Moles, Avogadro’s
Number and Molar Mass
Converting moles to molecules,
atoms, and particles
Can anyone define the
term mole?
a) 1 dozen = 12 units b) 1 pair = 2 units
Daily life – we used:
To delegate a big quantity:
Definition
Chemistry- mole concept:
Mole is a substance quantity that contain a
number of particles such as atom, ion, or
molecule that have equal number of atom in 12
gram of 12C or 6.02 x 1023 particles
Example:
1 year = 12 months
1 month = 30 days
1 kg = 1000 g
1 km = 1000 m
1 dozen oxygen atoms = 12 oxygen atoms
1 mole oxygen atoms = 6.02 x 1023 oxygen atoms
1 mole sodium atoms = 6.02 x 1023 sodium atoms
1 mole carbon atoms = 6.02 x 1023 carbon atoms
Daily life
Chemistry
Mole
 SI unit used to measure the amount of a
substance
 equal to 6.02 x 1023 atoms, molecules, or
particles
 Avogadro’s number
 Abbreviated by mol
Avogadro’s Number
 6.02 X 1023
 Used to count extremely small particles
 Named in honor of Italian physicist
Amedeo Avogardo
 Determined the volume of one mole of a gas
Conversions
Mole  Molecules, Atoms, or
Particles
 In order to convert moles to molecules
atoms, or particles, you have to
MULTIPLY the number of moles by
Avogadro’s number (6.02 x 1023)
 Example: How many atoms are there in
4.0 moles?
How many atoms are there in 4.0
moles?
Moles  Atoms…MULTIPLY BY AVOGADRO’S
NUMBER
2.4 x 1024 atoms
Molecules, Atoms, or Particles 
Moles
 In order to convert molecules, atoms, or
particles to moles, you have to DIVIDE
the number of moles by Avogadro’s
number (6.02 x 1023)
 Example: How many moles are there in
7.14 x 1023 molecules?
How many moles are there in 7.14
x 1023 molecules?
Molecules  Moles…DIVIDE BY AVOGADRO’S
NUMBER
1.19 moles
Practice
How many molecules are there in
3.5 moles?
Moles  Molecules…MULTIPLY BY
AVOGADRO’S NUMBER
2.11 x 1024 molecules
How many particles are there in 9.6
moles?
Moles  Particles…MULTIPLY BY
AVOGADRO’S NUMBER
5.78 x 1024 particles
How many moles are there in 5.75
x 1024 atoms?
Atoms  Moles…DIVIDE BY AVOGADRO’S
NUMBER
9.55 moles
How many moles are there in 3.58
x 1023 particles?
Molecules  Moles…DIVIDE BY AVOGADRO’S
NUMBER
0.59 moles
Molar Mass
Molar Mass
 the mass in grams of one mole of any
pure substance
 In other words, the molar mass of any
element is equivalent to the atomic mass
of that element
 in units of grams per mole; g/mol
Calculating Molar Mass
 - To calculate the molar mass of a
substance, you add the atomic mass of
every element in the compound
 The total atomic mass is the molar mass of
the substance.
Example
What is the molar mass of N?
Step 1: determine the atomic mass
N: 14
Step 2: add units
g/mol
molar mass = 14 g/mol
Example
What is the molar mass of CO2?
Step 1: determine the mass of each element
C: 12
O: 16 X 2
Step 2: add the masses to get the total atomic mass
12+16+16=44
Step 3: add units
g/mol
Molar mass = 44 g/mol
Practice
 What is the molar mass of NaCl?
 58.5 g/mol
 What is the molar mass of H3O?
 19 g/mol
 What is the molar mass of H2SO4?
 98 g/mol
Mole  Gram
Conversions
Review
 Mole
 SI unit used to measure the amount of a substance
 Abbreviate by mol
 Molar mass
 total atomic mass of every element in the compound
 Units: g/mol
What is the molar mass of NH3?
 Step 1: determine the mass of each element
 N: 14
 H:1 X 3
 Step 2: total the masses
 14+3=17
 Step 3: attach the units
 17g/mol
Mole  Gram Conversions
 When given the number of moles,
MULTIPLY by the molar mass of the
substance.
 What is the mass of 5 moles of H2O?
What is the mass of 5.O moles of
H2O?
 Step 1: Write the given
 Step 2: Multiply by molar mass
 Step 3: Cancel the units
 Step 4: Solve
90 grams H2O
Gram  Mole Conversions
 When given the number of moles,
DIVIDE by the molar mass of the
substance.
 How many moles are equivalent to 50g N?
How many moles are equivalent to
50g N?
 Step 1: Write the given
 Step 2: Divide by the molar mass
 Step 3: Cancel the units
 Step 4: Solve
3.57 moles N
Practice
What is the mass of …
 2.22 mol Ti
 106 g Ti
 1.22 X 1023 mol Ag
 1.32 X 1025 g Ag
 4.5 mol H2SO4
 441 g H2SO4
How many moles are consumed
in…
 5.62 g Kr
 0.0669 mol Kr
 55 g As
 0.73 mol As
 7.5 g NaCl
 0.128 mol NaCl
Particles  Gram Conversions
 Remember, particles, atoms, and
molecules are all the same
 To convert particles to grams…
 1st: convert particles to moles
 2nd: convert moles to grams
Review
 When converting from moles to atoms,
molecules, or particles, you must
MULTIPLY by Avogadro’s number.
 When converting atoms, particles, or
molecules to moles, you must DIVIDE by
Avogadro’s number.
What is the mass of 2.5 X 1023
atoms of H2O?
 Step 1: convert atoms to moles
 Step 2: convert moles to grams
Grams  Particles Conversions
 Once again, remember particles, atoms,
and molecules are all the same
 To convert grams to particles…
 1st: grams to moles
 2nd: convert moles to particles
How many molecules are in 4.5 g
C?
 Step 1: Convert grams to moles
 Step 2: Convert moles to molecules
Practice
 How many grams are in 5.0 X 1024 atoms of K?
 What is the mass of 8.5 X 1023 molecules of
NH2?
 How many particles are in 3.75 g Ca?
 How many molecules are in 96 g HBr2?

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7648568.ppt

  • 1. Moles, Avogadro’s Number and Molar Mass Converting moles to molecules, atoms, and particles
  • 2. Can anyone define the term mole?
  • 3. a) 1 dozen = 12 units b) 1 pair = 2 units Daily life – we used: To delegate a big quantity: Definition Chemistry- mole concept: Mole is a substance quantity that contain a number of particles such as atom, ion, or molecule that have equal number of atom in 12 gram of 12C or 6.02 x 1023 particles
  • 4. Example: 1 year = 12 months 1 month = 30 days 1 kg = 1000 g 1 km = 1000 m 1 dozen oxygen atoms = 12 oxygen atoms 1 mole oxygen atoms = 6.02 x 1023 oxygen atoms 1 mole sodium atoms = 6.02 x 1023 sodium atoms 1 mole carbon atoms = 6.02 x 1023 carbon atoms Daily life Chemistry
  • 5. Mole  SI unit used to measure the amount of a substance  equal to 6.02 x 1023 atoms, molecules, or particles  Avogadro’s number  Abbreviated by mol
  • 6. Avogadro’s Number  6.02 X 1023  Used to count extremely small particles  Named in honor of Italian physicist Amedeo Avogardo  Determined the volume of one mole of a gas
  • 8. Mole  Molecules, Atoms, or Particles  In order to convert moles to molecules atoms, or particles, you have to MULTIPLY the number of moles by Avogadro’s number (6.02 x 1023)  Example: How many atoms are there in 4.0 moles?
  • 9. How many atoms are there in 4.0 moles? Moles  Atoms…MULTIPLY BY AVOGADRO’S NUMBER 2.4 x 1024 atoms
  • 10. Molecules, Atoms, or Particles  Moles  In order to convert molecules, atoms, or particles to moles, you have to DIVIDE the number of moles by Avogadro’s number (6.02 x 1023)  Example: How many moles are there in 7.14 x 1023 molecules?
  • 11. How many moles are there in 7.14 x 1023 molecules? Molecules  Moles…DIVIDE BY AVOGADRO’S NUMBER 1.19 moles
  • 13. How many molecules are there in 3.5 moles? Moles  Molecules…MULTIPLY BY AVOGADRO’S NUMBER 2.11 x 1024 molecules
  • 14. How many particles are there in 9.6 moles? Moles  Particles…MULTIPLY BY AVOGADRO’S NUMBER 5.78 x 1024 particles
  • 15. How many moles are there in 5.75 x 1024 atoms? Atoms  Moles…DIVIDE BY AVOGADRO’S NUMBER 9.55 moles
  • 16. How many moles are there in 3.58 x 1023 particles? Molecules  Moles…DIVIDE BY AVOGADRO’S NUMBER 0.59 moles
  • 18. Molar Mass  the mass in grams of one mole of any pure substance  In other words, the molar mass of any element is equivalent to the atomic mass of that element  in units of grams per mole; g/mol
  • 19. Calculating Molar Mass  - To calculate the molar mass of a substance, you add the atomic mass of every element in the compound  The total atomic mass is the molar mass of the substance.
  • 20. Example What is the molar mass of N? Step 1: determine the atomic mass N: 14 Step 2: add units g/mol molar mass = 14 g/mol
  • 21. Example What is the molar mass of CO2? Step 1: determine the mass of each element C: 12 O: 16 X 2 Step 2: add the masses to get the total atomic mass 12+16+16=44 Step 3: add units g/mol Molar mass = 44 g/mol
  • 22. Practice  What is the molar mass of NaCl?  58.5 g/mol  What is the molar mass of H3O?  19 g/mol  What is the molar mass of H2SO4?  98 g/mol
  • 24. Review  Mole  SI unit used to measure the amount of a substance  Abbreviate by mol  Molar mass  total atomic mass of every element in the compound  Units: g/mol
  • 25. What is the molar mass of NH3?  Step 1: determine the mass of each element  N: 14  H:1 X 3  Step 2: total the masses  14+3=17  Step 3: attach the units  17g/mol
  • 26. Mole  Gram Conversions  When given the number of moles, MULTIPLY by the molar mass of the substance.  What is the mass of 5 moles of H2O?
  • 27. What is the mass of 5.O moles of H2O?  Step 1: Write the given  Step 2: Multiply by molar mass  Step 3: Cancel the units  Step 4: Solve 90 grams H2O
  • 28. Gram  Mole Conversions  When given the number of moles, DIVIDE by the molar mass of the substance.  How many moles are equivalent to 50g N?
  • 29. How many moles are equivalent to 50g N?  Step 1: Write the given  Step 2: Divide by the molar mass  Step 3: Cancel the units  Step 4: Solve 3.57 moles N
  • 31. What is the mass of …  2.22 mol Ti  106 g Ti  1.22 X 1023 mol Ag  1.32 X 1025 g Ag  4.5 mol H2SO4  441 g H2SO4
  • 32. How many moles are consumed in…  5.62 g Kr  0.0669 mol Kr  55 g As  0.73 mol As  7.5 g NaCl  0.128 mol NaCl
  • 33. Particles  Gram Conversions  Remember, particles, atoms, and molecules are all the same  To convert particles to grams…  1st: convert particles to moles  2nd: convert moles to grams
  • 34. Review  When converting from moles to atoms, molecules, or particles, you must MULTIPLY by Avogadro’s number.  When converting atoms, particles, or molecules to moles, you must DIVIDE by Avogadro’s number.
  • 35. What is the mass of 2.5 X 1023 atoms of H2O?  Step 1: convert atoms to moles  Step 2: convert moles to grams
  • 36. Grams  Particles Conversions  Once again, remember particles, atoms, and molecules are all the same  To convert grams to particles…  1st: grams to moles  2nd: convert moles to particles
  • 37. How many molecules are in 4.5 g C?  Step 1: Convert grams to moles  Step 2: Convert moles to molecules
  • 38. Practice  How many grams are in 5.0 X 1024 atoms of K?  What is the mass of 8.5 X 1023 molecules of NH2?  How many particles are in 3.75 g Ca?  How many molecules are in 96 g HBr2?