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STOICHIOMETRY
STOICHIOMETRY
                    1 molecule of O2

           2H2 + O2  2H2O
2 molecules of H2                    2 molecules of H2O

      Now that you know the mole…
                      1 mole of O2

           2H2 + O2  2H2O
  2 moles of H2                        2 moles of H2O
STOICHIOMETRY
                         1 mole of O2

             2H2 + O2  2H2O
    2 moles of H2                       2 moles of H2O

          Think of a reaction as a ratio…

     2 moles H2 : 1 mole O2 : 2 moles H2O
                    This is called a mole ratio

Multiply by 2 = 4 moles H2 : 2 mole O2 : 4 moles H2O
STOICHIOMETRY
      2 moles H2 : 1 mole O2 : 2 moles H2O
   How many molecules of water are formed
     when 3.5 moles of O2 react with H2?
= [2 moles H2 : 1 mole O2 : 2 moles H2O] x 3.5
= 7 moles H2 : 3.5 moles O2 : 7 moles H2O
 7 moles of water
N = n x NA
  = 7 mol water x 6.02x1023 molecules/mol
  = 4.21x1024 molecules of water

   Therefore 4.21x1024 molecules of water are formed.
STOICHIOMETRY
       C2H6 + O2  CO2 + H2O

A) How many moles of O2 are required to
react with 13.9mol of C2H6 (ethane)?

B)What volume of H2O would be produced
by 1.40 mol of O2 and sufficient ethane
STOICHIOMETRY
      C2H6 + O2  CO2 + H2O

Should always balance the equation first


   2C2H6 + 7O2  4CO2 + 6H2O
STOICHIOMETRY
           2C2H6 + 7O2  4CO2 + 6H2O
A) How many moles of O2 are required to react with 13.9mol of C2H6 (ethane)?
iven: mole ratio of C2H6:O2 = 2:7
      moles of C2H6 = 13.9mol

        2 mol C2H6             =     13.9 mol C2H6
         7 mol O2                          x
          0.2857               =     13.9
                                       x
                       x       =     13.9
                                    0.2857
                               =     48.6 mol of O2
          Therefore 48.6 mol of O2 are required
STOICHIOMETRY
            2C2H6 + 7O2  4CO2 + 6H2O
What volume of H2O would be produced by 1.40 mol of O2 and sufficient ethane

iven: mole ratio of O2:H2O = 7:6
      moles of O2 = 1.40mol

        6 mol H2O                 =             x
         7 mol O2                         1.40 mol O2
          0.8571                  =          x
                                           1.40
                         x        =       0.8571 x 1.40
                                  =       1.20 mol of H2O

           But the question asked for volume!!!
STOICHIOMETRY
            2C2H6 + 7O2  4CO2 + 6H2O
What volume of H2O would be produced by 1.40 mol of O2 and sufficient ethane

                    x        =        1.20 mol of H2O
   Given: n = 1.20 mol
          MH2O = 18.016 g/mol
            m=?
            m       =        nxM
                    =        1.20 mol x 18.016 g/mol
                    =        21.6 g
            1 gram of water = 1mL at room temperature

         Therefore the volume of water produced is 21.6mL
STOICHIOMETRY
General rules for solving problems…
STEP 1: Write a balanced chemical equation

STEP 2: If you’re given m or N of a substance, convert it
  to the number of moles
STEP 3: Calculate the number of moles of the required
  substance based on the number of moles of the given
  substance (using the appropriate mole ratio)
STEP 4: Convert the number of moles of the required
  substance to mass or number of particles, as directed
  by the question
STOICHIOMETRY


Passing chlorine gas through molten
sulfur produces liquid disulfur dichloride.
How many molecules of chlorine react to
produce 50.0g of disulfur dichloride?
STOICHIOMETRY
Passing chlorine gas through molten sulfur produces liquid
disulfur dichloride. How many molecules of chlorine react to
produce 50.0g of disulfur dichloride?

STEP 1: Write the balanced equation
2S + Cl2  S2Cl2
STEP 2: Convert the given mass of disulfur dichloride
to the number of moles

MS2Cl2 = 135.04g/mol

n     = m/M
      = 50.0g/135.04g/mol
      = 0.37026mol
STOICHIOMETRY
Passing chlorine gas through molten sulfur produces liquid
disulfur dichloride. How many molecules of chlorine react to
produce 50.0g of disulfur dichloride?

STEP 3: Calculate the number of moles of the required
substance using your mole ratio
2S + Cl2  S2Cl2
Given:        mole ratio of S2Cl2:Cl2 = 1:1

      1 mol S2Cl2           =       0.37026 mol S2Cl2
       1 mol Cl2                           x
                 x          =       0.37026 mol Cl2
STOICHIOMETRY
    Passing chlorine gas through molten sulfur produces liquid
    disulfur dichloride. How many molecules of chlorine react to
    produce 50.0g of disulfur dichloride?

STEP 4: Convert the number of moles of chlorine gas to the
number of particles

x = 0.37026 mol Cl2

N        =      n x NA
         =      0.37026mol x 6.02x1023 molecules/mol
         =      2.23 x 1023 molecules

Therefore the number of molecules of chlorine is 2.23 x 10 23
STOICHIOMETRY
THE LIMITING REACTANT…
STOICHIOMETRY
         THE LIMITING REACTANT…

     2C2H6 + 7O2  4CO2 + 6H2O
Normally, we assume that all reactants are
consumed in a reaction…

Reactants are said to be in stoichiometic
amounts when all reactants are consumed in
the ratios predicted
STOICHIOMETRY
        THE LIMITING REACTANT…
    2C2H6 + 7O2  4CO2 + 6H2O
But there are often reactants that remain
“unreacted”…

                           O2
           O2         O2
           O2
                           O2




                                     GAS
                GAS
STOICHIOMETRY
      THE LIMITING REACTANT…
Lithium nitride reacts with water to
form ammonia and lithium hydroxide.
If 4.87g of lithium nitride reacts with
5.80g of water, find the limiting
reactant.
STOICHIOMETRY
           THE LIMITING REACTANT…
   Lithium nitride reacts with water to
   form ammonia and lithium hydroxide.
   If 4.87g of lithium nitride reacts with
   5.80g of water, find the limiting
   reactant.
STEP 1: Write a balanced chemical equation


          Li3N + 3H2O  NH3 + 3LiOH
STOICHIOMETRY
                THE LIMITING REACTANT…
Lithium nitride reacts with water to form ammonia and lithium hydroxide.
If 4.87g of lithium nitride reacts with 5.80g of water, find the limiting
reactant.
 STEP 1: Write a balanced chemical equation
              Li3N + 3H2O  NH3 + 3LiOH
 STEP 2: Convert the given masses to the number of
 moles
 nLi3N = m/M
        = 4.87g/34.8g/mol
        = 0.140mol

 nH2O = m/M
        = 5.80g/18.0g/mol
        = 0.322mol
STOICHIOMETRY
                THE LIMITING REACTANT…
Lithium nitride reacts with water to form ammonia and lithium hydroxide.
If 4.87g of lithium nitride reacts with 5.80g of water, find the limiting
reactant.
              Li3N + 3H2O  NH3 + 3LiOH
nLi3N = 0.140mol
nH2O = 0.322mol
 STEP 3: Calculate the number of moles of NH3 produced
   by both amounts of reactants
      1 mol Li3N            =        0.140 mol Li3N
      1 mol NH3                             x
                     x      =       0.140 mol NH3
STOICHIOMETRY
                THE LIMITING REACTANT…
Lithium nitride reacts with water to form ammonia and lithium hydroxide.
If 4.87g of lithium nitride reacts with 5.80g of water, find the limiting
reactant.
              Li3N + 3H2O  NH3 + 3LiOH
nLi3N = 0.140mol
nH2O = 0.322mol
 STEP 3: Calculate the number of moles of NH3 produced
   by both amounts of reactants
      3 mol H2O             =        0.322 mol H2O
      1 mol NH3                             x
                     x      =       0.107 mol NH3
   5.80g water makes less ammonia than 4.87g lithium nitride
STOICHIOMETRY
                THE LIMITING REACTANT…
Lithium nitride reacts with water to form ammonia and lithium hydroxide.
If 4.87g of lithium nitride reacts with 5.80g of water, find the limiting
reactant.


               Li3N + 3H2O  NH3 + 3LiOH

          Therefore water is the limiting reactant
STOICHIOMETRY
          THE LIMITING REACTANT…

              P4 + O2  P4O10

  A 1.00g piece of phosphorus is burned in a
flask filled with 2.60x1023 molecules of oxygen
      gas. What mass of tetraphosphorus
             decaoxide is produced?
STOICHIOMETRY
                  THE LIMITING REACTANT…
A 1.00g piece of phosphorus is burned in a flask filled with 2.60x1023 molecules of
oxygen gas. What mass of tetraphosphorus decaoxide is produced?
STEP 1:                  P4 + 5O2  P4O10

STEP 2:             nP = 1.00g P4       no = 2.60x1023 molecules
                         123.9g/mol P4     6.02x1023molecules/mol
                         = 8.07x10-3 mol = 0.432 mol O2
                                                             LIMITING REACTANT

STEP 3:         Amount of P4O10 produced by P4 = 8.07x10-3 mol

                Amount of P4O10 produced by O2 = 0.432 ÷ 5
                                               = 8.64 x 10-2 mol
STOICHIOMETRY
                  THE LIMITING REACTANT…
A 1.00g piece of phosphorus is burned in a flask filled with 2.60x1023 molecules of
oxygen gas. What mass of tetraphosphorus decaoxide is produced?

Amount of P4O10 produced by P4 = 8.07x10-3 mol

m= n x M
 = 0.00807mol x 284g/mol P4O10
 = 2.29g P4O10

           Therefore 2.29g of P4O10 is produced.
STOICHIOMETRY
             THE LIMITING REACTANT…




empty case        battery       circuitry       iphone 4


    1        +       1      +       1             1
STOICHIOMETRY
             THE LIMITING REACTANT…




empty case        battery        circuitry            iphone 4

What if you were given…         Limiting ingredient

    3        +       6      +          1               1
                                                        ?

             How many iphones can you make?
STOICHIOMETRY
             THE LIMITING REACTANT…




empty case          battery                circuitry       iphone 4

What if you were given…
    101      +          64             +       97          64
                                                             ?
                 Limiting ingredient
             How many iphones can you make?

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17 stoichiometry

  • 2. STOICHIOMETRY 1 molecule of O2 2H2 + O2  2H2O 2 molecules of H2 2 molecules of H2O Now that you know the mole… 1 mole of O2 2H2 + O2  2H2O 2 moles of H2 2 moles of H2O
  • 3. STOICHIOMETRY 1 mole of O2 2H2 + O2  2H2O 2 moles of H2 2 moles of H2O Think of a reaction as a ratio… 2 moles H2 : 1 mole O2 : 2 moles H2O This is called a mole ratio Multiply by 2 = 4 moles H2 : 2 mole O2 : 4 moles H2O
  • 4. STOICHIOMETRY 2 moles H2 : 1 mole O2 : 2 moles H2O How many molecules of water are formed when 3.5 moles of O2 react with H2? = [2 moles H2 : 1 mole O2 : 2 moles H2O] x 3.5 = 7 moles H2 : 3.5 moles O2 : 7 moles H2O  7 moles of water N = n x NA = 7 mol water x 6.02x1023 molecules/mol = 4.21x1024 molecules of water Therefore 4.21x1024 molecules of water are formed.
  • 5. STOICHIOMETRY C2H6 + O2  CO2 + H2O A) How many moles of O2 are required to react with 13.9mol of C2H6 (ethane)? B)What volume of H2O would be produced by 1.40 mol of O2 and sufficient ethane
  • 6. STOICHIOMETRY C2H6 + O2  CO2 + H2O Should always balance the equation first 2C2H6 + 7O2  4CO2 + 6H2O
  • 7. STOICHIOMETRY 2C2H6 + 7O2  4CO2 + 6H2O A) How many moles of O2 are required to react with 13.9mol of C2H6 (ethane)? iven: mole ratio of C2H6:O2 = 2:7 moles of C2H6 = 13.9mol 2 mol C2H6 = 13.9 mol C2H6 7 mol O2 x 0.2857 = 13.9 x x = 13.9 0.2857 = 48.6 mol of O2 Therefore 48.6 mol of O2 are required
  • 8. STOICHIOMETRY 2C2H6 + 7O2  4CO2 + 6H2O What volume of H2O would be produced by 1.40 mol of O2 and sufficient ethane iven: mole ratio of O2:H2O = 7:6 moles of O2 = 1.40mol 6 mol H2O = x 7 mol O2 1.40 mol O2 0.8571 = x 1.40 x = 0.8571 x 1.40 = 1.20 mol of H2O But the question asked for volume!!!
  • 9. STOICHIOMETRY 2C2H6 + 7O2  4CO2 + 6H2O What volume of H2O would be produced by 1.40 mol of O2 and sufficient ethane x = 1.20 mol of H2O Given: n = 1.20 mol MH2O = 18.016 g/mol m=? m = nxM = 1.20 mol x 18.016 g/mol = 21.6 g 1 gram of water = 1mL at room temperature Therefore the volume of water produced is 21.6mL
  • 10. STOICHIOMETRY General rules for solving problems… STEP 1: Write a balanced chemical equation STEP 2: If you’re given m or N of a substance, convert it to the number of moles STEP 3: Calculate the number of moles of the required substance based on the number of moles of the given substance (using the appropriate mole ratio) STEP 4: Convert the number of moles of the required substance to mass or number of particles, as directed by the question
  • 11. STOICHIOMETRY Passing chlorine gas through molten sulfur produces liquid disulfur dichloride. How many molecules of chlorine react to produce 50.0g of disulfur dichloride?
  • 12. STOICHIOMETRY Passing chlorine gas through molten sulfur produces liquid disulfur dichloride. How many molecules of chlorine react to produce 50.0g of disulfur dichloride? STEP 1: Write the balanced equation 2S + Cl2  S2Cl2 STEP 2: Convert the given mass of disulfur dichloride to the number of moles MS2Cl2 = 135.04g/mol n = m/M = 50.0g/135.04g/mol = 0.37026mol
  • 13. STOICHIOMETRY Passing chlorine gas through molten sulfur produces liquid disulfur dichloride. How many molecules of chlorine react to produce 50.0g of disulfur dichloride? STEP 3: Calculate the number of moles of the required substance using your mole ratio 2S + Cl2  S2Cl2 Given: mole ratio of S2Cl2:Cl2 = 1:1 1 mol S2Cl2 = 0.37026 mol S2Cl2 1 mol Cl2 x x = 0.37026 mol Cl2
  • 14. STOICHIOMETRY Passing chlorine gas through molten sulfur produces liquid disulfur dichloride. How many molecules of chlorine react to produce 50.0g of disulfur dichloride? STEP 4: Convert the number of moles of chlorine gas to the number of particles x = 0.37026 mol Cl2 N = n x NA = 0.37026mol x 6.02x1023 molecules/mol = 2.23 x 1023 molecules Therefore the number of molecules of chlorine is 2.23 x 10 23
  • 16. STOICHIOMETRY THE LIMITING REACTANT… 2C2H6 + 7O2  4CO2 + 6H2O Normally, we assume that all reactants are consumed in a reaction… Reactants are said to be in stoichiometic amounts when all reactants are consumed in the ratios predicted
  • 17. STOICHIOMETRY THE LIMITING REACTANT… 2C2H6 + 7O2  4CO2 + 6H2O But there are often reactants that remain “unreacted”… O2 O2 O2 O2 O2 GAS GAS
  • 18. STOICHIOMETRY THE LIMITING REACTANT… Lithium nitride reacts with water to form ammonia and lithium hydroxide. If 4.87g of lithium nitride reacts with 5.80g of water, find the limiting reactant.
  • 19. STOICHIOMETRY THE LIMITING REACTANT… Lithium nitride reacts with water to form ammonia and lithium hydroxide. If 4.87g of lithium nitride reacts with 5.80g of water, find the limiting reactant. STEP 1: Write a balanced chemical equation Li3N + 3H2O  NH3 + 3LiOH
  • 20. STOICHIOMETRY THE LIMITING REACTANT… Lithium nitride reacts with water to form ammonia and lithium hydroxide. If 4.87g of lithium nitride reacts with 5.80g of water, find the limiting reactant. STEP 1: Write a balanced chemical equation Li3N + 3H2O  NH3 + 3LiOH STEP 2: Convert the given masses to the number of moles nLi3N = m/M = 4.87g/34.8g/mol = 0.140mol nH2O = m/M = 5.80g/18.0g/mol = 0.322mol
  • 21. STOICHIOMETRY THE LIMITING REACTANT… Lithium nitride reacts with water to form ammonia and lithium hydroxide. If 4.87g of lithium nitride reacts with 5.80g of water, find the limiting reactant. Li3N + 3H2O  NH3 + 3LiOH nLi3N = 0.140mol nH2O = 0.322mol STEP 3: Calculate the number of moles of NH3 produced by both amounts of reactants 1 mol Li3N = 0.140 mol Li3N 1 mol NH3 x x = 0.140 mol NH3
  • 22. STOICHIOMETRY THE LIMITING REACTANT… Lithium nitride reacts with water to form ammonia and lithium hydroxide. If 4.87g of lithium nitride reacts with 5.80g of water, find the limiting reactant. Li3N + 3H2O  NH3 + 3LiOH nLi3N = 0.140mol nH2O = 0.322mol STEP 3: Calculate the number of moles of NH3 produced by both amounts of reactants 3 mol H2O = 0.322 mol H2O 1 mol NH3 x x = 0.107 mol NH3 5.80g water makes less ammonia than 4.87g lithium nitride
  • 23. STOICHIOMETRY THE LIMITING REACTANT… Lithium nitride reacts with water to form ammonia and lithium hydroxide. If 4.87g of lithium nitride reacts with 5.80g of water, find the limiting reactant. Li3N + 3H2O  NH3 + 3LiOH Therefore water is the limiting reactant
  • 24. STOICHIOMETRY THE LIMITING REACTANT… P4 + O2  P4O10 A 1.00g piece of phosphorus is burned in a flask filled with 2.60x1023 molecules of oxygen gas. What mass of tetraphosphorus decaoxide is produced?
  • 25. STOICHIOMETRY THE LIMITING REACTANT… A 1.00g piece of phosphorus is burned in a flask filled with 2.60x1023 molecules of oxygen gas. What mass of tetraphosphorus decaoxide is produced? STEP 1: P4 + 5O2  P4O10 STEP 2: nP = 1.00g P4 no = 2.60x1023 molecules 123.9g/mol P4 6.02x1023molecules/mol = 8.07x10-3 mol = 0.432 mol O2 LIMITING REACTANT STEP 3: Amount of P4O10 produced by P4 = 8.07x10-3 mol Amount of P4O10 produced by O2 = 0.432 ÷ 5 = 8.64 x 10-2 mol
  • 26. STOICHIOMETRY THE LIMITING REACTANT… A 1.00g piece of phosphorus is burned in a flask filled with 2.60x1023 molecules of oxygen gas. What mass of tetraphosphorus decaoxide is produced? Amount of P4O10 produced by P4 = 8.07x10-3 mol m= n x M = 0.00807mol x 284g/mol P4O10 = 2.29g P4O10 Therefore 2.29g of P4O10 is produced.
  • 27. STOICHIOMETRY THE LIMITING REACTANT… empty case battery circuitry iphone 4 1 + 1 + 1  1
  • 28. STOICHIOMETRY THE LIMITING REACTANT… empty case battery circuitry iphone 4 What if you were given… Limiting ingredient 3 + 6 + 1  1 ? How many iphones can you make?
  • 29. STOICHIOMETRY THE LIMITING REACTANT… empty case battery circuitry iphone 4 What if you were given… 101 + 64 + 97  64 ? Limiting ingredient How many iphones can you make?

Editor's Notes

  1. http://www.youtube.com/watch?v=wyrFWbGiGOc