IB Chemistry Power Points


                             Topic 7
                          Equilibrium

www.pedagogics.ca




                    Topic 7.2
The Position of Equilibrium
Consider

      A +A
         B                       B+D
                                 C
   A reacts with B in a sealed flask.

   What happens to [A], [B], [C], and [D]?
The Position of Equilibrium

    A +A
       B                   B+D
                           C
As the reaction progresses
  – [A] & [B] decrease to constant values,
  – [C] & [D] increase from zero to
    constant values
  – When [A], [B], [C] and [D] are all
    constant values, equilibrium is
    achieved.
see simulation
3 scenarios for the reaction

 N2O4 (g)          2NO2 (g)




                              equilibrium
   equilibrium
                                                 equilibrium




  Start with NO2          Start with N2O4   Start with NO2 & N2O4
Data for these (and other) scenarios might look like




                    [NO2]2
             KC =            = 4.63 x 10-3
                    [N2O4]
The Equilibrium Constant
BIG IDEA : At a given temperature, no matter the
  starting composition of reactants and products, the
  same ratio of concentrations is achieved at
  equilibrium.

• For a general reaction


               aA       bB  cC             dD
The Equilibrium Constant

the equilibrium constant expression is
                                   c      d
                              [C ] [D]
                     KC           a   b
                              [ A] [B]
                   where Kc is the equilibrium constant
                    and is dependent on temperature.
Homogenous equilibrium applies to reactions in
which all reacting species are in the same phase.
                  N2O4 (g)            2NO2 (g)

                             [NO2]2
                      Kc =
                             [N2O4]

   CH3COOH (aq) + H2O (l)              CH3COO- (aq) + H3O+ (aq)


          [CH3COO-][H3O+]
    Kc‘ =                             [H2O] = does not change
          [CH3COOH][H2O]                      significantly so is
                                              omitted
                  [CH3COO-][H3O+]
             Kc =
                     [CH3COOH]
Practice – homogeneous equilibrium
• Write the equilibrium expressions for the
  following reactions:
          H2 (g) + I2 (g) Ý 2 HI (g)



         HF (aq) Ý H+ (aq) + F- (aq)
Practice – homogeneous equilibrium
• Write the equilibrium expressions for the
  following reactions:
          H2 (g) + I2 (g) Ý 2 HI (g)
                               2
                        [ HI ]
                 keq
                      [ H 2 ][ I 2 ]
         HF (aq) Ý H+ (aq) + F- (aq)
                       [ H ][ F ]
                 keq
                          [ HF ]
Practice:
The equilibrium concentrations for the reaction between
carbon monoxide and molecular chlorine to form COCl2 (g)
at 740C are [CO] = 0.012 M, [Cl2] = 0.054 M, and [COCl2] =
0.14 M. Calculate Kc
           CO (g) + Cl2 (g)       COCl2 (g)




                                                 220 M-1
Heterogenous equilibrium applies to reactions in which
reactants and products are in different phases.

              CaCO3 (s)          CaO (s) + CO2 (g)


             [CaO][CO2]          [CaCO3] = constant
       Kc‘ =                     [CaO] = constant
               [CaCO3]

                          Kc = [CO2]


 The concentration of solids and pure liquids do not
 change hence they are not included in the expression
 for the equilibrium constant.
CaCO3 (s)         CaO (s) + CO2 (g)




                    [CO2] = Kc

[CO2] does not depend on the amount of CaCO3 or CaO
Practice – heterogeneous equilibrium
• Write the equilibrium expression for the
  following reaction:
      PbCl2 (s) Ý Pb2+ (aq) + 2 Cl- (aq)
Practice – heterogeneous equilibrium
• Write the equilibrium expression for the
  following reaction:
      PbCl2 (s) Ý Pb2+ (aq) + 2 Cl- (aq)

              keq   [Pb2 ][Cl ]2
What does the Kc value mean?
Recall: for the reaction
               aA + bB        cC + dD

                     [C]c[D]d
                   K= a b
                     [A] [B]

Equilibrium Will

    K >> 1 Lie to the right     Favor products
    K << 1 Lie to the left      Favor reactants
Summary Writing Equilibrium Expressions

• The concentrations of the reacting species in the
  condensed phase are expressed in M (mol dm3) In
  the gaseous phase, the concentrations can be
  expressed in M or in atm.
• The concentrations of pure solids, pure liquids and
  other solvents do not appear in the equilibrium
  constant expressions.
• In quoting a value for the equilibrium constant, you
  must specify the balanced equation and the
  temperature.
7.2 Le Châtelier’s Principle

  Le Chatelier’s Principle: if you disturb an
  equilibrium, it will shift to undo the
  disturbance.

  Remember, in a system at equilibrium, the
  concentrations will always change to restore
  the same value for Kc (as long as there is a
  constant temperature).
Changes in Concentration




N2 (g) + 3 H2 (g)     2 NH3 (g)

Equilibrium
                    Add
shifts left to
                    NH3
offset stress
Le Châtelier’s Principle

• Changes in Concentration continued
                                       Add


                    aA + bB            cC + dD




              Change                    Shifts the Equilibrium
Increase concentration of product(s)             left
Le Châtelier’s Principle

• Changes in Concentration continued
                                       Remove

                   aA + bB             cC + dD




              Change                   Shifts the Equilibrium
Increase concentration of product(s)              left
Decrease concentration of product(s)             right
Le Châtelier’s Principle

• Changes in Concentration continued
                      Add


                    aA + bB             cC + dD




              Change                    Shifts the Equilibrium
Increase concentration of product(s)               left
Decrease concentration of product(s)              right
Increase concentration of reactant(s)             right
Le Châtelier’s Principle

• Changes in Concentration continued
                    Remove


                    aA + bB             cC + dD




              Change                    Shifts the Equilibrium
Increase concentration of product(s)               left
Decrease concentration of product(s)              right
Increase concentration of reactant(s)             right
Decrease concentration of reactant(s)              left
Le Châtelier’s Principle

Changes in Pressure

                 A (g) + B (g)         C (g)



        Change               Shifts the Equilibrium
    Decrease pressure      Side with most moles of gas
    Increase pressure      Side with fewest moles of gas
Le Châtelier’s Principle
 Changes in Temperature
              N2O4(g)    2 NO2(g) ΔH is +ive
     Change             Response
 Increase temperature forward reaction favored - remove heat
 Decrease temperature reverse reaction favored – absorb heat




Room temperature.
  NO2 is brown             colder             hotter
Le Châtelier’s Principle
 Changes in Temperature
              N2O4(g) + heat        2 NO2(g)
     Change             Response
 Increase temperature forward reaction favored - remove heat
 Decrease temperature reverse reaction favored – absorb heat




Room temperature.
  NO2 is brown             colder              hotter
Le Châtelier’s Principle
  ONLY changes in temperature affect Kc
              N2O4(g)     2 NO2(g) endothermic
     Change               Exothermic Rx    Endothermic Rx
 Increase temperature       K decreases        K increases
 Decrease temperature       K increases        K decreases




Room temperature.
  NO2 is brown              colder             hotter
Le Châtelier’s Principle
Catalysts
  • does not change the value of Kc
  • does not shift the position of an equilibrium system
  • system will reach equilibrium sooner




     uncatalyzed                     catalyzed

   Catalyst lowers Ea for both forward and reverse reactions.

Catalyst does not change equilibrium constant or shift equilibrium
Example
Example




a) shifts left to favor products

b) water vaporizes – shift right to favor reactants

c) shifts right to favor reactants

d) no effect (solids not part of equilibrium expression)
Chemistry In Action: The Haber Process – see fact sheet and video

           N2 (g) + 3H2 (g)    2NH3 (g) ΔH0 = -92.6 kJ/mol
Le Châtelier’s Principle (summary)

                                     Change Equilibrium
  Change         Shift Equilibrium       Constant
Concentration          yes                  no
  Pressure (g)         yes                  no
  Volume (g)           yes                  no
Temperature            yes                  yes
  Catalyst              no                  no

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2012 topic 7.2

  • 1. IB Chemistry Power Points Topic 7 Equilibrium www.pedagogics.ca Topic 7.2
  • 2. The Position of Equilibrium Consider A +A B B+D C A reacts with B in a sealed flask. What happens to [A], [B], [C], and [D]?
  • 3. The Position of Equilibrium A +A B B+D C As the reaction progresses – [A] & [B] decrease to constant values, – [C] & [D] increase from zero to constant values – When [A], [B], [C] and [D] are all constant values, equilibrium is achieved.
  • 4. see simulation 3 scenarios for the reaction N2O4 (g) 2NO2 (g) equilibrium equilibrium equilibrium Start with NO2 Start with N2O4 Start with NO2 & N2O4
  • 5. Data for these (and other) scenarios might look like [NO2]2 KC = = 4.63 x 10-3 [N2O4]
  • 6. The Equilibrium Constant BIG IDEA : At a given temperature, no matter the starting composition of reactants and products, the same ratio of concentrations is achieved at equilibrium. • For a general reaction aA bB  cC dD
  • 7. The Equilibrium Constant the equilibrium constant expression is c d [C ] [D] KC a b [ A] [B] where Kc is the equilibrium constant and is dependent on temperature.
  • 8. Homogenous equilibrium applies to reactions in which all reacting species are in the same phase. N2O4 (g) 2NO2 (g) [NO2]2 Kc = [N2O4] CH3COOH (aq) + H2O (l) CH3COO- (aq) + H3O+ (aq) [CH3COO-][H3O+] Kc‘ = [H2O] = does not change [CH3COOH][H2O] significantly so is omitted [CH3COO-][H3O+] Kc = [CH3COOH]
  • 9. Practice – homogeneous equilibrium • Write the equilibrium expressions for the following reactions: H2 (g) + I2 (g) Ý 2 HI (g) HF (aq) Ý H+ (aq) + F- (aq)
  • 10. Practice – homogeneous equilibrium • Write the equilibrium expressions for the following reactions: H2 (g) + I2 (g) Ý 2 HI (g) 2 [ HI ] keq [ H 2 ][ I 2 ] HF (aq) Ý H+ (aq) + F- (aq) [ H ][ F ] keq [ HF ]
  • 11. Practice: The equilibrium concentrations for the reaction between carbon monoxide and molecular chlorine to form COCl2 (g) at 740C are [CO] = 0.012 M, [Cl2] = 0.054 M, and [COCl2] = 0.14 M. Calculate Kc CO (g) + Cl2 (g) COCl2 (g) 220 M-1
  • 12. Heterogenous equilibrium applies to reactions in which reactants and products are in different phases. CaCO3 (s) CaO (s) + CO2 (g) [CaO][CO2] [CaCO3] = constant Kc‘ = [CaO] = constant [CaCO3] Kc = [CO2] The concentration of solids and pure liquids do not change hence they are not included in the expression for the equilibrium constant.
  • 13. CaCO3 (s) CaO (s) + CO2 (g) [CO2] = Kc [CO2] does not depend on the amount of CaCO3 or CaO
  • 14. Practice – heterogeneous equilibrium • Write the equilibrium expression for the following reaction: PbCl2 (s) Ý Pb2+ (aq) + 2 Cl- (aq)
  • 15. Practice – heterogeneous equilibrium • Write the equilibrium expression for the following reaction: PbCl2 (s) Ý Pb2+ (aq) + 2 Cl- (aq) keq [Pb2 ][Cl ]2
  • 16. What does the Kc value mean? Recall: for the reaction aA + bB cC + dD [C]c[D]d K= a b [A] [B] Equilibrium Will K >> 1 Lie to the right Favor products K << 1 Lie to the left Favor reactants
  • 17. Summary Writing Equilibrium Expressions • The concentrations of the reacting species in the condensed phase are expressed in M (mol dm3) In the gaseous phase, the concentrations can be expressed in M or in atm. • The concentrations of pure solids, pure liquids and other solvents do not appear in the equilibrium constant expressions. • In quoting a value for the equilibrium constant, you must specify the balanced equation and the temperature.
  • 18. 7.2 Le Châtelier’s Principle Le Chatelier’s Principle: if you disturb an equilibrium, it will shift to undo the disturbance. Remember, in a system at equilibrium, the concentrations will always change to restore the same value for Kc (as long as there is a constant temperature).
  • 19. Changes in Concentration N2 (g) + 3 H2 (g) 2 NH3 (g) Equilibrium Add shifts left to NH3 offset stress
  • 20. Le Châtelier’s Principle • Changes in Concentration continued Add aA + bB cC + dD Change Shifts the Equilibrium Increase concentration of product(s) left
  • 21. Le Châtelier’s Principle • Changes in Concentration continued Remove aA + bB cC + dD Change Shifts the Equilibrium Increase concentration of product(s) left Decrease concentration of product(s) right
  • 22. Le Châtelier’s Principle • Changes in Concentration continued Add aA + bB cC + dD Change Shifts the Equilibrium Increase concentration of product(s) left Decrease concentration of product(s) right Increase concentration of reactant(s) right
  • 23. Le Châtelier’s Principle • Changes in Concentration continued Remove aA + bB cC + dD Change Shifts the Equilibrium Increase concentration of product(s) left Decrease concentration of product(s) right Increase concentration of reactant(s) right Decrease concentration of reactant(s) left
  • 24. Le Châtelier’s Principle Changes in Pressure A (g) + B (g) C (g) Change Shifts the Equilibrium Decrease pressure Side with most moles of gas Increase pressure Side with fewest moles of gas
  • 25. Le Châtelier’s Principle Changes in Temperature N2O4(g) 2 NO2(g) ΔH is +ive Change Response Increase temperature forward reaction favored - remove heat Decrease temperature reverse reaction favored – absorb heat Room temperature. NO2 is brown colder hotter
  • 26. Le Châtelier’s Principle Changes in Temperature N2O4(g) + heat 2 NO2(g) Change Response Increase temperature forward reaction favored - remove heat Decrease temperature reverse reaction favored – absorb heat Room temperature. NO2 is brown colder hotter
  • 27. Le Châtelier’s Principle ONLY changes in temperature affect Kc N2O4(g) 2 NO2(g) endothermic Change Exothermic Rx Endothermic Rx Increase temperature K decreases K increases Decrease temperature K increases K decreases Room temperature. NO2 is brown colder hotter
  • 28. Le Châtelier’s Principle Catalysts • does not change the value of Kc • does not shift the position of an equilibrium system • system will reach equilibrium sooner uncatalyzed catalyzed Catalyst lowers Ea for both forward and reverse reactions. Catalyst does not change equilibrium constant or shift equilibrium
  • 30. Example a) shifts left to favor products b) water vaporizes – shift right to favor reactants c) shifts right to favor reactants d) no effect (solids not part of equilibrium expression)
  • 31. Chemistry In Action: The Haber Process – see fact sheet and video N2 (g) + 3H2 (g) 2NH3 (g) ΔH0 = -92.6 kJ/mol
  • 32. Le Châtelier’s Principle (summary) Change Equilibrium Change Shift Equilibrium Constant Concentration yes no Pressure (g) yes no Volume (g) yes no Temperature yes yes Catalyst no no