Using the mole for… CONVERSIONS
CONVERSIONS Must use the molar mass Can go from: # of atoms/molecules   to   moles Moles  to  # of atoms/molecules moles   to   grams grams  to  moles
SHORTCUTS for CONVERSIONS Moles to atom/molecules moles times 6.022 x 10 23 Atom/molecules to moles # of atoms or molecules divided by 6.022 x 10 23 Moles to grams moles times molar mass Grams to moles grams divided by molar mass
mole  island atom island gram  island liter  island Divide by 22.4L Mult by 22.4L Divide by molar mass Mult by molar mass divide by 6.022 x 10 23 Mult by 6.022 x 10 23
Mole GRAMS LITERS # of atoms Divide by 6.022 x 10  23 X by 6.022 x 10 23 X by 22.4 liters Divide by 22.4 liters Divide by  molar mass X by molar mass
Sample problems How many atoms of copper are found in 1.34 moles of copper? We are on mole island, need to get to atoms island. Multiply moles by 6.022 x 10 23 1.34 x 6.022 x 10 23  =  8.07 x 10 23  atoms of copper
How many moles does 1.23 x 10 23  molecules of CaCl 2  represent? we are on atom/molecule island, need to get to mole island. divide # of molecules by 6.022 x 10 23 1.23 x 10 23  / 6.022 x 10 23  =  .20 moles of CaCl 2
How many grams are in 3.4 moles of I 2 ? We are on mole island, need to get to grams island. multiply # of moles by the molar mass 3.4 x 253.8 =  862.92 grams of I 2
How many moles does 134.7 grams of H 2 SO 4  equal? We are on gram island, need to get to mole island. divide # of grams by the molar mass 134.7 / 98.08 =  1.37 moles of H 2 SO 4
How much does 7.12 x 10 24  molecules of H 2 O weigh in grams? We are on atoms/molecules island, need to get to gram island. divide # of molecules by 6.022 x 10 23 then multiply by the molar mass (7.12 x 10 24 /6.022 x 10 23 ) x 18.02 =  213.06 grams of water
HOMEWORK 1. How many moles are found in a sample containing 6.02 x 10 24  atoms? 2. If you have 1.28 x 10 22  molecules of HCl, how many moles do you have? 3. 3.5 moles of gold would have how many atoms? 4. If you had 12.3 moles of baking soda, how many molecules would it contain? 5. A sample of NaCl weighing 1.25 grams contains how many molecules?
MORE HOMEWORK 6. Calculate the number of moles in a 15.3 gram sample of barium hydroxide. 7. How many grams does 0.14 moles of silver nitrate equal? 8. If you had 2.3 grams of aluminum, how many atoms would it contain? 9. If you had 3.4 x 10 34  atoms of tungsten(V) arsenate, how many moles would you have? How many grams?

Mole calculations

  • 1.
    Using the molefor… CONVERSIONS
  • 2.
    CONVERSIONS Must usethe molar mass Can go from: # of atoms/molecules to moles Moles to # of atoms/molecules moles to grams grams to moles
  • 3.
    SHORTCUTS for CONVERSIONSMoles to atom/molecules moles times 6.022 x 10 23 Atom/molecules to moles # of atoms or molecules divided by 6.022 x 10 23 Moles to grams moles times molar mass Grams to moles grams divided by molar mass
  • 4.
    mole islandatom island gram island liter island Divide by 22.4L Mult by 22.4L Divide by molar mass Mult by molar mass divide by 6.022 x 10 23 Mult by 6.022 x 10 23
  • 5.
    Mole GRAMS LITERS# of atoms Divide by 6.022 x 10 23 X by 6.022 x 10 23 X by 22.4 liters Divide by 22.4 liters Divide by molar mass X by molar mass
  • 6.
    Sample problems Howmany atoms of copper are found in 1.34 moles of copper? We are on mole island, need to get to atoms island. Multiply moles by 6.022 x 10 23 1.34 x 6.022 x 10 23 = 8.07 x 10 23 atoms of copper
  • 7.
    How many molesdoes 1.23 x 10 23 molecules of CaCl 2 represent? we are on atom/molecule island, need to get to mole island. divide # of molecules by 6.022 x 10 23 1.23 x 10 23 / 6.022 x 10 23 = .20 moles of CaCl 2
  • 8.
    How many gramsare in 3.4 moles of I 2 ? We are on mole island, need to get to grams island. multiply # of moles by the molar mass 3.4 x 253.8 = 862.92 grams of I 2
  • 9.
    How many molesdoes 134.7 grams of H 2 SO 4 equal? We are on gram island, need to get to mole island. divide # of grams by the molar mass 134.7 / 98.08 = 1.37 moles of H 2 SO 4
  • 10.
    How much does7.12 x 10 24 molecules of H 2 O weigh in grams? We are on atoms/molecules island, need to get to gram island. divide # of molecules by 6.022 x 10 23 then multiply by the molar mass (7.12 x 10 24 /6.022 x 10 23 ) x 18.02 = 213.06 grams of water
  • 11.
    HOMEWORK 1. Howmany moles are found in a sample containing 6.02 x 10 24 atoms? 2. If you have 1.28 x 10 22 molecules of HCl, how many moles do you have? 3. 3.5 moles of gold would have how many atoms? 4. If you had 12.3 moles of baking soda, how many molecules would it contain? 5. A sample of NaCl weighing 1.25 grams contains how many molecules?
  • 12.
    MORE HOMEWORK 6.Calculate the number of moles in a 15.3 gram sample of barium hydroxide. 7. How many grams does 0.14 moles of silver nitrate equal? 8. If you had 2.3 grams of aluminum, how many atoms would it contain? 9. If you had 3.4 x 10 34 atoms of tungsten(V) arsenate, how many moles would you have? How many grams?