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Avogadro’s Constant and
Chemical Formulas
1
Avogadro and the Mole
 First page: Title.
 Watch me do the first example(s).
 Copy content at the end of the slide.
 Use my examples to work through your
practice questions.
2
 How do you write 6022 in scientific notation?
 C x 10x where 1 ≤ C < 10
 6.022 x 103
 Write 6022 and 200 in scientific notation,
and then multiply them, giving the answer in
scientific notation.
= 12.044 x 105
Scientific Notation Review
(Front = page 1)
3
6.022 x 103 2 x 102x
= 1 x 106
 Write 0.006022 and 0.0201 in scientific
notation, and then divide them, giving the
answer in scientific notation.
Scientific Notation Review
(page 1, continued)
4
6.022 x 10-3
= 2.996 x 10-1
2.01 x 10-2
6.022
2.01
10-3
10-2
x=
= 0.300
Conversion Review/Practice
(Page 2)
 What is the formula for conversions?
Original x
 How do you convert 2 days to minutes?
1 day = 24 hours; 1hour = 60 minutes
Therefore, 2 days
= 2880 minutes
Units To
Units From
x 24 hours
1 day
5
x 60 minutes
1 hour
Classwork Practice
(Page 3)
1. Convert 6022 km to centimeters.
2. How many hours are in 3 years?
15 minutes.
6
Rules for Avogadro’s
Number (Page 4)
1. What is Avogadro’s number?
 6.022 x 1023
2. What unit is represented by Avogadro’s
number?
 A mole
3. What does the mole measure in Chemistry?
 Particles (atoms, molecules, ions, electrons,...)
4. How many particles are in 1 mole?
 6.022 x 1023
7
Mole Particle Conversions
(Page 5)
1. How many atoms of iron are in 3 moles of Fe?
1 mole = 6.022 x 1023 atoms
Therefore, 3 moles
= 18.066 x 1023 atoms
2. How many moles are 5.66 x 1023 ions of Na+?
1 mole = 6.022 x 1023 ions
5.66 x 1023 ions
= 0.940 ions
8
x 6.022 x 1023 atoms
1 mole
= 1.8066 x 1024 atoms
x 1 mole
6.022 x 1023 ions
Conversion Practice 1
(Page 5)
1. How many atoms of Xe are in 0.187 moles
of Xe ?
2. How many moles of C atoms in 3.161 x
1021 molecules of CO2?
3. How many moles of O atoms in 3.161 x
1021 molecules of CO2?
9
Rules for Avogadro’s
Number (Page 4)
5. If I have one mole of an element, how
much will it weigh?
 It’s average atomic mass in grams
6. The molar mass of an element is
measured in grams per mole = g/mol.
 For example, the molar mass of carbon is
 12.011 g/mol
10
Mole-Mass Conversions
(Page 6)
1. What is the mass of 4 moles of Cu?
1 mole of Cu = 63.546 grams
Therefore, 4 moles
= 254.18 grams
2. What is the mass of 2.11 x 1024 atoms of Cu?
2.11 x 1024 atoms
= 223 grams 11
x 63.546 grams
1 mole
x 1 mole
6.022 x 1023 atoms
x 63.546 grams
1 mole
Molar Mass Conversions
(Rules - Page 4)
 If a formula tells you the ratio (ionic)
or number (molecular) of atoms in a compound,
how can we calculate the mass of a compound?
CH4 or CO2 or OH-
7. The molar mass of any molecule, formula unit,
or ion is the sum of the average atomic masses
of all atoms represented in its formula.
C + (H x 4) or C + (O x 2) or (O + H)
12
Molar Mass Conversions
(Page 7)
3. What is the mass of 2 moles of CH4?
1 mole of CH4 = 1 mol of C atoms
+ 4 mol of H atoms
Molar mass of CH4 = 12.011 g/mol
+ 4 (1.008 g/mol)
= 16.043 g/mol
Mass of 2 moles of CH4 = 2 moles
= 32.086 grams 13
x 16.043 grams
1 mole
Classwork Practice
(Page 8)
1. Find the number of moles in 54g of water.
2. Determine the number of water molecules
from the previous question.
15 minutes.
14
Rules for Avogadro’s
Number (Page 3 – final rule)
 How do I know I have one mole of a gas in
a container?
8. At STP, 1 mol of any gas occupies 22.4L
Practice:
What is the volume, in L, of 2 moles of CH4 gas?
1mol = 22.4L
2mol
= 44.8 Liters 15
x 22.4 Liters
1 mole
Chemical Formulas
 Front page:
Title and your name.
 Watch me do the first example(s).
 Copy content at the end of the slide.
 Use my examples to work through your
practice questions.
16
Percentage Composition
(Page 1)
1. How do you calculate Percentage?
= x 100
2. If 4 eggs in a dozen are brown and the rest are
white, what % of the eggs are white? Brown?
White eggs = 12 - 4 = 8; x 100 = 66.67%
Brown? x 100 = 33.33%
3. If each brown egg weighs 10 grams and each
white egg weighs 9 grams:
What is the total weight of a dozen eggs?
(4 x 10g) + (8 x 9g) = 112g.
Part
Whole
8
12
4
12
17
Percentage Composition
(Page 2)
Determine the percentage composition of water.
Formula of water = H2O
Formula mass of H2O = 2(1.008 amu) + 15.999 amu
= 18.159 amu
What percent is hydrogen? ( x 100) =
What percent is oxygen? ( x 100) =
Percentage composition:
The mass of each element in a compound expressed as a
percentage of the total mass of the compound.
2
18
18
11.11% H
16
18
88.89% O
Percentage Composition
Practice (Page 3)
1a) Percentage composition of lead (II) chloride.
1b) Percentage composition of barium nitrate.
19
Percentage Composition
Practice Answers (Page 3)
1a) Percentage composition of PbCl2.
Formula mass of PbCl2= 207.2 + 2(35.45) amu = 278.1 amu
%Pb = x 100 = 74.51%
%Cl = x 100 = 25.49%
1b) Percentage composition of Ba(NO3)2.
Formula mass of Ba(NO3)2 =137.33 + 2(14.007) + 6(15.999)= 261.33amu
%Ba = x 100 = ?%
%N = x 100 = ?%
%O = x 100 = ?%
207.2 amu
278.1 amu
70.9 amu
278.1 amu
137.33 amu
261.33 amu
20
Empirical Formula
(Page 4)
 Empirical Formula:
The symbols of each element in a compound with
subscripts showing the simplest whole number
ratio of each element in the compound.
 For example, hydrogen peroxide consists of 2
hydrogen atoms bonded to 2 oxygen atoms:
 But is H2O2 the simplest ratio (empirical formula)?
 No: the empirical formula is HO.
HH OO
21
Empirical Formula
(Page 4 continued)
 We can use percentage composition as a ratio to
determine the empirical formula.
 For example, water consists of 11.11% H and 88.89% O
(earlier example).
1. Use 100g sample of water = 11.11g H; 88.89g O
2. Convert to a mole ratio = mol H mol O
(divide by element’s molar mass)
3. Simplify the ratio
(divide by the smaller mole value) =
Empirical formula = H2O
11.11g
1g/mol
88.89g
16g/mol
= 11.11mol = 5.55mol
5.55mol5.55mol
2 : 1
22
Empirical Formula Practice
(Page 5)
 Determine the empirical formula for a compound
that consists of 32.38% sodium, 22.65% sulfur,
44.99% oxygen.
23
Empirical Formula from Mass
(Page 6)
 We can use actual mass to determine the empirical
formula.
 Example: A 10.15g sample consists of 5.72g oxygen and
the rest phosphorus.
1. State mass of each element = (10.15-5.72)g P; 5.72g O
2. Convert to a mole ratio = mol P mol O
(divide by element’s molar mass)
3. Simplify the ratio
(divide by the smaller mole value) =
Empirical formula = P2O5
4.43g
31g/mol
5.72g
16g/mol
= 0.14 mol = 0.36mol
0.14mol0.14mol
1 : 2.57
24
Molecular Formula
(Page 7)
 Molecular Formula:
A chemical formula with subscripts showing the
actual whole number ratio of each element in the
compound.
 The molecular formula is therefore a multiple of
the empirical formula:
Molecular formula = x (empirical formula)
Where x is a whole number.
Example : H2O2 = 2 (HO)
25
Molecular Formula from
Empirical Formula (Page 7)
 Example: A compound with empirical formula CH has a
molar mass of 78 g/mol. What is the molecular formula?
1. Determine formula mass = 12amu + 1amu = 13 amu
(of empirical formula)
2. Formula mass of molecule (# amu) = molar mass (78 g/mol)
3. Find out formula ratio (a.k.a. the X factor) =
(empirical to molecular)
4. Multiply all the empirical subscripts by the X factor
empirical formula = CH
Molecular formula = C6H6
78 amu = 6
13 amu
26
Molecular Formula Practice
(Back of foldable)
1. A brown gas has an empirical formula NO2 and a
molar mass of 46g/mol. What is the molecular
formula?
2. A compound has the empirical formula CH2O. Its
experimental molar mass is 90.0 g/mol. What is
its molecular formula?
Homework: Juno Quiz “Chemical Formulas”
due next class
27

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Regular_AvogadroMole

  • 2. Avogadro and the Mole  First page: Title.  Watch me do the first example(s).  Copy content at the end of the slide.  Use my examples to work through your practice questions. 2
  • 3.  How do you write 6022 in scientific notation?  C x 10x where 1 ≤ C < 10  6.022 x 103  Write 6022 and 200 in scientific notation, and then multiply them, giving the answer in scientific notation. = 12.044 x 105 Scientific Notation Review (Front = page 1) 3 6.022 x 103 2 x 102x = 1 x 106
  • 4.  Write 0.006022 and 0.0201 in scientific notation, and then divide them, giving the answer in scientific notation. Scientific Notation Review (page 1, continued) 4 6.022 x 10-3 = 2.996 x 10-1 2.01 x 10-2 6.022 2.01 10-3 10-2 x= = 0.300
  • 5. Conversion Review/Practice (Page 2)  What is the formula for conversions? Original x  How do you convert 2 days to minutes? 1 day = 24 hours; 1hour = 60 minutes Therefore, 2 days = 2880 minutes Units To Units From x 24 hours 1 day 5 x 60 minutes 1 hour
  • 6. Classwork Practice (Page 3) 1. Convert 6022 km to centimeters. 2. How many hours are in 3 years? 15 minutes. 6
  • 7. Rules for Avogadro’s Number (Page 4) 1. What is Avogadro’s number?  6.022 x 1023 2. What unit is represented by Avogadro’s number?  A mole 3. What does the mole measure in Chemistry?  Particles (atoms, molecules, ions, electrons,...) 4. How many particles are in 1 mole?  6.022 x 1023 7
  • 8. Mole Particle Conversions (Page 5) 1. How many atoms of iron are in 3 moles of Fe? 1 mole = 6.022 x 1023 atoms Therefore, 3 moles = 18.066 x 1023 atoms 2. How many moles are 5.66 x 1023 ions of Na+? 1 mole = 6.022 x 1023 ions 5.66 x 1023 ions = 0.940 ions 8 x 6.022 x 1023 atoms 1 mole = 1.8066 x 1024 atoms x 1 mole 6.022 x 1023 ions
  • 9. Conversion Practice 1 (Page 5) 1. How many atoms of Xe are in 0.187 moles of Xe ? 2. How many moles of C atoms in 3.161 x 1021 molecules of CO2? 3. How many moles of O atoms in 3.161 x 1021 molecules of CO2? 9
  • 10. Rules for Avogadro’s Number (Page 4) 5. If I have one mole of an element, how much will it weigh?  It’s average atomic mass in grams 6. The molar mass of an element is measured in grams per mole = g/mol.  For example, the molar mass of carbon is  12.011 g/mol 10
  • 11. Mole-Mass Conversions (Page 6) 1. What is the mass of 4 moles of Cu? 1 mole of Cu = 63.546 grams Therefore, 4 moles = 254.18 grams 2. What is the mass of 2.11 x 1024 atoms of Cu? 2.11 x 1024 atoms = 223 grams 11 x 63.546 grams 1 mole x 1 mole 6.022 x 1023 atoms x 63.546 grams 1 mole
  • 12. Molar Mass Conversions (Rules - Page 4)  If a formula tells you the ratio (ionic) or number (molecular) of atoms in a compound, how can we calculate the mass of a compound? CH4 or CO2 or OH- 7. The molar mass of any molecule, formula unit, or ion is the sum of the average atomic masses of all atoms represented in its formula. C + (H x 4) or C + (O x 2) or (O + H) 12
  • 13. Molar Mass Conversions (Page 7) 3. What is the mass of 2 moles of CH4? 1 mole of CH4 = 1 mol of C atoms + 4 mol of H atoms Molar mass of CH4 = 12.011 g/mol + 4 (1.008 g/mol) = 16.043 g/mol Mass of 2 moles of CH4 = 2 moles = 32.086 grams 13 x 16.043 grams 1 mole
  • 14. Classwork Practice (Page 8) 1. Find the number of moles in 54g of water. 2. Determine the number of water molecules from the previous question. 15 minutes. 14
  • 15. Rules for Avogadro’s Number (Page 3 – final rule)  How do I know I have one mole of a gas in a container? 8. At STP, 1 mol of any gas occupies 22.4L Practice: What is the volume, in L, of 2 moles of CH4 gas? 1mol = 22.4L 2mol = 44.8 Liters 15 x 22.4 Liters 1 mole
  • 16. Chemical Formulas  Front page: Title and your name.  Watch me do the first example(s).  Copy content at the end of the slide.  Use my examples to work through your practice questions. 16
  • 17. Percentage Composition (Page 1) 1. How do you calculate Percentage? = x 100 2. If 4 eggs in a dozen are brown and the rest are white, what % of the eggs are white? Brown? White eggs = 12 - 4 = 8; x 100 = 66.67% Brown? x 100 = 33.33% 3. If each brown egg weighs 10 grams and each white egg weighs 9 grams: What is the total weight of a dozen eggs? (4 x 10g) + (8 x 9g) = 112g. Part Whole 8 12 4 12 17
  • 18. Percentage Composition (Page 2) Determine the percentage composition of water. Formula of water = H2O Formula mass of H2O = 2(1.008 amu) + 15.999 amu = 18.159 amu What percent is hydrogen? ( x 100) = What percent is oxygen? ( x 100) = Percentage composition: The mass of each element in a compound expressed as a percentage of the total mass of the compound. 2 18 18 11.11% H 16 18 88.89% O
  • 19. Percentage Composition Practice (Page 3) 1a) Percentage composition of lead (II) chloride. 1b) Percentage composition of barium nitrate. 19
  • 20. Percentage Composition Practice Answers (Page 3) 1a) Percentage composition of PbCl2. Formula mass of PbCl2= 207.2 + 2(35.45) amu = 278.1 amu %Pb = x 100 = 74.51% %Cl = x 100 = 25.49% 1b) Percentage composition of Ba(NO3)2. Formula mass of Ba(NO3)2 =137.33 + 2(14.007) + 6(15.999)= 261.33amu %Ba = x 100 = ?% %N = x 100 = ?% %O = x 100 = ?% 207.2 amu 278.1 amu 70.9 amu 278.1 amu 137.33 amu 261.33 amu 20
  • 21. Empirical Formula (Page 4)  Empirical Formula: The symbols of each element in a compound with subscripts showing the simplest whole number ratio of each element in the compound.  For example, hydrogen peroxide consists of 2 hydrogen atoms bonded to 2 oxygen atoms:  But is H2O2 the simplest ratio (empirical formula)?  No: the empirical formula is HO. HH OO 21
  • 22. Empirical Formula (Page 4 continued)  We can use percentage composition as a ratio to determine the empirical formula.  For example, water consists of 11.11% H and 88.89% O (earlier example). 1. Use 100g sample of water = 11.11g H; 88.89g O 2. Convert to a mole ratio = mol H mol O (divide by element’s molar mass) 3. Simplify the ratio (divide by the smaller mole value) = Empirical formula = H2O 11.11g 1g/mol 88.89g 16g/mol = 11.11mol = 5.55mol 5.55mol5.55mol 2 : 1 22
  • 23. Empirical Formula Practice (Page 5)  Determine the empirical formula for a compound that consists of 32.38% sodium, 22.65% sulfur, 44.99% oxygen. 23
  • 24. Empirical Formula from Mass (Page 6)  We can use actual mass to determine the empirical formula.  Example: A 10.15g sample consists of 5.72g oxygen and the rest phosphorus. 1. State mass of each element = (10.15-5.72)g P; 5.72g O 2. Convert to a mole ratio = mol P mol O (divide by element’s molar mass) 3. Simplify the ratio (divide by the smaller mole value) = Empirical formula = P2O5 4.43g 31g/mol 5.72g 16g/mol = 0.14 mol = 0.36mol 0.14mol0.14mol 1 : 2.57 24
  • 25. Molecular Formula (Page 7)  Molecular Formula: A chemical formula with subscripts showing the actual whole number ratio of each element in the compound.  The molecular formula is therefore a multiple of the empirical formula: Molecular formula = x (empirical formula) Where x is a whole number. Example : H2O2 = 2 (HO) 25
  • 26. Molecular Formula from Empirical Formula (Page 7)  Example: A compound with empirical formula CH has a molar mass of 78 g/mol. What is the molecular formula? 1. Determine formula mass = 12amu + 1amu = 13 amu (of empirical formula) 2. Formula mass of molecule (# amu) = molar mass (78 g/mol) 3. Find out formula ratio (a.k.a. the X factor) = (empirical to molecular) 4. Multiply all the empirical subscripts by the X factor empirical formula = CH Molecular formula = C6H6 78 amu = 6 13 amu 26
  • 27. Molecular Formula Practice (Back of foldable) 1. A brown gas has an empirical formula NO2 and a molar mass of 46g/mol. What is the molecular formula? 2. A compound has the empirical formula CH2O. Its experimental molar mass is 90.0 g/mol. What is its molecular formula? Homework: Juno Quiz “Chemical Formulas” due next class 27

Editor's Notes

  1. [1.05 x 10-2 mol O] [5.249 x 10-3 mol C]