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1.
2. The Mole
Section 10.1 Measuring Matter
Section 10.2 Mass and the Mole
Section 10.3 Moles of Compounds
Section 10.4 Empirical and
Molecular Formulas
Section 10.5 Formulas of Hydrates
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3. Section 10.1 Measuring Matter
• Explain how a mole is
used to indirectly count
the number of particles of
matter.
molecule: two or more
atoms that covalently
bond together to form a
unit
mole
Avogadro’s number
• Relate the mole to a
common everyday
counting unit.
• Convert between moles
and number of
representative particles.
Chemists use the mole to count atoms,
molecules, ions, and formula units.
4. Counting Particles
• Chemists need a convenient method for
accurately counting the number of atoms,
molecules, or formula units of a substance.
• The mole is the SI base unit used to measure
the amount of a substance.
• 1 mole is the amount of atoms in 12 g of pure
carbon-12, or 6.02 × 1023
atoms.
• The number is called Avogadro’s number.
5. Converting Between Moles and Particles
• Conversion factors must be used.
• Moles to particles
Number of molecules in 3.50 mol of sucrose
6. Converting Between Moles and Particles (cont.)
• Particles to moles
• Use the inverse of Avogadro’s number as the
conversion factor.
7. A. A
B. B
C. C
D. D
A
B
C
D
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Section 10.1 Assessment
What does the mole measure?
A. mass of a substance
B. amount of a substance
C. volume of a gas
D. density of a gas
8. A. A
B. B
C. C
D. D
A
B
C
D
0% 0%0%0%
Section 10.1 Assessment
What is the conversion factor for
determining the number of moles of a
substance from a known number of
particles?
A.
B.
C. 1 particle × 6.02 × 1023
D. 1 mol × 6.02 × 1023
particles
9.
10. Section 10.2 Mass and the Mole
• Relate the mass of an atom
to the mass of a mole of
atoms.
conversion factor: a
ratio of equivalent
values used to express
the same quantity in
different units
molar mass
• Convert between number
of moles and the mass of
an element.
• Convert between number
of moles and number of
atoms of an element.
A mole always contains the same number
of particles; however, moles of different
substances have different masses.
11. The Mass of a Mole
• 1 mol of copper and 1 mol of carbon have
different masses.
• One copper atom has a different mass than 1
carbon atom.
12. The Mass of a Mole (cont.)
• Molar mass is the mass in grams of one
mole of any pure substance.
• The molar mass of any element is
numerically equivalent to its atomic mass and
has the units g/mol.
13. Using Molar Mass
• Moles to mass
3.00 moles of copper has a mass of 191 g.
14. Using Molar Mass (cont.)
• Convert mass to moles with the inverse
molar mass conversion factor.
• Convert moles to atoms with Avogadro’s
number as the conversion factor.
15. Using Molar Mass (cont.)
• This figure shows the steps to complete
conversions between mass and atoms.
16. A. A
B. B
C. C
D. D
A
B
C
D
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Section 10.2 Assessment
The mass in grams of 1 mol of any pure
substance is:
A. molar mass
B. Avogadro’s number
C. atomic mass
D. 1 g/mol
17. A. A
B. B
C. C
D. D
Section 10.2 Assessment
A
B
C
D
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Molar mass is used to convert what?
A. mass to moles
B. moles to mass
C. atomic weight
D. particles
18.
19. Section 10.3 Moles of Compounds
• Recognize the mole relationships shown by a
chemical formula.
representative particle: an atom, molecule, formula
unit, or ion
• Calculate the molar mass of a compound.
• Convert between the number of moles and mass of
a compound.
• Apply conversion factors to determine the number of
atoms or ions in a known mass of a compound.
20. Section 10.3 Moles of Compounds (cont.)
The molar mass of a compound can be
calculated from its chemical formula
and can be used to convert from mass
to moles of that compound.
21. Chemical Formulas and the Mole
• Chemical formulas indicate the numbers
and types of atoms contained in one unit of
the compound.
• One mole of CCl2
F2
contains one mole of C
atoms, two moles of Cl atoms, and two moles
of F atoms.
22. The Molar Mass of Compounds
• The molar mass of a compound equals the
molar mass of each element, multiplied by
the moles of that element in the chemical
formula, added together.
• The molar mass of a compound
demonstrates the law of conservation of
mass.
23. Converting Moles of a Compound to Mass
• For elements, the conversion factor is the
molar mass of the compound.
• The procedure is the same for compounds,
except that you must first calculate the molar
mass of the compound.
24. Converting the Mass of a Compound to Moles
• The conversion factor is the inverse of the
molar mass of the compound.
25. Converting the Mass of a Compound to
Number of Particles
• Convert mass to moles of compound with
the inverse of molar mass.
• Convert moles to particles with Avogadro’s
number.
26. Converting the Mass of a Compound to
Number of Particles (cont.)
• This figure summarizes the conversions
between mass, moles, and particles.
27. A. A
B. B
C. C
D. D
A
B
C
D
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Section 10.3 Assessment
How many moles of OH—
ions are in 2.50
moles of Ca(OH)2
?
A. 2.00
B. 2.50
C. 4.00
D. 5.00
28. A. A
B. B
C. C
D. D
Section 10.3 Assessment
A
B
C
D
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How many particles of Mg are in 10 moles
of MgBr2
?
A. 6.02 × 1023
B. 6.02 × 1024
C. 1.20 × 1024
D. 1.20 × 1025
29.
30. Section 10.4 Empirical and Molecular Formulas
• Explain what is meant by
the percent composition
of a compound.
percent by mass: the
ratio of the mass of each
element to the total
mass of the compound
expressed as a percent
percent composition
empirical formula
molecular formula
• Determine the
empirical and molecular
formulas for a
compound from mass
percent and actual
mass data.
A molecular formula of a compound is
a whole-number multiple of its
empirical formula.
31. Percent Composition
• The percent by mass of any element in a
compound can be found by dividing the
mass of the element by the mass of the
compound and multiplying by 100.
32. Percent Composition (cont.)
• The percent by mass of each element in a
compound is the percent composition of
a compound.
• Percent composition of a compound can also
be determined from its chemical formula.
33. Empirical Formula
• The empirical formula for a compound is
the smallest whole-number mole ratio of
the elements.
• You can calculate the empirical formula from
percent by mass by assuming you have
100.00 g of the compound. Then, convert the
mass of each element to moles.
• The empirical formula may or may not be the
same as the molecular formula.
Molecular formula of hydrogen peroxide = H2
O2
Empirical formula of hydrogen peroxide = HO
34. Molecular Formula
• The molecular formula specifies the
actual number of atoms of each element in
one molecule or formula unit of the
substance.
• Molecular formula is always a whole-number
multiple of the empirical formula.
36. A. A
B. B
C. C
D. D
A
B
C
D
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Section 10.4 Assessment
What is the empirical formula for the
compound C6
H12
O6
?
A. CHO
B. C2
H3
O2
C. CH2
O
D. CH3
O
37. A. A
B. B
C. C
D. D
Section 10.4 Assessment
A
B
C
D
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Which is the empirical formula for
hydrogen peroxide?
A. H2
O2
B. H2
O
C. HO
D. none of the above
38.
39. Section 10.5 Formulas of Hydrates
• Explain what a hydrate
is and relate the name of
the hydrate to its
composition.
crystal lattice: a three-
dimensional geometric
arrangement of particles
hydrate
• Determine the formula
of a hydrate from
laboratory data.
Hydrates are solid ionic compounds in
which water molecules are trapped.
40. Naming Hydrates
• A hydrate is a compound that has a
specific number of water molecules bound
to its atoms.
• The number of water molecules associated
with each formula unit of the compound is
written following a dot.
• Sodium carbonate decahydrate =
Na2
CO3
• 10H2
O
42. Analyzing a Hydrate
• When heated, water molecules are
released from a hydrate leaving an
anhydrous compound.
• To determine the formula of a hydrate, find
the number of moles of water associated with
1 mole of hydrate.
43. Analyzing a Hydrate (cont.)
• Weigh hydrate.
• Heat to drive off the water.
• Weigh the anhydrous compound.
• Subtract and convert the difference to moles.
• The ratio of moles of water to moles of
anhydrous compound is the coefficient for
water in the hydrate.
44. Use of Hydrates
• Anhydrous forms of hydrates are often
used to absorb water, particularly during
shipment of electronic and optical
equipment.
• In chemistry labs, anhydrous forms of
hydrates are used to remove moisture from
the air and keep other substances dry.
45. A. A
B. B
C. C
D. D
A
B
C
D
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Section 10.5 Assessment
Heating a hydrate causes what to happen?
A. Water is driven from the hydrate.
B. The hydrate melts.
C. The hydrate conducts
electricity.
D. There is no change in the
hydrate.
46. A. A
B. B
C. C
D. D
Section 10.5 Assessment
A
B
C
D
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A hydrate that has been heated and the
water driven off is called:
A. dehydrated compound
B. antihydrated compound
C. anhydrous compound
D. hydrous compound
49. Section 10.1 Measuring Matter
Key Concepts
• The mole is a unit used to count particles of matter
indirectly. One mole of a pure substance contains
Avogadro’s number of particles.
• Representative particles include atoms, ions,
molecules, formula units, electrons, and other similar
particles.
• One mole of carbon-12 atoms has a mass of exactly
12 g.
• Conversion factors written from Avogadro’s relationship
can be used to convert between moles and number of
representative particles.
50. Section 10.2 Mass and the Mole
Key Concepts
• The mass in grams of 1 mol of any pure substance is
called its molar mass.
• The molar mass of an element is numerically equal to
its atomic mass.
• The molar mass of any substance is the mass in grams
of Avogadro’s number of representative particles of the
substance.
• Molar mass is used to convert from moles to mass. The
inverse of molar mass is used to convert from mass to
moles.
51. Section 10.3 Moles of Compounds
Key Concepts
• Subscripts in a chemical formula indicate how many
moles of each element are present in 1 mol of the
compound.
• The molar mass of a compound is calculated from the
molar masses of all of the elements in the compound.
• Conversion factors based on a compound’s molar
mass are used to convert between moles and mass of
a compound.
52. Section 10.4 Empirical and
Molecular Formulas
Key Concepts
• The percent by mass of an element in a compound
gives the percentage of the compound’s total mass
due to that element.
• The subscripts in an empirical formula give the smallest
whole-number ratio of moles of elements in the
compound.
• The molecular formula gives the actual number of
atoms of each element in a molecule or formula unit of
a substance.
• The molecular formula is a whole-number
multiple of the empirical formula.
53. Section 10.5 Formulas of Hydrates
Key Concepts
• The formula of a hydrate consists of the formula of
the ionic compound and the number of water
molecules associated with one formula unit.
• The name of a hydrate consists of the compound name
and the word hydrate with a prefix indicating the
number of water molecules in 1 mol of the compound.
• Anhydrous compounds are formed when hydrates are
heated.
54. A. A
B. B
C. C
D. D
A
B
C
D
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What does Avogadro’s number represent?
A. the number of atoms in 1 mol of
an element
B. the number of molecules in 1 mol of
a compound
C. the number of Na+
ions in 1 mol of
NaCl (aq)
D. all of the above
55. A. A
B. B
C. C
D. D
A
B
C
D
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The molar mass of an element is
numerically equivalent to what?
A. 1 amu
B. 1 mole
C. its atomic mass
D. its atomic number
56. A. A
B. B
C. C
D. D
A
B
C
D
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How many moles of hydrogen atoms are
in one mole of H2
O2
?
A. 1
B. 2
C. 3
D. 0.5
57. A. A
B. B
C. C
D. D
A
B
C
D
0% 0%0%0%
What is the empirical formula of Al2
Br3
?
A. AlBr
B. AlBr3
C. Al2
Br
D. Al2
Br3
58. A. A
B. B
C. C
D. D
A
B
C
D
0% 0%0%0%
What is an ionic solid with trapped water
molecules called?
A. aqueous solution
B. anhydrous compound
C. hydrate
D. solute
59. A. A
B. B
C. C
D. D
A
B
C
D
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Two substances have the same percent by
mass composition, but very different
properties. They must have the same ____.
A. density
B. empirical formula
C. molecular formula
D. molar mass
60. A. A
B. B
C. C
D. D
A
B
C
D
0% 0%0%0%
How many moles of Al are in 2.0 mol of
Al2
Br3
?
A. 2
B. 4
C. 6
D. 1
61. A. A
B. B
C. C
D. D
A
B
C
D
0% 0%0%0%
How many water molecules are
associated with 3.0 mol of CoCl2
• 6H2
O?
A. 18
B. 1.1 × 1025
C. 3.6 × 1024
D. 1.8 × 1024
62. A. A
B. B
C. C
D. D
A
B
C
D
0% 0%0%0%
How many atoms of hydrogen are in
3.5 mol of H2
S?
A. 7.0 × 1023
B. 2.1 × 1023
C. 6.0 × 1023
D. 4.2 × 1024
63. A. A
B. B
C. C
D. D
A
B
C
D
0% 0%0%0%
Which is not the correct formula for an
ionic compound?
A. CO2
B. NaCl
C. Na2
SO4
D. LiBr2
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