reaction? Can there be a limiting reactant if only one reactant is present?

Daniel Kim
Daniel Kim
Numerade Educator
01:20

Problem 80

Give an everyday example that illustrates the limiting reactant concept.

Daniel Kim
Daniel Kim
Numerade Educator
View

Problem 81

Consider the reaction$$2 \mathrm{~A}+\mathrm{B} \longrightarrow \mathrm{C}$$
(a) In the diagram here that represents the reaction, which reactant, A or $\mathrm{B}$, is the limiting reactant?
(b) Assuming complete reaction, draw a molecular-model representation of the amounts of reactants and products left after the reaction. The atomic arrangement in $\mathrm{C}$ is $\mathrm{ABA}$.

Susan Hallstrom
Susan Hallstrom
Numerade Educator
02:31

Problem 82

Consider the reaction
$$\mathrm{N}_{2}+3 \mathrm{H}_{2} \longrightarrow 2 \mathrm{NH}_{3}$$Assuming each model represents 1 mole of the substance, show the number of moles of the product and the excess reactant left after the complete reaction.

Nicole Krahulik
Nicole Krahulik
Numerade Educator
View

Problem 83

Nitric oxide (NO) reacts with oxygen gas to form nitrogen dioxide $\left(\mathrm{NO}_{2}\right)$, a dark-brown gas:
$$2 \mathrm{NO}(g)+\mathrm{O}_{2}(g) \longrightarrow 2 \mathrm{NO}_{2}(g)$$ In one experiment 0.886 mole of NO is mixed with 0.503 mole of $\mathrm{O}_{2}$. Calculate which of the two reactants is the limiting reactant. Calculate also the number of moles of $\mathrm{NO}_{2}$ produced.

Susan Hallstrom
Susan Hallstrom
Numerade Educator
View

Problem 84

Ammonia and sulfuric acid react to form ammonium sulfate.
(a) Write an equation for the reaction.
(b) Determine the starting mass (in grams) of each reactant if $20.3 \mathrm{~g}$ of ammonium sulfate is produced and $5.89 \mathrm{~g}$ of sulfuric acid remains unreacted.

Susan Hallstrom
Susan Hallstrom
Numerade Educator
View

Problem 85

Propane $\left(\mathrm{C}_{3} \mathrm{H}_{8}\right)$ is a component of natural gas and is used in domestic cooking and heating.
(a) Balance the following equation representing the combustion of propane in air.$$\mathrm{C}_{3} \mathrm{H}_{8}+\mathrm{O}_{2} \longrightarrow \mathrm{CO}_{2}+\mathrm{H}_{2} \mathrm{O}$$
(b) How many grams of carbon dioxide can be produced by burning 3.65 moles of propane? Assume that oxygen is the excess reactant in this reaction.

Susan Hallstrom
Susan Hallstrom
Numerade Educator
04:36

Problem 86

Consider the reaction $$\mathrm{MnO}_{2}+4 \mathrm{HCl} \longrightarrow \mathrm{MnCl}_{2}+\mathrm{Cl}_{2}+2 \mathrm{H}_{2} \mathrm{O} $$If 0.86 mole of $\mathrm{MnO}_{2}$ and $48.2 \mathrm{~g}$ of $\mathrm{HCl}$ react, which reactant will be used up first? How many grams of $\mathrm{Cl}_{2}$ will be produced?

Daniel Kim
Daniel Kim
Numerade Educator
00:47

Problem 87

Why is the theoretical yield of a reaction determined only by the amount of the limiting reactant?

Daniel Kim
Daniel Kim
Numerade Educator
01:17

Problem 88

Why is the actual yield of a reaction almost always smaller than the theoretical yield?

Daniel Kim
Daniel Kim
Numerade Educator
12:23

Problem 89

Hydrogen fluoride is used in the manufacture of Freons (which destroy ozone in the stratosphere) and in the production of aluminum metal. It is prepared by the reaction$$\mathrm{CaF}_{2}+\mathrm{H}_{2} \mathrm{SO}_{4} \longrightarrow \mathrm{CaSO}_{4}+2 \mathrm{HF}$$
In one process, $6.00 \mathrm{~kg}$ of $\mathrm{CaF}_{2}$ are treated with an excess of $\mathrm{H}_{2} \mathrm{SO}_{4}$ and yield $2.86 \mathrm{~kg}$ of $\mathrm{HF}$. Calculate the percent yield of HF.

Shazia Naz
Shazia Naz
Numerade Educator
13:46

Problem 90

Nitroglycerin $\left(\mathrm{C}_{3} \mathrm{H}_{5} \mathrm{~N}_{3} \mathrm{O}_{9}\right)$ is a powerful explosive. Its decomposition may be represented by$$4 \mathrm{C}_{3} \mathrm{H}_{5} \mathrm{~N}_{3} \mathrm{O}_{9} \longrightarrow 6 \mathrm{~N}_{2}+12 \mathrm{CO}_{2}+10 \mathrm{H}_{2} \mathrm{O}+\mathrm{O}_{2}
$$This reaction generates a large amount of heat and many gaseous products. It is the sudden formation of these gases, together with their rapid expansion, that produces the explosion. (a) What is the maximum amount of $\mathrm{O}_{2}$ in grams that can be obtained from $2.00 \times 10^{2} \mathrm{~g}$ of nitroglycerin? (b) Calculate the percent yield in this reaction if the amount of $\mathrm{O}_{2}$ generated is found to be $6.55 \mathrm{~g}$.

Shazia Naz
Shazia Naz
Numerade Educator
02:47

Problem 91

Titanium(IV) oxide $\left(\mathrm{TiO}_{2}\right)$ is a white substance produced by the action of sulfuric acid on the mineral ilmenite $\left(\mathrm{FeTiO}_{3}\right)$
$$\mathrm{FeTiO}_{3}+\mathrm{H}_{2} \mathrm{SO}_{4} \longrightarrow\mathrm{TiO}_{2}+\mathrm{FeSO}_{4}+\mathrm{H}_{2} \mathrm{O}$$Its opaque and nontoxic properties make it suitable as a pigment in plastics and paints. In one process, $8.00 \times 10^{3} \mathrm{~kg}$ of $\mathrm{FeTiO}_{3}$ yielded $3.67 \times 10^{3} \mathrm{~kg}$ of
$\mathrm{TiO}_{2} .$ What is the percent yield of the reaction?

Crystal Wang
Crystal Wang
Numerade Educator
12:22

Problem 92

Ethylene $\left(\mathrm{C}_{2} \mathrm{H}_{4}\right),$ an important industrial organic chemical, can be prepared by heating hexane $\left(\mathrm{C}_{6} \mathrm{H}_{14}\right)$ at $800^{\circ} \mathrm{C}:$$$\mathrm{C}_{6} \mathrm{H}_{14} \longrightarrow \mathrm{C}_{2} \mathrm{H}_{4}+\text { other products }$$
If the yield of ethylene production is 42.5 percent, what mass of hexane must be reacted to produce $481 \mathrm{~g}$ of ethylene?

Shazia Naz
Shazia Naz
Numerade Educator
15:29

Problem 93

When heated, lithium reacts with nitrogen to form lithium nitride:
$$6 \mathrm{Li}(s)+\mathrm{N}_{2}(g) \longrightarrow 2 \mathrm{Li}_{3} \mathrm{~N}(s)$$What is the theoretical yield of $\mathrm{Li}_{3} \mathrm{~N}$ in grams when $12.3 \mathrm{~g}$ of $\mathrm{Li}$ are heated with $33.6 \mathrm{~g}$ of $\mathrm{N}_{2} ?$ If the actual yield of $\mathrm{Li}_{3} \mathrm{~N}$ is $5.89 \mathrm{~g},$ what is the percent yield of the reaction?

Shazia Naz
Shazia Naz
Numerade Educator
06:18

Problem 94

Disulfide dichloride $\left(\mathrm{S}_{2} \mathrm{Cl}_{2}\right)$ is used in the vulcanization of rubber, a process that prevents the slippage of rubber molecules past one another when stretched. It is prepared by heating sulfur in an atmosphere of chlorine:$$\mathrm{S}_{8}(l)+4 \mathrm{Cl}_{2}(g) \longrightarrow 4 \mathrm{~S}_{2} \mathrm{Cl}_{2}(l)$$What is the theoretical yield of $\mathrm{S}_{2} \mathrm{Cl}_{2}$ in grams when $4.06 \mathrm{~g}$ of $\mathrm{S}_{8}$ are heated with $6.24 \mathrm{~g}$ of $\mathrm{Cl}_{2} ?$ If the actual yield of $\mathrm{S}_{2} \mathrm{Cl}_{2}$ is $6.55 \mathrm{~g}$, what is the percent yield?

Daniel Kim
Daniel Kim
Numerade Educator
View

Problem 95

Gallium is an important element in the production of semiconductors. The average atomic mass of $_{69}^{31}$ Ga $(68.9256$ amu$)$ and ${ }_{31}^{71} \mathrm{Ga}(70.9247 amu $)$ is 69.72 amu. Calculate the natural abundances of the
gallium isotopes.

Susan Hallstrom
Susan Hallstrom
Numerade Educator
03:10

Problem 96

Rubidium is used in "atomic clocks" and other precise electronic equipment. The average atomic mass of ${ }_{37}^{85} \mathrm{Rb}(84.912 \mathrm{amu})$ and ${ }_{37}^{87} \mathrm{Rb}(86.909 \mathrm{amu})$ is
85.47 amu. Calculate the natural abundances of the rubidium isotopes.

Shazia Naz
Shazia Naz
Numerade Educator
02:42

Problem 97

This diagram represents the products $\left(\mathrm{CO}_{2}\right.$ and $\mathrm{H}_{2} \mathrm{O}$ ) formed after the combustion of a hydrocarbon (a compound containing only $\mathrm{C}$ and $\mathrm{H}$ atoms). Write an equation for the reaction.

Cheryl Glor
Cheryl Glor
Numerade Educator
View

Problem 98

Consider the reaction of hydrogen gas with oxygen gas:
$$
2 \mathrm{H}_{2}(g)+\mathrm{O}_{2}(g) \longrightarrow 2 \mathrm{H}_{2} \mathrm{O}(g)
$$

Susan Hallstrom
Susan Hallstrom
Numerade Educator
12:36

Problem 99

Ethylene reacts with hydrogen chloride to form ethyl chloride:
$$\mathrm{C}_{2} \mathrm{H}_{4}(g)+\mathrm{HCl}(g) \longrightarrow \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{Cl}(g)
$$Calculate the mass of ethyl chloride formed if $4.66 \mathrm{~g}$ of ethylene reacts with an 89.4 percent yield.

Shazia Naz
Shazia Naz
Numerade Educator
17:46

Problem 100

Write balanced equations for the following reactions described in words.
(a) Pentane burns in oxygen to form carbon dioxide and water.
(b) Sodium bicarbonate reacts with hydrochloric acid to form carbon dioxide, sodium chloride, and water.
(c) When heated in an atmosphere of nitrogen, lithium forms lithium nitride.
(d) Phosphorus trichloride reacts with water to form phosphorus acid and hydrogen chloride.
(e) Copper(II) oxide heated with ammonia will form copper, nitrogen gas, and water.

Shazia Naz
Shazia Naz
Numerade Educator
07:21

Problem 101

Industrially, nitric acid is produced by the Ostwald process represented by the following equations:
$$
\begin{aligned}
4 \mathrm{NH}_{3}(g)+5 \mathrm{O}_{2}(g) & \longrightarrow 4 \mathrm{NO}(g)+6 \mathrm{H}_{2} \mathrm{O}(l) \\
2 \mathrm{NO}(g)+\mathrm{O}_{2}(g) & \longrightarrow 2 \mathrm{NO}_{2}(g) \\2 \mathrm{NO}_{2}(g)+\mathrm{H}_{2} \mathrm{O}(l) & \longrightarrow \mathrm{HNO}_{3}(a q)+\mathrm{HNO}_{2}(a q)
\end{aligned}$$What mass of $\mathrm{NH}_{3}$ (in grams) must be used to produce 1.00 ton of $\mathrm{HNO}_{3}$ by the above procedure, assuming an 80 percent yield in each step? ( 1 ton = $2000 \mathrm{lb} ; 1 \mathrm{lb}=453.6 \mathrm{~g} .)$

Isaac Huidobro
Isaac Huidobro
Numerade Educator
View

Problem 102

A sample of a compound of $\mathrm{Cl}$ and $\mathrm{O}$ reacts with an excess of $\mathrm{H}_{2}$ to give $0.233 \mathrm{~g}$ of $\mathrm{HCl}$ and $0.403 \mathrm{~g}$ of $\mathrm{H}_{2} \mathrm{O} .$ Determine the empirical formula of the $\mathrm{com}-$ pound.

Susan Hallstrom
Susan Hallstrom
Numerade Educator
09:17

Problem 103

How many grams of $\mathrm{H}_{2} \mathrm{O}$ will be produced from the complete combustion of $26.7 \mathrm{~g}$ of butane $\left(\mathrm{C}_{4} \mathrm{H}_{10}\right) ?$

Shazia Naz
Shazia Naz
Numerade Educator
11:08

Problem 104

A 26.2-g sample of oxalic acid hydrate $\left(\mathrm{H}_{2} \mathrm{C}_{2} \mathrm{O}_{4}\right.$. $2 \mathrm{H}_{2} \mathrm{O}$ ) is heated in an oven until all the water is driven off. How much of the anhydrous acid is left?

Shazia Naz
Shazia Naz
Numerade Educator
02:33

Problem 105

The atomic mass of element X is 33.42 amu. A 27.22-g sample of X combines with $84.10 \mathrm{~g}$ of another element Y to form a compound XY. Calculate the atomic mass of Y.

Daniel Kim
Daniel Kim
Numerade Educator
01:17

Problem 106

How many moles of $\mathrm{O}$ are needed to combine with 0.212 mole of $\mathrm{C}$ to form
(a) $\mathrm{CO}$ and
(b) $\mathrm{CO}_{2}$ ?

Daniel Kim
Daniel Kim
Numerade Educator
05:46

Problem 107

A research chemist used a mass spectrometer to study the two isotopes of an element. Over time, she recorded a number of mass spectra of these isotopes. On analysis, she noticed that the ratio of the taller peak (the more abundant isotope) to the shorter peak (the less abundant isotope) gradually increased with time. Assuming that the mass spectrometer was functioning normally, what do you think was causing this change?

Shazia Naz
Shazia Naz
Numerade Educator
06:07

Problem 108

The aluminum sulfate hydrate $\left[\mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3} \cdot x \mathrm{H}_{2} \mathrm{O}\right]$contains 8.10 percent $\mathrm{Al}$ by mass. Calculate $x-$ that is, the number of water molecules associated with each $\mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3}$ unit.

Daniel Kim
Daniel Kim
Numerade Educator
08:29

Problem 109

The explosive nitroglycerin $\left(\mathrm{C}_{3} \mathrm{H}_{5} \mathrm{~N}_{3} \mathrm{O}_{9}\right)$ has also been used as a drug to treat heart patients to relieve pain (angina pectoris). We now know that nitroglycerin produces nitric oxide (NO), which causes muscles to relax and allows the arteries to dilate. If each nitroglycerin molecule releases one NO per atom of $\mathrm{N},$ calculate the mass percent of NO available from nitroglycerin.

Shazia Naz
Shazia Naz
Numerade Educator
06:12

Problem 110

The carat is the unit of mass used by jewelers. One carat is exactly $200 \mathrm{mg}$. How many carbon atoms are present in a 24 -carat diamond?

Shazia Naz
Shazia Naz
Numerade Educator
02:28

Problem 111

An iron bar weighed $664 \mathrm{~g}$. After the bar had been standing in moist air for a month, exactly one-eighth of the iron turned to rust $\left(\mathrm{Fe}_{2} \mathrm{O}_{3}\right) .$ Calculate the final mass of the iron bar and rust.

Ronald Prasad
Ronald Prasad
Numerade Educator
02:37

Problem 112

A certain metal oxide has the formula $\mathrm{MO},$ where $\mathrm{M}$ denotes the metal. A $39.46-\mathrm{g}$ sample of the compound is strongly heated in an atmosphere of hydrogen to remove oxygen as water molecules. At the end, $31.70 \mathrm{~g}$ of the metal is left over. If $\mathrm{O}$ has an atomic mass of 16.00 amu, calculate the atomic mass of $\mathrm{M}$ and identify the element.

Daniel Kim
Daniel Kim
Numerade Educator
07:49

Problem 113

An impure sample of zinc (Zn) is treated with an excess of sulfuric acid $\left(\mathrm{H}_{2} \mathrm{SO}_{4}\right)$ to form zinc sulfate $\left(\mathrm{ZnSO}_{4}\right)$ and molecular hydrogen $\left(\mathrm{H}_{2}\right) .$
(a) Write a balanced equation for the reaction.
(b) If $0.0764 \mathrm{~g}$ of $\mathrm{H}_{2}$ is obtained from $3.86 \mathrm{~g}$ of the sample, calculate the percent purity of the sample.
(c) What assumptions must you make in (b)?

Shazia Naz
Shazia Naz
Numerade Educator
04:00

Problem 114

One of the reactions that occurs in a blast furnace, where iron ore is converted to cast iron, is$$\mathrm{Fe}_{2} \mathrm{O}_{3}+3 \mathrm{CO} \longrightarrow 2 \mathrm{Fe}+3 \mathrm{CO}_{2}$$Suppose that $1.64 \times 10^{3} \mathrm{~kg}$ of $\mathrm{Fe}$ are obtained from a $2.62 \times 10^{3} \mathrm{~kg}$ sample of $\mathrm{Fe}_{2} \mathrm{O}_{3}$. Assuming that the reaction goes to completion, what is the percent purity of $\mathrm{Fe}_{2} \mathrm{O}_{3}$ in the original sample?

Cheryl Glor
Cheryl Glor
Numerade Educator
13:38

Problem 115

Carbon dioxide $\left(\mathrm{CO}_{2}\right)$ is the gas that is mainly responsible for global warming (the greenhouse effect). The burning of fossil fuels is a major cause of the increased concentration of $\mathrm{CO}_{2}$ in the atmosphere. Carbon dioxide is also the end product of metabolism (see Example 3.13 ). Using glucose as an example of food, calculate the annual human production of $\mathrm{CO}_{2}$ in grams, assuming that each person consumes $5.0 \times 10^{2} \mathrm{~g}$ of glucose per day. The world's population is 7.2 billion, and there are 365 days in a year.

Shazia Naz
Shazia Naz
Numerade Educator
04:40

Problem 116

Carbohydrates are compounds containing carbon, hydrogen, and oxygen in which the hydrogen to oxygen ratio is $2: 1 .$ A certain carbohydrate contains 40.0 percent carbon by mass. Calculate the empirical and molecular formulas of the compound if the approximate molar mass is $178 \mathrm{~g}$

Daniel Kim
Daniel Kim
Numerade Educator
02:56

Problem 117

Which of the following has the greater mass: $0.72 \mathrm{~g}$ of $\mathrm{O}_{2}$ or 0.0011 mole of chlorophyll $\left(\mathrm{C}_{55} \mathrm{H}_{72} \mathrm{MgN}_{4} \mathrm{O}_{5}\right) ?$

Daniel Kim
Daniel Kim
Numerade Educator
02:16

Problem 118

Analysis of a metal chloride $\mathrm{XCl}_{3}$ show that it contains 67.2 percent $\mathrm{Cl}$ by mass. Calculate the molar mass of $\mathrm{X}$ and identify the element.

Narayan Hari
Narayan Hari
Numerade Educator
View

Problem 119

Hemoglobin $\left(\mathrm{C}_{2952} \mathrm{H}_{4664} \mathrm{~N}_{812} \mathrm{O}_{832} \mathrm{~S}_{8} \mathrm{Fe}_{4}\right)$ is the oxy-
gen carrier in blood.
(a) Calculate its molar mass.
(b) An average adult has about $5.0 \mathrm{~L}$ of blood. Every milliliter of blood has approximately $5.0 \times 10^{9}$ erythrocytes, or red blood cells, and every red blood cell has about $2.8 \times 10^{8}$ hemoglobin molecules. Calculate the mass of hemoglobin molecules in grams in an average adult.

Susan Hallstrom
Susan Hallstrom
Numerade Educator
02:03

Problem 120

Myoglobin stores oxygen for metabolic processes in muscle. Chemical analysis shows that it contains 0.34 percent Fe by mass. What is the molar mass of myoglobin? (There is one Fe atom per molecule.)

Daniel Kim
Daniel Kim
Numerade Educator
View

Problem 121

Calculate the number of cations and anions in each of the following compounds:
(a) $0.764 \mathrm{~g}$ of CsI,
(b) $72.8 \mathrm{~g}$ of $\mathrm{K}_{2} \mathrm{Cr}_{2}\mathrm{O}_{7}$
(c) $6.54 \mathrm{~g}$ of$\mathrm{Hg}_{2}\left(\mathrm{NO}_{3}\right)_{2}$

Tom Comey
Tom Comey
Numerade Educator
17:57

Problem 122

A mixture of $\mathrm{NaBr}$ and $\mathrm{Na}_{2} \mathrm{SO}_{4}$ contains 29.96 percent Na by mass. Calculate the percent by mass of each compound in the mixture.

Shazia Naz
Shazia Naz
Numerade Educator
06:43

Problem 123

Consider the reaction $3 \mathrm{~A}+2 \mathrm{~B} \rightarrow 3 \mathrm{C}$. A student mixed 4.0 moles of $\mathrm{A}$ with 4.0 moles of $\mathrm{B}$ and obtained 2.8 moles of $\mathrm{C}$. What is the percent yield of the reaction?

Shazia Naz
Shazia Naz
Numerade Educator
02:01

Problem 124

Balance the equation shown here in molecular models.

Shazia Naz
Shazia Naz
Numerade Educator
05:39

Problem 125

Aspirin or acetyl salicylic acid is synthesized by reacting salicylic acid with aceticanhydride:$$\mathrm{C}_{7}\mathrm{H}_{6}\mathrm{O}_{3}+\mathrm{C}_{4} \mathrm{H}_{6} \mathrm{O}_{3} \quad \longrightarrow \mathrm{C}_{9} \mathrm{H}_{8}\mathrm{O}_{4}+\mathrm{C}_{2} \mathrm{H}_{4} \mathrm{O}_{2}$$
(a) How much salicylic acid is required to produce $0.400 \mathrm{~g}$ of aspirin (about the content in a tablet), assuming acetic anhydride is present in excess?
(b) Calculate the amount of salicylic acid needed if only 74.9 percent of salicylic acid is converted to aspirin.
(c) In one experiment, $9.26 \mathrm{~g}$ of salicylic acid is reacted with $8.54 \mathrm{~g}$ of acetic anhydride. Calculate the theoretical yield of aspirin and the percent yield if only $10.9 \mathrm{~g}$ of aspirin is produced.

Katherine Pohly
Katherine Pohly
Numerade Educator
03:17

Problem 126

Calculate the percent composition by mass of all the elements in calcium phosphate $\left[\mathrm{Ca}_{3}\left(\mathrm{PO}_{4}\right)_{2}\right],$ a major component of bone.

Daniel Kim
Daniel Kim
Numerade Educator
06:58

Problem 127

Lysine, an essential amino acid in the human body, contains $\mathrm{C}, \mathrm{H}, \mathrm{O},$ and $\mathrm{N} .$ In one experiment, the complete combustion of $2.175 \mathrm{~g}$ of lysine gave $3.94 \mathrm{~g}$ $\mathrm{CO}_{2}$ and $1.89 \mathrm{~g} \mathrm{H}_{2} \mathrm{O} .$ In a separate experiment, $1.873 \mathrm{~g}$ of lysine gave $0.436 \mathrm{~g} \mathrm{NH}_{3}$.
(a) Calculate the empirical formula of lysine.
(b) The approximate molar mass of lysine is $150 \mathrm{~g}$. What is the molecular formula of the compound?

Adriano Chikande
Adriano Chikande
Numerade Educator
02:32

Problem 128

Does $1 \mathrm{~g}$ of hydrogen molecules contain as many $\mathrm{H}$ atoms as $1 \mathrm{~g}$ of hydrogen atoms?

Daniel Kim
Daniel Kim
Numerade Educator
01:28

Problem 129

Avogadro's number has sometimes been described as a conversion factor between atomic mass units and grams. Use the fluorine atom ( 19.00 amu) as an example to show the relation between the atomic mass unit and the gram.

Daniel Kim
Daniel Kim
Numerade Educator
02:37

Problem 130

The natural abundances of the two stable isotopes of hydrogen (hydrogen and deuterium) are ${ }_{1}^{1} \mathrm{H}$ : 99.985 percent and ${ }_{1}^{2} \mathrm{H}: 0.015$ percent. Assume that water exists as either $\mathrm{H}_{2} \mathrm{O}$ or $\mathrm{D}_{2} \mathrm{O} .$ Calculate the number of $\mathrm{D}_{2} \mathrm{O}$ molecules in exactly $400 \mathrm{~mL}$ of water. (Density $=1.00 \mathrm{~g} / \mathrm{mL} .)$

Shazia Naz
Shazia Naz
Numerade Educator
View

Problem 131

A compound containing only $\mathrm{C}, \mathrm{H},$ and $\mathrm{Cl}$ was examined in a mass spectrometer. The highest mass peak seen corresponds to an ion mass of 52 amu. The most abundant mass peak seen corresponds to an ion mass of 50 amu and is about three times as intense as the peak at 52 amu. Deduce a reasonable molecular formula for the compound and explain the positions and intensities of the mass peaks mentioned.

Susan Hallstrom
Susan Hallstrom
Numerade Educator
02:14

Problem 132

In the formation of carbon monoxide, CO, it is found that $2.445 \mathrm{~g}$ of carbon combine with $3.257 \mathrm{~g}$ of oxygen. What is the atomic mass of oxygen if the atomic mass of carbon is 12.01 amu?

Daniel Kim
Daniel Kim
Numerade Educator
01:33

Problem 133

What mole ratio of molecular chlorine $\left(\mathrm{Cl}_{2}\right)$ to molecular oxygen $\left(\mathrm{O}_{2}\right)$ would result from the breakup of the compound $\mathrm{Cl}_{2} \mathrm{O}_{7}$ into its constituent elements?

Shazia Naz
Shazia Naz
Numerade Educator
04:24

Problem 134

Which of the following substances contains the greatest mass of chlorine?
(a) $5.0 \mathrm{~g} \mathrm{Cl}_{2},$
(b) $60.0 \mathrm{~g}\mathrm{NaClO}_{3}$
(c) $0.10 \mathrm{~mol} \mathrm{KCl}$,
(d) $30.0 \mathrm{~g} \mathrm{MgCl}_{2}$,
(e) $0.50 \mathrm{~mol} \mathrm{Cl}_{2}$.

Crystal Wang
Crystal Wang
Numerade Educator
05:01

Problem 135

A compound made up of $\mathrm{C}, \mathrm{H},$ and $\mathrm{Cl}$ contains 55.0 percent $\mathrm{Cl}$ by mass. If $9.00 \mathrm{~g}$ of the compound contain $4.19 \times 10^{23} \mathrm{H}$ atoms, what is the empirical formula of the compound?

Daniel Kim
Daniel Kim
Numerade Educator
04:41

Problem 136

Platinum forms two different compounds with chlorine. One contains 26.7 percent $\mathrm{Cl}$ by mass, and the other contains 42.1 percent Cl by mass. Determine the empirical formulas of the two compounds.

Daniel Kim
Daniel Kim
Numerade Educator
13:13

Problem 137

The following reaction is stoichiometric as written$$\mathrm{C}_{4} \mathrm{H}_{9} \mathrm{Cl}+\mathrm{NaOC}_{2}\mathrm{H}_{5} \longrightarrow \mathrm{C}_{4}\mathrm{H}_{8}+\mathrm{C}_{2} \mathrm{H}_{5}\mathrm{OH}+\mathrm{NaCl}$$ but it is often carried out with an excess of $\mathrm{NaOC}_{2} \mathrm{H}_{5}$ to react with any water present in the reaction mixture that might reduce the yield. If the reaction shown was carried out with $6.83 \mathrm{~g}$ of $\mathrm{C}_{4} \mathrm{H}_{9} \mathrm{Cl}$, how many grams of $\mathrm{NaOC}_{2} \mathrm{H}_{5}$ would be needed to have a 50 percent molar excess of that reactant?

Shazia Naz
Shazia Naz
Numerade Educator
07:30

Problem 138

Compounds containing ruthenium(II) and bipyridine, $\mathrm{C}_{10} \mathrm{H}_{8} \mathrm{~N}_{2},$ have received considerable interest because of their role in systems that convert solar energy to electricity. The compound $\left[\mathrm{Ru}\left(\mathrm{C}_{10} \mathrm{H}_{8} \mathrm{~N}_{2}\right)_{3}\right]$$\mathrm{Cl}_{2}$ is synthesized by reacting $\mathrm{RuCl}_{3} \cdot 3 \mathrm{H}_{2} \mathrm{O}(s)$ with
three molar equivalents of $\mathrm{C}_{10} \mathrm{H}_{8} \mathrm{~N}_{2}(s),$ along with an excess of triethylamine, $\mathrm{N}\left(\mathrm{C}_{2} \mathrm{H}_{5}\right)_{3}(l),$ to convert ruthenium(III) to ruthenium(II). The density of triethylamine is $0.73 \mathrm{~g} / \mathrm{mL},$ and typically eight molar equivalents are used in the synthesis.
(a) Assuming that you start with $6.5 \mathrm{~g}$ of $\mathrm{RuCl}_{3} \cdot 3 \mathrm{H}_{2} \mathrm{O},$ how many grams of $\mathrm{C}_{10} \mathrm{H}_{8} \mathrm{~N}_{2}$ and what volume of $\mathrm{N}\left(\mathrm{C}_{2} \mathrm{H}_{5}\right)_{3}$
should be used in the reaction?
(b) Given that the yield of this reaction is 91 percent, how many grams of $\left[\mathrm{Ru}\left(\mathrm{C}_{10} \mathrm{H}_{8} \mathrm{~N}_{2}\right)_{3}\right] \mathrm{Cl}_{2}$ will be obtained?

Cheryl Glor
Cheryl Glor
Numerade Educator
04:12

Problem 139

Heating $2.40 \mathrm{~g}$ of the oxide of metal $\mathrm{X}$ (molar mass of $\mathrm{X}=55.9 \mathrm{~g} / \mathrm{mol}$ ) in carbon monoxide (CO) yields the pure metal and carbon dioxide. The mass of the metal product is $1.68 \mathrm{~g}$. From the data given, show that the simplest formula of the oxide is $\mathrm{X}_{2} \mathrm{O}_{3}$ and write a balanced equation for the reaction.

Daniel Kim
Daniel Kim
Numerade Educator
14:45

Problem 140

A compound X contains 63.3 percent manganese (Mn) and 36.7 percent O by mass. When $X$ is heated, oxygen gas is evolved and a new compound Y containing 72.0 percent $\mathrm{Mn}$ and 28.0 percent $\mathrm{O}$ is formed.
(a) Determine the empirical formulas of X and Y.
(b) Write a balanced equation for the conversion of $\mathrm{X}$ to $\mathrm{Y}$

Shazia Naz
Shazia Naz
Numerade Educator
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Problem 141

The formula of a hydrate of barium chloride is $\mathrm{BaCl}_{2} \cdot x \mathrm{H}_{2} \mathrm{O} .$ If $1.936 \mathrm{~g}$ of the compound gives$1.864 \mathrm{~g}$ of anhydrous $\mathrm{BaSO}_{4}$ upon treatment with sulfuric acid, calculate the value of $x$.

Susan Hallstrom
Susan Hallstrom
Numerade Educator
11:26

Problem 142

It is estimated that the day Mt. St. Helens erupted (May 18,1980 ), about $4.0 \times 10^{5}$ tons of $\mathrm{SO}_{2}$ were released into the atmosphere. If all the $\mathrm{SO}_{2}$ were eventually converted to sulfuric acid, how many tons of $\mathrm{H}_{2} \mathrm{SO}_{4}$ were produced?

Shazia Naz
Shazia Naz
Numerade Educator
15:32

Problem 143

Cysteine, shown here, is one of the 20 amino acids found in proteins in humans. Write the molecular formula and calculate its percent composition by mass.

Shazia Naz
Shazia Naz
Numerade Educator
13:47

Problem 144

Isoflurane, shown here, is a common inhalation anesthetic. Write its molecular formula and calculate its percent composition by mass.

Shazia Naz
Shazia Naz
Numerade Educator
03:53

Problem 145

A mixture of $\mathrm{CuSO}_{4} \cdot 5 \mathrm{H}_{2} \mathrm{O}$ and $\mathrm{MgSO}_{4} \cdot 7 \mathrm{H}_{2} \mathrm{O}$ is
heated until all the water is lost. If $5.020 \mathrm{~g}$ of the mixture gives $2.988 \mathrm{~g}$ of the anhydrous salts, what is the percent by mass of $\mathrm{CuSO}_{4} \cdot 5 \mathrm{H}_{2} \mathrm{O}$ in the mixture?

Shazia Naz
Shazia Naz
Numerade Educator
04:10

Problem 146

When $0.273 \mathrm{~g}$ of $\mathrm{Mg}$ is heated strongly in a nitrogen $\left(\mathrm{N}_{2}\right)$ atmosphere, a chemical reaction occurs. The product of the reaction weighs 0.378 g. Calculate the empirical formula of the compound containing $\mathrm{Mg}$ and $\mathrm{N}$. Name the compound.

Daniel Kim
Daniel Kim
Numerade Educator
10:07

Problem 147

A mixture of methane $\left(\mathrm{CH}_{4}\right)$ and ethane $\left(\mathrm{C}_{2} \mathrm{H}_{6}\right)$ of mass $13.43 \mathrm{~g}$ is completely burned in oxygen. If the total mass of $\mathrm{CO}_{2}$ and $\mathrm{H}_{2} \mathrm{O}$ produced is $64.84 \mathrm{~g},$ calculate the fraction of $\mathrm{CH}_{4}$ in the mixture.

Noah Boudrie
Noah Boudrie
Numerade Educator
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Problem 148

Leaded gasoline contains an additive to prevent engine "knocking." On analysis, the additive compound is found to contain carbon, hydrogen, and lead (Pb) (hence, "leaded gasoline"). When $51.36 \mathrm{~g}$ of this compound are burned in an apparatus such as that shown in Figure $3.6,55.90 \mathrm{~g}$ of $\mathrm{CO}_{2}$ and $28.61 \mathrm{~g}$ of $\mathrm{H}_{2} \mathrm{O}$ are produced. Determine the empirical formula of the gasoline additive.

Jean Gephart
Jean Gephart
Numerade Educator
11:07

Problem 149

Because of its detrimental effect on the environment, the lead compound described in Problem 3.148 has been replaced by methyl tert-butyl ether (a compound of $\mathrm{C}, \mathrm{H},$ and $\mathrm{O}$ ) to enhance the performance of gasoline. (This compound is also being phased out because of its contamination of drinking water.) When $12.1 \mathrm{~g}$ of the compound are burned in an apparatus like the one shown in Figure $3.6,30.2 \mathrm{~g}$ of $\mathrm{CO}_{2}$ and $14.8 \mathrm{~g}$ of $\mathrm{H}_{2} \mathrm{O}$ are formed. What is the empirical formula of the compound?

Shazia Naz
Shazia Naz
Numerade Educator
08:50

Problem 150

Suppose you are given a cube made of magnesium (Mg) metal of edge length $1.0 \mathrm{~cm} .$
(a) Calculate the number of $\mathrm{Mg}$ atoms in the cube.
(b) Atoms are spherical in shape. Therefore, the $\mathrm{Mg}$ atoms in the cube cannot fill all of the available space. If only 74 percent of the space inside the cube is taken up by Mg atoms, calculate the radius in picometers of a Mg atom. (The density of $\mathrm{Mg}$ is $1.74 \mathrm{~g} / \mathrm{cm}^{3}$ and the volume of a sphere of radius $r$ is $\frac{4}{3} \pi r^{3} .$

Shazia Naz
Shazia Naz
Numerade Educator
03:58

Problem 151

A certain sample of coal contains 1.6 percent sulfur by mass. When the coal is burned, the sulfur is converted to sulfur dioxide. To prevent air pollution, this sulfur dioxide is treated with calcium oxide $(\mathrm{CaO})$ to form calcium sulfite $\left(\mathrm{CaSO}_{3}\right)$. Calculate the daily mass (in kilograms) of CaO needed by a power plant that uses $6.60 \times 10^{6} \mathrm{~kg}$ of coal per day.

Daniel Kim
Daniel Kim
Numerade Educator
02:58

Problem 152

Air is a mixture of many gases. However, in calculating its "molar mass" we need consider only the three major components: nitrogen, oxygen, and argon. Given that one mole of air at sea level is made up of 78.08 percent nitrogen, 20.95 percent oxygen, and 0.97 percent argon, what is the molar mass of air?

Daniel Kim
Daniel Kim
Numerade Educator
16:23

Problem 153

(a) Determine the mass of calcium metal that contains the same number of moles as $89.6 \mathrm{~g}$ of zinc metal.
(b) Calculate the number of moles of molecular fluorine that has the same mass as 36.9 moles of argon.
(c) What is the mass of sulfuric acid that contains 0.56 mole of oxygen atoms?
(d) Determine the number of moles of phosphoric acid that contains $2.12 \mathrm{~g}$ of hydrogen atoms.

Shazia Naz
Shazia Naz
Numerade Educator
15:54

Problem 154

A major industrial use of hydrochloric acid is in metal pickling. This process involves the removal of metal oxide layers from metal surfaces to prepare them for coating.
(a) Write an equation between iron(III) oxide, which represents the rust layer over iron, and $\mathrm{HCl}$ to form iron(III) chloride and water.
(b) If 1.22 moles of $\mathrm{Fe}_{2} \mathrm{O}_{3}$ and $289.2 \mathrm{~g}$ of HCl react, how many grams of $\mathrm{FeCl}_{3}$ will be produced?

Shazia Naz
Shazia Naz
Numerade Educator
21:37

Problem 155

Octane $\left(\mathrm{C}_{8} \mathrm{H}_{18}\right)$ is a component of gasoline. Complete combustion of octane yields $\mathrm{H}_{2} \mathrm{O}$ and $\mathrm{CO}_{2} .$ Incomplete combustion produces $\mathrm{H}_{2} \mathrm{O}$ and CO, which not only reduces the efficiency of the engine using the fuel but is also toxic. In a certain test run, 1.000 gal of octane is burned in an engine. The total mass of $\mathrm{CO}, \mathrm{CO}_{2},$ and $\mathrm{H}_{2} \mathrm{O}$ produced is $11.53 \mathrm{~kg} .$ Calculate the efficiency of the process; that is, calculate the fraction of octane converted to $\mathrm{CO}_{2}$. The density of octane is $2.650 \mathrm{~kg} / \mathrm{gal}$

Shazia Naz
Shazia Naz
Numerade Educator
11:07

Problem 156

Industrially, hydrogen gas can be prepared by reacting propane gas $\left(\mathrm{C}_{3} \mathrm{H}_{8}\right)$ with steam at about $400^{\circ} \mathrm{C}$. The products are carbon monoxide (CO) and hydrogen gas $\left(\mathrm{H}_{2}\right) .$
(a) Write a balanced equation for the reaction.
(b) How many kilograms of $\mathrm{H}_{2}$ can be obtained from $2.84 \times 10^{3} \mathrm{~kg}$ of propane?

Shazia Naz
Shazia Naz
Numerade Educator
03:36

Problem 157

In a natural product synthesis, a chemist prepares a complex biological molecule entirely from nonbiological starting materials. The target molecules are often known to have some promise as therapeutic agents, and the organic reactions that are developed along the way benefit all chemists. The overall synthesis, however, requires many steps, so it is important to have the best possible percent yields at each step. What is the overall percent yield for such a synthesis that has 24 steps with an 80 percent yield at each step?

Daniel Burr
Daniel Burr
Numerade Educator
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Problem 158

What is wrong or ambiguous with each of the statements here?
(a) $\mathrm{NH}_{4} \mathrm{NO}_{2}$ is the limiting reactant in the reaction$$\mathrm{NH}_{4} \mathrm{NO}_{2}(s) \longrightarrow \mathrm{N}_{2}(g)+2 \mathrm{H}_{2} \mathrm{O}(l)$$
(b) The limiting reactants for the reaction shown here are $\mathrm{NH}_{3}$ and $\mathrm{NaCl}$.
$$\begin{aligned}\mathrm{NH}_{3}(a q)+\mathrm{NaCl}(a q) &+\mathrm{H}_{2} \mathrm{CO}_{3}(a q) & \longrightarrow \\
& \mathrm{NaHCO}_{3}(a q)+\mathrm{NH}_{4} \mathrm{Cl}(a q)
\end{aligned}$$

Susan Hallstrom
Susan Hallstrom
Numerade Educator
10:51

Problem 159

(a) For molecules having small molecular masses, mass spectrometry can be used to identify their formulas. To illustrate this point, identify the molecule that most likely accounts for the observation of a peak in a mass spectrum at 16 amu, 17 amu, 18 amu, and 64 amu.
(b) Note that there are (among others) two likely molecules that would give rise to a peak at 44 amu, namely, $\mathrm{C}_{3} \mathrm{H}_{8}$ and $\mathrm{CO}_{2} .$ In such cases, a chemist might try to look for other peaks generated when some of the molecules break apart in the spectrometer. For example, if a chemist sees a peak at 44 amu and also one at 15 amu, which molecule is producing the 44 -amu peak? Why?
(c) Using the following precise atomic masses $-\mathrm{H}$ ( 1.00797 amu), ${ }^{12} \mathrm{C}(12.00000 \mathrm{amu}),$ and ${ }^{16} \mathrm{O}(15.99491 \mathrm{amu})-$ how precisely must the masses of $\mathrm{C}_{3} \mathrm{H}_{8}$ and $\mathrm{CO}_{2}$, be measured to distinguish between them?

Shazia Naz
Shazia Naz
Numerade Educator
19:02

Problem 160

Potash is any potassium mineral that is used for its potassium content. Most of the potash produced in the United States goes into fertilizer. The major sources of potash are potassium chloride $(\mathrm{KCl})$ and potassium sulfate $\left(\mathrm{K}_{2} \mathrm{SO}_{4}\right) .$ Potash production is often reported as the potassium oxide $\left(\mathrm{K}_{2} \mathrm{O}\right)$ equivalent or the amount of $\mathrm{K}_{2} \mathrm{O}$ that could be made from a given mineral.
(a) If $\mathrm{KCl}$ costs $\$ 0.55$ per $\mathrm{kg}$, for what price (dollar per $\mathrm{kg}$ ) must $\mathrm{K}_{2} \mathrm{SO}_{4}$ be sold to supply the same amount of potassium on a per dollar basis?
(b) What mass (in kg) of $\mathrm{K}_{2} \mathrm{O}$ contains the same number of moles of $\mathrm{K}$ atoms as $1.00 \mathrm{~kg}$ of KCl?

Shazia Naz
Shazia Naz
Numerade Educator
20:05

Problem 161

A 21.496 -g sample of magnesium is burned in air to form magnesium oxide and magnesium nitride. When the products are treated with water, $2.813 \mathrm{~g}$ of gaseous ammonia are generated. Calculate the amounts of magnesium nitride and magnesium oxide formed.

Shazia Naz
Shazia Naz
Numerade Educator
05:06

Problem 162

A certain metal M forms a bromide containing 53.79 percent Br by mass. What is the chemical formula of the compound?

Daniel Kim
Daniel Kim
Numerade Educator
08:01

Problem 163

A sample of iron weighing $15.0 \mathrm{~g}$ was heated with potassium chlorate $\left(\mathrm{KClO}_{3}\right)$ in an evacuated container. The oxygen generated from the decomposition of $\mathrm{KClO}_{3}$ converted some of the Fe to $\mathrm{Fe}_{2} \mathrm{O}_{3}$. If the combined mass of Fe and $\mathrm{Fe}_{2} \mathrm{O}_{3}$ was $17.9 \mathrm{~g}$, calculate the mass of $\mathrm{Fe}_{2} \mathrm{O}_{3}$ formed and the mass of $\mathrm{KClO}_{3}$ decomposed.

Shazia Naz
Shazia Naz
Numerade Educator
24:34

Problem 164

A sample containing $\mathrm{NaCl}, \mathrm{Na}_{2} \mathrm{SO}_{4},$ and $\mathrm{NaNO}_{3}$ gives the following elemental analysis: Na: 32.08 percent; O: 36.01 percent; Cl: 19.51 percent. Calculate the mass percent of each compound in the sample.

Shazia Naz
Shazia Naz
Numerade Educator
06:37

Problem 165

A sample of $10.00 \mathrm{~g}$ of sodium reacts with oxygen to form $13.83 \mathrm{~g}$ of sodium oxide $\left(\mathrm{Na}_{2} \mathrm{O}\right)$ and sodium peroxide $\left(\mathrm{Na}_{2} \mathrm{O}_{2}\right) .$ Calculate the percent composition of the mixture.

Marissa Turner
Marissa Turner
Numerade Educator
01:32

Problem 166

While most isotopes of light elements such as oxygen and phosphorus contain relatively equal numbers of protons and neutrons, recent results indicate that a new class of isotopes called neutron-rich isotopes can be prepared. These neutron-rich isotopes push the limits of nuclear stability as the large number of neutrons approach the "neutron drip line." They may play a critical role in the nuclear reactions of stars. An unusually heavy isotope of aluminum $\left(\begin{array}{l}43 \\ 3\end{array} \mathrm{Al}\right)$ has been reported. How many more neutrons does this atom contain compared to an average aluminum atom?

Anand Jangid
Anand Jangid
Numerade Educator
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Problem 167

Without doing any detailed calculations, arrange the following substances in the increasing order of number of moles: $20.0 \mathrm{~g} \mathrm{Cl}, 35.0 \mathrm{~g} \mathrm{Br},$ and$94.0 \mathrm{~g} \mathrm{I}$

Susan Hallstrom
Susan Hallstrom
Numerade Educator
10:28

Problem 168

Without doing any detailed calculations, estimate which element has the highest percent composition by mass in each of the following compounds:
(a) $\mathrm{Hg}\left(\mathrm{NO}_{3}\right)_{2}$
(b) $\mathrm{NF}_{3}$
(c) $\mathrm{K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}$
(d) $\mathrm{C}_{2952} \mathrm{H}_{4664} \mathrm{~N}_{812} \mathrm{O}_{832} \mathrm{~S}_{8} \mathrm{Fe}_{4}$

Shazia Naz
Shazia Naz
Numerade Educator
07:23

Problem 169

Consider the reaction
$$6 \mathrm{Li}(s)+\mathrm{N}_{2}(g) \longrightarrow 2 \mathrm{Li}_{3} \mathrm{~N}(s)$$ Without doing any detailed calculations, choose one of the following combinations in which nitrogen is the limiting reactant:
(a) $44 \mathrm{~g} \mathrm{Li}$ and $38 \mathrm{~g} \mathrm{~N}_{2}$
(b) $1380 \mathrm{~g} \mathrm{Li}$ and $842 \mathrm{~g} \mathrm{~N}_{2}$
(c) $1.1 \mathrm{~g} \mathrm{Li}$ and $0.81 \mathrm{~g} \mathrm{~N}_{2}$

Susan Hallstrom
Susan Hallstrom
Numerade Educator
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Problem 170

Estimate how high in miles you can stack up an A vogadro's number of oranges covering the entire Earth.

Susan Hallstrom
Susan Hallstrom
Numerade Educator
11:28

Problem 171

The following is a crude but effective method for estimating the order of magnitude of Avogadro's number using stearic acid $\left(\mathrm{C}_{18} \mathrm{H}_{36} \mathrm{O}_{2}\right)$ shown here. When stearic acid is added to water, its molecules collect at the surface and form a monolayer; that is, the layer is only one molecule thick. The crosssectional area of each stearic acid molecule has been measured to be $0.21 \mathrm{nm}^{2}$. In one experiment it is found that $1.4 \times 10^{-4} \mathrm{~g}$ of stearic acid is needed to form a monolayer over water in a dish of diameter $20 \mathrm{~cm} .$ Based on these measurements, what is A vogadro's number?

Shazia Naz
Shazia Naz
Numerade Educator