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Chemistry Unit 9
 Chemists  use the mole to count
  atoms, molecules, ions and formula units.
 A mole always contains the same number of
  particles, however, moles of different
  substances have different masses.
 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.
 A molecular formula of a compound is a whole-
  number multiple of its empirical formula
 Explain how a mole is used to indirectly
  count the number of particles of matter.
 Relate the mole to a common everyday
  counting unit.
 Convert between moles and number of
  representative particles.
The mole is the SI base unit for measure of
  amount of a substance: 6.0221367 x 1023
 The number of carbon atoms in exactly 12 g
  of pure carbon-12.
 Called Avogadro’s number – Italian physicist
  who in 1811, determined the volume of 1
  mol of gas.
 By mass, we can determine the number of
  particles (atoms, molecules) in a sample.
 We typically round to 3 sig figs – 6.02 x 1023
The mole is a number. What other unit is used
in a similar manner?

A  dozen flowers, doughnuts or eggs.
 A baker’s dozen of cookies or bagels.
 A pair of socks or friends


If you have a dozen flowers and a dozen
eggs, do they weigh the same?
In order to convert between moles and number
  of particles we need to use this ratio of
  equivalent values (conversion factor) to
  express the same quantity in different units.
How many particles are in 3.5 mols?




How many moles of atoms are in 9.63 x 1026
 atoms?
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
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
 Page   322 #1-4; page 324 #5-14
 Relatethe mass of an atom to the mass of a
  mole of atoms.
 Convert between number of moles and the
  mass of an element.
 Convert between number of moles and
  number of atoms of an element.
Molar mass is the mass in grams of one mole of
  any pure substance.
 Units are given in g/mol
 Mass of the periodic table is given in amu,
  but also g/mol
If I need 3 mols of Cu, how do I measure the
   amount?




I measured 5.0g of Iron, how many atoms do I
have?
   moles grams
         x      = grams
           mole
 grams x moles = moles
           gram
How many atoms of gold are in a U.S. Eagle
 bullion coin with a mass of 31.1g?




How much does 5.8 x 1015 atoms of lead weigh?
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
Molar mass is used to convert what?
A. mass to moles
B. moles to mass
C. atomic weight
D. particles
 Page 328 #15-16; page 329 #17-18
 Page 331 #19-21; page 332 #22-27
 Recognize  the mole relationships shown by a
  chemical formula
 Calculate the molar mass of a compound.
 Convert between 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
Steps to calculate molar mass:
1. Count the number of atoms in each
   molecule.
2. Find the molar mass of each atom.
3. Multiply the molar mass of each atom to
   the number of atoms in a compound.
4. Add the total molar masses together.
Find the molar mass of the following
compounds/molecules.
 H2 O




 NaCl




 H2SO4
 Al2O3




 Fe2(SO4)3




 CCl2F2
To determine the number of atoms or ions in a
  known mass of a compound
1. Find the molar mass of the compound.
2. Use molar mass and the mole as conversion
   factors to get the units needed.
What is the mass of 2.5 mols of (C3H5)2 S?
Calculate the number of moles of Ca(OH)2 in
325g of the compound?
How many atoms are in 212g of water?
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
How many particles of Mg are in 10 moles of
  MgBr2?
A. 6.02 x 1023
B. 6.02 x 1024
C. 1.20 x 1024
D. 1.20 x 1025
 Page335 #29-36; page 336 #37-41; page 339
 #42-46
 Explain what is meant by the percent
  composition of a compound.
 Determine the empirical and molecular
  formulas for a compound from percent and
  actual mass data.
 Explain what a hydrate is and relate the
  name of the hydrate to its composition.
 Determine the formula of a hydrate from
  laboratory data.
The percent composition is a percent by mass
 of each element in a compound.

Steps to determine percent composition of a
  compound:
1. Assume 1 mole of a compound.
2. Calculate molar mass of each element in
   the compound.
3. Use each element’s molar mass to calculate
   percent by mass.
Percent by mass is a description of the amount
  of an element in a compound.
 Percent by mass =


             æ mass of 1 mole of element ö
     %mass = ç
             è molar mass of compound ÷  ø
What is the percent by mass of each element
in NaHCO3?
The empirical formula is the smallest whole
  number ratio of elements in a compound
 This ratio provides the subscripts for the
  elements.
 May or may not be the same as the actual
  molecular formula.
  If they are different the molecular formula will
   be a simple multiple of the empirical formula.
  Hydrogen peroxide: HO- empirical formula
 H2O2 – actual formula (molecular formula)
Steps to figure empirical formula from percent
  composition:
1. Assume an overall 100g sample of the compound.
2. Each element’s percentage can be used as mass
   in calculations.
3. Use this ‘mass’ to convert to moles. This
   provides a ‘mole ratio’ for the compound.
 Sincethese mole ratios are not whole
 numbers, we convert them to whole numbers
 what can be used as subscripts by dividing
 them all by the smallest ratio. (We assume
 the smallest mole ratio is a 1 in the
 compound)
A compound has the following mass percentages:
  C – 48.64%, H – 8.16%, O – 43.20%
What is the empirical formula for this molecule?
The molecular formula specifies the actual
 number of atoms of each element in one
 molecule/formula unit of the substance.
Steps to determine the molecular formula:
1. Determine the molar mass of the empirical
   formula.
2. Determine the molar mass of the actual
   compound. (might be given to you)
3. Divide the molar mass of the actual
   compound by the molar mass of the
   empirical formula
4. Multiply all subscripts of the empirical
   formula by this molar mass ratio.
The mass of benzene has been experimentally
 determined to be 78.12 g. We know that
 benzene is 92 % C by mass and 8 % H by mass.
 What is the molecular formula of benzene?
 Page 344 #54-57
 Page 348 #58-61
 Page 350 #62-66
Hydrates are solid ionic compounds in which
  water molecules are trapped.
 Hydrates are formed when water molecules
  adhere to the ions as the solid forms.
 Water molecules become a part of the
  crystal solid structure.
 The number of water molecules associated
  with each molecule is written following a dot
  after the molecular formula:
    Na2CO310H2O
 Names  of these compounds are named with a
 prefix representing the number of water
 molecules and the word hydrate.
    Na2CO3  10H2O – sodium carbonate decahydrate
    Prefixes are the same as the ones used in naming
     covalent molecules
An anhydrous is a compound without water.
 When a hydrate is heated, water molecules
  are driven off leaving the compound.
Steps to determining the formula of a hydrate:
1. Determine the initial mass of the compound
   prior to heating.
2. Determine the final mass of the compound
   after heating.
3. The final mass is used to determine the
   number of moles of the anhydrous
   compound. Grams to moles
4.   Calculate the difference of the initial mass
     and the final mass and use this mass to
     determine number of moles of water, grams
     to moles
5.   Number of hydrates per compound
     molecule (molar ratio – hydrate: anhydrous)
     = moles of H2O/moles of compound

                           moles of H2O
              # H 2O =
                         moles of compound
A mass of 2.50 g of blue, hydrated copper
  sulfate (CuSO4) ?H2O) is place in a crucible
  and heated. After heating, 1.59g of white
  anhydrous copper sulfate (CuSO4) remains.
  What is the formula for the hydrate? Name
  the hydrate.
What is the empirical formula for the
  compound C6H12O6?
A. CHO
B. C2H3O2
C. CH2O
D. CH3O
Which is the empirical formula for hydrogen
  peroxide?
A. H2O2
B. H2O
C. HO
D. none of the above
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.
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
 Page   353 #74-75; page 354 #76-82
 Howdoes the mole apply to balanced
 equations?
How many grams of each reactant are needed
to run the following reaction? How many
grams of each product are produced? (Hint:
complete, balance, convert)
 CuSO45H2O(aq) + CaCl2(aq) 
From the reaction above, how much is needed of
each reactant in the net ionic equation to
produce the balanced amount of the precipitate?
How much precipitate is produced?
 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.
 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.
   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.
   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.
   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.
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
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
How many moles of hydrogen atoms are in one
  mole of H2O2?
A. 1
B. 2
C. 3
D. 0.5
What is the empirical formula of Al2Br3?
A. AlBr
B. AlBr3
C. Al2Br
D. Al2Br3
What is an ionic solid with trapped water
  molecules called?
A. aqueous solution
B. anhydrous compound
C. hydrate
D. solute
How many water molecules are associated with
  3.0 mol of CoCl2 • 6H2O?
A. 18
B. 1.1 1025
C. 3.6 1024
D. 1.8 1024
How many moles of Al are in 2.0 mol of Al2Br3?
A. 2
B. 4
C. 6
D. 1
How many atoms of hydrogen are in
  3.5 mol of H2S?
A. 7.0 1023
B. 2.1 1023
C. 6.0 1023
D. 4.2 1024
Which is not the correct formula for an ionic
  compound?
A. CO2
B. NaCl
C. Na2SO4
D. LiBr2

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Chemistry unit 9 presentation

  • 2.  Chemists use the mole to count atoms, molecules, ions and formula units.  A mole always contains the same number of particles, however, moles of different substances have different masses.  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.  A molecular formula of a compound is a whole- number multiple of its empirical formula
  • 3.
  • 4.  Explain how a mole is used to indirectly count the number of particles of matter.  Relate the mole to a common everyday counting unit.  Convert between moles and number of representative particles.
  • 5. The mole is the SI base unit for measure of amount of a substance: 6.0221367 x 1023  The number of carbon atoms in exactly 12 g of pure carbon-12.  Called Avogadro’s number – Italian physicist who in 1811, determined the volume of 1 mol of gas.  By mass, we can determine the number of particles (atoms, molecules) in a sample.  We typically round to 3 sig figs – 6.02 x 1023
  • 6. The mole is a number. What other unit is used in a similar manner? A dozen flowers, doughnuts or eggs.  A baker’s dozen of cookies or bagels.  A pair of socks or friends If you have a dozen flowers and a dozen eggs, do they weigh the same?
  • 7. In order to convert between moles and number of particles we need to use this ratio of equivalent values (conversion factor) to express the same quantity in different units.
  • 8. How many particles are in 3.5 mols? How many moles of atoms are in 9.63 x 1026 atoms?
  • 9. 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
  • 10. 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
  • 11.  Page 322 #1-4; page 324 #5-14
  • 12.
  • 13.  Relatethe mass of an atom to the mass of a mole of atoms.  Convert between number of moles and the mass of an element.  Convert between number of moles and number of atoms of an element.
  • 14. Molar mass is the mass in grams of one mole of any pure substance.  Units are given in g/mol  Mass of the periodic table is given in amu, but also g/mol
  • 15. If I need 3 mols of Cu, how do I measure the amount? I measured 5.0g of Iron, how many atoms do I have?
  • 16. moles grams x = grams mole  grams x moles = moles gram
  • 17. How many atoms of gold are in a U.S. Eagle bullion coin with a mass of 31.1g? How much does 5.8 x 1015 atoms of lead weigh?
  • 18. 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
  • 19. Molar mass is used to convert what? A. mass to moles B. moles to mass C. atomic weight D. particles
  • 20.  Page 328 #15-16; page 329 #17-18  Page 331 #19-21; page 332 #22-27
  • 21.
  • 22.  Recognize the mole relationships shown by a chemical formula  Calculate the molar mass of a compound.  Convert between 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
  • 23. Steps to calculate molar mass: 1. Count the number of atoms in each molecule. 2. Find the molar mass of each atom. 3. Multiply the molar mass of each atom to the number of atoms in a compound. 4. Add the total molar masses together.
  • 24. Find the molar mass of the following compounds/molecules.  H2 O  NaCl  H2SO4
  • 26. To determine the number of atoms or ions in a known mass of a compound 1. Find the molar mass of the compound. 2. Use molar mass and the mole as conversion factors to get the units needed.
  • 27. What is the mass of 2.5 mols of (C3H5)2 S?
  • 28. Calculate the number of moles of Ca(OH)2 in 325g of the compound?
  • 29. How many atoms are in 212g of water?
  • 30. 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
  • 31. How many particles of Mg are in 10 moles of MgBr2? A. 6.02 x 1023 B. 6.02 x 1024 C. 1.20 x 1024 D. 1.20 x 1025
  • 32.  Page335 #29-36; page 336 #37-41; page 339 #42-46
  • 33.
  • 34.  Explain what is meant by the percent composition of a compound.  Determine the empirical and molecular formulas for a compound from percent and actual mass data.  Explain what a hydrate is and relate the name of the hydrate to its composition.  Determine the formula of a hydrate from laboratory data.
  • 35. The percent composition is a percent by mass of each element in a compound. Steps to determine percent composition of a compound: 1. Assume 1 mole of a compound. 2. Calculate molar mass of each element in the compound. 3. Use each element’s molar mass to calculate percent by mass.
  • 36. Percent by mass is a description of the amount of an element in a compound.  Percent by mass = æ mass of 1 mole of element ö %mass = ç è molar mass of compound ÷ ø
  • 37. What is the percent by mass of each element in NaHCO3?
  • 38. The empirical formula is the smallest whole number ratio of elements in a compound  This ratio provides the subscripts for the elements.  May or may not be the same as the actual molecular formula.  If they are different the molecular formula will be a simple multiple of the empirical formula.  Hydrogen peroxide: HO- empirical formula H2O2 – actual formula (molecular formula)
  • 39. Steps to figure empirical formula from percent composition: 1. Assume an overall 100g sample of the compound. 2. Each element’s percentage can be used as mass in calculations. 3. Use this ‘mass’ to convert to moles. This provides a ‘mole ratio’ for the compound.
  • 40.  Sincethese mole ratios are not whole numbers, we convert them to whole numbers what can be used as subscripts by dividing them all by the smallest ratio. (We assume the smallest mole ratio is a 1 in the compound)
  • 41. A compound has the following mass percentages: C – 48.64%, H – 8.16%, O – 43.20% What is the empirical formula for this molecule?
  • 42. The molecular formula specifies the actual number of atoms of each element in one molecule/formula unit of the substance.
  • 43. Steps to determine the molecular formula: 1. Determine the molar mass of the empirical formula. 2. Determine the molar mass of the actual compound. (might be given to you) 3. Divide the molar mass of the actual compound by the molar mass of the empirical formula 4. Multiply all subscripts of the empirical formula by this molar mass ratio.
  • 44.
  • 45. The mass of benzene has been experimentally determined to be 78.12 g. We know that benzene is 92 % C by mass and 8 % H by mass. What is the molecular formula of benzene?
  • 46.  Page 344 #54-57  Page 348 #58-61  Page 350 #62-66
  • 47. Hydrates are solid ionic compounds in which water molecules are trapped.  Hydrates are formed when water molecules adhere to the ions as the solid forms.  Water molecules become a part of the crystal solid structure.  The number of water molecules associated with each molecule is written following a dot after the molecular formula:  Na2CO310H2O
  • 48.  Names of these compounds are named with a prefix representing the number of water molecules and the word hydrate.  Na2CO3  10H2O – sodium carbonate decahydrate  Prefixes are the same as the ones used in naming covalent molecules
  • 49.
  • 50. An anhydrous is a compound without water.  When a hydrate is heated, water molecules are driven off leaving the compound.
  • 51. Steps to determining the formula of a hydrate: 1. Determine the initial mass of the compound prior to heating. 2. Determine the final mass of the compound after heating. 3. The final mass is used to determine the number of moles of the anhydrous compound. Grams to moles
  • 52. 4. Calculate the difference of the initial mass and the final mass and use this mass to determine number of moles of water, grams to moles 5. Number of hydrates per compound molecule (molar ratio – hydrate: anhydrous) = moles of H2O/moles of compound moles of H2O # H 2O = moles of compound
  • 53. A mass of 2.50 g of blue, hydrated copper sulfate (CuSO4) ?H2O) is place in a crucible and heated. After heating, 1.59g of white anhydrous copper sulfate (CuSO4) remains. What is the formula for the hydrate? Name the hydrate.
  • 54. What is the empirical formula for the compound C6H12O6? A. CHO B. C2H3O2 C. CH2O D. CH3O
  • 55. Which is the empirical formula for hydrogen peroxide? A. H2O2 B. H2O C. HO D. none of the above
  • 56. 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.
  • 57. 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
  • 58.  Page 353 #74-75; page 354 #76-82
  • 59.
  • 60.  Howdoes the mole apply to balanced equations?
  • 61. How many grams of each reactant are needed to run the following reaction? How many grams of each product are produced? (Hint: complete, balance, convert)  CuSO45H2O(aq) + CaCl2(aq) 
  • 62. From the reaction above, how much is needed of each reactant in the net ionic equation to produce the balanced amount of the precipitate? How much precipitate is produced?
  • 63.
  • 64.  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.
  • 65.  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.  The mass in grams of 1 mol of any pure substance is called its molar mass.
  • 66. 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.
  • 67. 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.
  • 68. 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.
  • 69. 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.
  • 70. 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
  • 71. 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
  • 72. How many moles of hydrogen atoms are in one mole of H2O2? A. 1 B. 2 C. 3 D. 0.5
  • 73. What is the empirical formula of Al2Br3? A. AlBr B. AlBr3 C. Al2Br D. Al2Br3
  • 74. What is an ionic solid with trapped water molecules called? A. aqueous solution B. anhydrous compound C. hydrate D. solute
  • 75. How many water molecules are associated with 3.0 mol of CoCl2 • 6H2O? A. 18 B. 1.1 1025 C. 3.6 1024 D. 1.8 1024
  • 76. How many moles of Al are in 2.0 mol of Al2Br3? A. 2 B. 4 C. 6 D. 1
  • 77. How many atoms of hydrogen are in 3.5 mol of H2S? A. 7.0 1023 B. 2.1 1023 C. 6.0 1023 D. 4.2 1024
  • 78. Which is not the correct formula for an ionic compound? A. CO2 B. NaCl C. Na2SO4 D. LiBr2