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Chapter

 18
“Reaction Rates and Equilibrium”
Section 18.1
                                    Rates of Reaction
OBJECTIVES
  • Describe how to express the rate of a chemical reaction.
  • Identify four factors that influence the rate of a chemical reaction.


Collision Theory

    •       Reactions can occur:
            • Very fast – such as a firecracker
            • Very slow – such as the time it took for dead plants to make coal
            • Moderately – such as food spoilage

        •    A “rate” is a measure of the speed of any change that occurs within an interval of
             time
        •    In chemistry, reaction rate is expressed as the amount of reactant changing per
             unit time. Example: 3 moles/year, or 5 grams/second

Collision Model

Key Idea: ______________________________________________________________

•   However, only a _____________________________________ of collisions produces
    a reaction. Why?
•   ____________________________________________________________________
    ____________________________________________________________________
    ____________________________________________________________________
    ___

•   Collisions must have enough energy to produce the reaction: must equal or exceed the
    “___________________________________________”, which is the minimum
    energy needed to react.

•   An “activated complex” is an unstable arrangement of atoms that forms momentarily
    (typically about 10-13 seconds) at the peak of the activation-energy barrier.
        • This is sometimes called the transition state
•   Results in either a) forming products, or b) reformation of reactants
        • Both outcomes are equally likely




                                                                                             2
Collision Model

•   The collision theory explains why some naturally occurring reactions are very slow
       o Carbon and oxygen react when charcoal burns, but this has a very high
           activation energy (C + O2(g) → CO2(g) + 393.5 kJ)
       o At room temperature, the collisions between carbon and oxygen are not
           enough to cause a reaction

Factors Affecting Rate

    1) Temperature:

    2) Surface Area:

    3) Concentration:

    4) Presence of Catalyst

Catalysts

•  Catalyst:
   ______________________________________________________________
_______________________________________________________________________
_



                                                                                         3
•   Enzyme:
    _____________________________________________________________
        • Human body temperature = 37o C, much too low for digestion reactions
            without catalysts.
•   Inhibitors – interfere with the action of a catalyst; reactions slow or even stop

Endothermic Reaction with a Catalyst




Exothermic Reaction with a Catalyst




                                                                                        4
Name _____________________________________________ Date ________________

                              19.1 Section Review
1. What is meant by the rate of chemical reaction?




2. How does each factor affect the rate of a chemical reaction?

a. Temperature

b. Concentration

c. surface area

d. an inhibitor


3. Does every collision between reacting particles lead to products? Explain.




4. Refrigerated foods stay fresh for long periods. The same food stored at room
   temperature quickly spoils. Why?




                                                                                  5
Section 18.2
                    Reversible Reactions and Equilibrium

OBJECTIVES
   Describe how the amounts of reactants and products change in a chemical system
     at equilibrium.
   Identify three stresses that can change the equilibrium position of a chemical
     system.
   Explain what the value of Keq indicates about the position of equilibrium.

Reversible Reactions

    Some reactions do not go to completion as we have assumed
         They may be __________________________________ – a reaction in
           which the conversion of reactants to products and the conversion of
           products to reactants occur simultaneously
    __________________________: 2SO2(g) + O2(g) → 2SO3(g)
    __________________________: 2SO2(g) + O2(g) ← 2SO3(g)

    The two equations can be combined into one, by using a
     _____________________________________, which tells us that it is a reversible
     reaction:
    2SO2(g) + O2(g) ↔ 2SO3(g)
    A chemical equilibrium occurs, and no net change occurs in the actual amounts of
     the components of the system.

    Even though the rates of the forward and reverse are equal, the
      ____________________________________ of components on both sides may
      not be equal
           An equlibrium position may be shown:
  A            B      or    A           B
   1%           99%             99%          1%
    Note the emphasis of the arrows direction
    It depends on which side is favored; almost all reactions are reversible to some
      extent

Le Chatelier’s Principle

    The French chemist Henri Le Chatelier (1850-1936) studied how the equilibrium
      position shifts as a result of changing conditions
    Le Chatelier’s principle: _____________________________________________
   ____________________________________________________________________


                                                                                        6
____________________________________________________________________



   What items did he consider to be stress on the equilibrium?
        1) Concentration
        2) Temperature
        3) Pressure
  • Concentration – ____________________________________________________
  ____________________________________________________________________
  ____________________________________________________________________
  ____________________________________________________________________
  ___

  • Temperature – _____________________________________________________
  ____________________________________________________________________
  ____________________________________________________________________
  ____________________________________________________________________
  ___
        • If heat is one of the products (just like a chemical), it is part of the
           equilibrium
        • so cooling an exothermic reaction will produce more product, and heating
           it would shift the reaction to the reactant side of the equilibrium: C +
           O2(g) → CO2(g) + 393.5 kJ

  •   Pressure – changes in pressure will only effect gaseous equilibria
          • ___________________________________________________________
              ___________________________________________________________
              __
                      N2(g) + 3H2(g) ↔ 2NH3(g)
  •   For every two molecules of ammonia made, four molecules of reactant are used
      up – this equilibrium ____________________________________ with an
      increase in pressure

Equilibrium Constants: Keq

  •   Chemists generally express the position of equilibrium in terms of numerical
      values, not just percent
           These values relate to the amounts (Molarity) of reactants and products at
              equilibrium
           This is called the ________________________________________, and
              abbreviated Keq

Equilibrium Constants




                                                                                         7
•   consider this reaction (the capital letters are the chemical, and the lower case
       letters are the balancing coefficient):
         aA + bB  cC + dD
             The equilibrium constant (Keq) is the ratio of product concentration to
                the reactant concentration at equilibrium, with each concentration
                raised to a power (which is the balancing coefficient).


   •   consider this reaction:
                        aA + bB  cC + dD
           Thus, the “equilibrium constant expression” has this general form:




(brackets: [ ] = molarity concentration)

   •   the equilibrium constants provide valuable information, such as whether products
       or reactants are favored:
 if Keq > 1, ____________________________ favored at equilibrium

 if Keq < 1, ____________________________ favored at equilibrium

Sample Problem: Expressing and Calculating Keq

The colorless gas dinitrogen tetroxide (N2O4) and the dark brown gas nitrogen dioxide
(NO2) exist in equilibrium with each other.

N2O4 ↔ 2NO2

A liter of gas mixture at equilibrium at 10 oC contains 0.0045 mol of N2O4 and 0.030 mol
of NO2. Write the expression for the equilibrium constant and calculate the equilibrium
constant (Keq) for the reaction




                                                                                          8
Name _____________________________________________ Date ________________

                          18-2 Section Review




                                                                       9
Section 18.4
                          Entropy and Free Energy
OBJECTIVES
   Identify two characteristics of spontaneous reactions.
   Describe the role of entropy in chemical reactions.
   Identify two factors that determine the spontaneity of a reaction.
   Define Gibbs free-energy change.

Free Energy and Spontaneous Reactions

    Many chemical and physical processes release energy, and that energy can be
     used to bring about other changes
         The energy in a chemical reaction can be harnessed to do work, such as
             moving the pistons in your car’s engine
    ___________________________ is energy that is available to do work
         That does not mean it can be used efficiently

    Your car’s engine is only about 30 % efficient, and this is used to propel it
         The remaining 70 % is lost as friction and waste heat
    No process can be made 100 % efficient
         Even living things, which are among the most efficient users of free
            energy, are seldom more than 70 % efficient

    We can only get energy from a reaction that actually occurs, not just theoretically:
                    CO2(g) → C(s) + O2(g)
        this is a balanced equation, and is the reverse of combustion
        Experience tells us this does not tend to occur, but instead happens in the
           reverse direction

    The world of balanced chemical equations is divided into two groups:
        1) Equations representing reactions that do actually occur
        2) Equations representing reactions that do not tend to occur, or at least not
           efficiently

    The first, (those that actually do occur, and the more important group) involves
     processes that are spontaneous:


                                                                                         10
1) A ____________________________________ occurs naturally, and
            favors the formation of products at the specified conditions
         2) They produce substantial amounts of product at equilibrium, and release
            free energy
         • Example: a fireworks display

   In contrast, a __________________________________ reaction is a reaction that
    does not favor the formation of products at the specified conditions
         These do not give substantial amounts of product at equilibrium
   Think of soda pop bubbling the CO2 out: this is spontaneous, whereas the CO2
    going back into solution happens very little, and is non-spontaneous

Spontaneous Reactions

   Do not confuse the words spontaneous and instantaneous. Spontaneous just
    simply means that it will work by itself, but does not say anything about how fast
    the reaction will take place – it may take 20 years to react, but it will eventually
    react.
         Some spontaneous reactions are very slow: sugar + oxygen → carbon
            dioxide and water, but a bowl of sugar appears to be doing nothing (it is
            reacting, but would take thousands of years)
         At room temperature, it is very slow; apply heat and the reaction is fast;
            thus changing the conditions (temp. or pressure) may determine whether
            or not it is spontaneous

Entropy (abbreviated “S”)
   Entropy____________________
    __________________________
    _____________, and is
    measured in units of J/mol.K;
    and there are no negative values
    of entropy




                                                                                      11
 The law of disorder states ____________________________________________
  ____________________________________________________________________
  __________________, not vice-versa
         Your room NEVER cleans itself does it? (disorder to order?)
   An increase in entropy favors the spontaneous chemical reaction
   A decrease in entropy favors the non-spontaneous reaction




Enthalpy and Entropy

  1) Reactions tend to proceed in the direction that
     ______________________________________________________ of the system
     (H, enthalpy).

  and,

  2) Reactions tend to proceed in the direction that
     _____________________________________________________ of the system
     (S, entropy).

   These are the two “drivers” to every equation.
        If they both AGREE the reaction should be spontaneous, IT WILL be
           spontaneous at all temperatures, and you will not be able to stop the
           reaction without separating the reactants
        If they both AGREE that the reaction should NOT be spontaneous, it will
           NOT work at ANY temperature, no matter how much you heat it, add
           pressure, or anything else!

   The size and direction of enthalpy and entropy changes both determine whether a
    reaction is spontaneous
   If the two drivers disagree on whether or not it should be spontaneous, a third
    party (Gibb’s free energy) is called in to act as the “judge” about what
    temperatures it will be spontaneous, and what the temp. is.


                                                                                 12
 But, it WILL work and be spontaneous at some temperature!

Spontaneity of Reactions

Reactions proceed spontaneously in the direction that lowers their Gibb’s free
energy, G.

∆G = ∆H - T∆S      (T is kelvin temp.)

If ∆G is ______________________________, the reaction is spontaneous. (system
loses free energy)

If ∆G is ______________________________, the reaction is NOT spontaneous.
(requires work be expended)

    Therefore, if the enthalpy and entropy do not agree with each other as to what
     should happen:
         Gibbs free-energy says that they are both correct, the reaction will occur
         But the Gibbs free-energy will decide the conditions of temperature that it
            will happen




                                                                                   13
Name ______________________________________ Date _______________________

                          18-4 Section Review




                                                                      14

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Chemistry - Chp 18 - Reaction Rates and Equilibrium - Notes

  • 1. Chapter 18 “Reaction Rates and Equilibrium”
  • 2. Section 18.1 Rates of Reaction OBJECTIVES • Describe how to express the rate of a chemical reaction. • Identify four factors that influence the rate of a chemical reaction. Collision Theory • Reactions can occur: • Very fast – such as a firecracker • Very slow – such as the time it took for dead plants to make coal • Moderately – such as food spoilage • A “rate” is a measure of the speed of any change that occurs within an interval of time • In chemistry, reaction rate is expressed as the amount of reactant changing per unit time. Example: 3 moles/year, or 5 grams/second Collision Model Key Idea: ______________________________________________________________ • However, only a _____________________________________ of collisions produces a reaction. Why? • ____________________________________________________________________ ____________________________________________________________________ ____________________________________________________________________ ___ • Collisions must have enough energy to produce the reaction: must equal or exceed the “___________________________________________”, which is the minimum energy needed to react. • An “activated complex” is an unstable arrangement of atoms that forms momentarily (typically about 10-13 seconds) at the peak of the activation-energy barrier. • This is sometimes called the transition state • Results in either a) forming products, or b) reformation of reactants • Both outcomes are equally likely 2
  • 3. Collision Model • The collision theory explains why some naturally occurring reactions are very slow o Carbon and oxygen react when charcoal burns, but this has a very high activation energy (C + O2(g) → CO2(g) + 393.5 kJ) o At room temperature, the collisions between carbon and oxygen are not enough to cause a reaction Factors Affecting Rate 1) Temperature: 2) Surface Area: 3) Concentration: 4) Presence of Catalyst Catalysts • Catalyst: ______________________________________________________________ _______________________________________________________________________ _ 3
  • 4. Enzyme: _____________________________________________________________ • Human body temperature = 37o C, much too low for digestion reactions without catalysts. • Inhibitors – interfere with the action of a catalyst; reactions slow or even stop Endothermic Reaction with a Catalyst Exothermic Reaction with a Catalyst 4
  • 5. Name _____________________________________________ Date ________________ 19.1 Section Review 1. What is meant by the rate of chemical reaction? 2. How does each factor affect the rate of a chemical reaction? a. Temperature b. Concentration c. surface area d. an inhibitor 3. Does every collision between reacting particles lead to products? Explain. 4. Refrigerated foods stay fresh for long periods. The same food stored at room temperature quickly spoils. Why? 5
  • 6. Section 18.2 Reversible Reactions and Equilibrium OBJECTIVES  Describe how the amounts of reactants and products change in a chemical system at equilibrium.  Identify three stresses that can change the equilibrium position of a chemical system.  Explain what the value of Keq indicates about the position of equilibrium. Reversible Reactions  Some reactions do not go to completion as we have assumed  They may be __________________________________ – a reaction in which the conversion of reactants to products and the conversion of products to reactants occur simultaneously  __________________________: 2SO2(g) + O2(g) → 2SO3(g)  __________________________: 2SO2(g) + O2(g) ← 2SO3(g)  The two equations can be combined into one, by using a _____________________________________, which tells us that it is a reversible reaction: 2SO2(g) + O2(g) ↔ 2SO3(g)  A chemical equilibrium occurs, and no net change occurs in the actual amounts of the components of the system.  Even though the rates of the forward and reverse are equal, the ____________________________________ of components on both sides may not be equal  An equlibrium position may be shown: A B or A B 1% 99% 99% 1%  Note the emphasis of the arrows direction  It depends on which side is favored; almost all reactions are reversible to some extent Le Chatelier’s Principle  The French chemist Henri Le Chatelier (1850-1936) studied how the equilibrium position shifts as a result of changing conditions  Le Chatelier’s principle: _____________________________________________ ____________________________________________________________________ 6
  • 7. ____________________________________________________________________  What items did he consider to be stress on the equilibrium? 1) Concentration 2) Temperature 3) Pressure • Concentration – ____________________________________________________ ____________________________________________________________________ ____________________________________________________________________ ____________________________________________________________________ ___ • Temperature – _____________________________________________________ ____________________________________________________________________ ____________________________________________________________________ ____________________________________________________________________ ___ • If heat is one of the products (just like a chemical), it is part of the equilibrium • so cooling an exothermic reaction will produce more product, and heating it would shift the reaction to the reactant side of the equilibrium: C + O2(g) → CO2(g) + 393.5 kJ • Pressure – changes in pressure will only effect gaseous equilibria • ___________________________________________________________ ___________________________________________________________ __ N2(g) + 3H2(g) ↔ 2NH3(g) • For every two molecules of ammonia made, four molecules of reactant are used up – this equilibrium ____________________________________ with an increase in pressure Equilibrium Constants: Keq • Chemists generally express the position of equilibrium in terms of numerical values, not just percent  These values relate to the amounts (Molarity) of reactants and products at equilibrium  This is called the ________________________________________, and abbreviated Keq Equilibrium Constants 7
  • 8. consider this reaction (the capital letters are the chemical, and the lower case letters are the balancing coefficient): aA + bB  cC + dD  The equilibrium constant (Keq) is the ratio of product concentration to the reactant concentration at equilibrium, with each concentration raised to a power (which is the balancing coefficient). • consider this reaction: aA + bB  cC + dD  Thus, the “equilibrium constant expression” has this general form: (brackets: [ ] = molarity concentration) • the equilibrium constants provide valuable information, such as whether products or reactants are favored: if Keq > 1, ____________________________ favored at equilibrium if Keq < 1, ____________________________ favored at equilibrium Sample Problem: Expressing and Calculating Keq The colorless gas dinitrogen tetroxide (N2O4) and the dark brown gas nitrogen dioxide (NO2) exist in equilibrium with each other. N2O4 ↔ 2NO2 A liter of gas mixture at equilibrium at 10 oC contains 0.0045 mol of N2O4 and 0.030 mol of NO2. Write the expression for the equilibrium constant and calculate the equilibrium constant (Keq) for the reaction 8
  • 9. Name _____________________________________________ Date ________________ 18-2 Section Review 9
  • 10. Section 18.4 Entropy and Free Energy OBJECTIVES  Identify two characteristics of spontaneous reactions.  Describe the role of entropy in chemical reactions.  Identify two factors that determine the spontaneity of a reaction.  Define Gibbs free-energy change. Free Energy and Spontaneous Reactions  Many chemical and physical processes release energy, and that energy can be used to bring about other changes  The energy in a chemical reaction can be harnessed to do work, such as moving the pistons in your car’s engine  ___________________________ is energy that is available to do work  That does not mean it can be used efficiently  Your car’s engine is only about 30 % efficient, and this is used to propel it  The remaining 70 % is lost as friction and waste heat  No process can be made 100 % efficient  Even living things, which are among the most efficient users of free energy, are seldom more than 70 % efficient  We can only get energy from a reaction that actually occurs, not just theoretically: CO2(g) → C(s) + O2(g)  this is a balanced equation, and is the reverse of combustion  Experience tells us this does not tend to occur, but instead happens in the reverse direction  The world of balanced chemical equations is divided into two groups: 1) Equations representing reactions that do actually occur 2) Equations representing reactions that do not tend to occur, or at least not efficiently  The first, (those that actually do occur, and the more important group) involves processes that are spontaneous: 10
  • 11. 1) A ____________________________________ occurs naturally, and favors the formation of products at the specified conditions 2) They produce substantial amounts of product at equilibrium, and release free energy • Example: a fireworks display  In contrast, a __________________________________ reaction is a reaction that does not favor the formation of products at the specified conditions  These do not give substantial amounts of product at equilibrium  Think of soda pop bubbling the CO2 out: this is spontaneous, whereas the CO2 going back into solution happens very little, and is non-spontaneous Spontaneous Reactions  Do not confuse the words spontaneous and instantaneous. Spontaneous just simply means that it will work by itself, but does not say anything about how fast the reaction will take place – it may take 20 years to react, but it will eventually react.  Some spontaneous reactions are very slow: sugar + oxygen → carbon dioxide and water, but a bowl of sugar appears to be doing nothing (it is reacting, but would take thousands of years)  At room temperature, it is very slow; apply heat and the reaction is fast; thus changing the conditions (temp. or pressure) may determine whether or not it is spontaneous Entropy (abbreviated “S”)  Entropy____________________ __________________________ _____________, and is measured in units of J/mol.K; and there are no negative values of entropy 11
  • 12.  The law of disorder states ____________________________________________ ____________________________________________________________________ __________________, not vice-versa  Your room NEVER cleans itself does it? (disorder to order?)  An increase in entropy favors the spontaneous chemical reaction  A decrease in entropy favors the non-spontaneous reaction Enthalpy and Entropy 1) Reactions tend to proceed in the direction that ______________________________________________________ of the system (H, enthalpy). and, 2) Reactions tend to proceed in the direction that _____________________________________________________ of the system (S, entropy).  These are the two “drivers” to every equation.  If they both AGREE the reaction should be spontaneous, IT WILL be spontaneous at all temperatures, and you will not be able to stop the reaction without separating the reactants  If they both AGREE that the reaction should NOT be spontaneous, it will NOT work at ANY temperature, no matter how much you heat it, add pressure, or anything else!  The size and direction of enthalpy and entropy changes both determine whether a reaction is spontaneous  If the two drivers disagree on whether or not it should be spontaneous, a third party (Gibb’s free energy) is called in to act as the “judge” about what temperatures it will be spontaneous, and what the temp. is. 12
  • 13.  But, it WILL work and be spontaneous at some temperature! Spontaneity of Reactions Reactions proceed spontaneously in the direction that lowers their Gibb’s free energy, G. ∆G = ∆H - T∆S (T is kelvin temp.) If ∆G is ______________________________, the reaction is spontaneous. (system loses free energy) If ∆G is ______________________________, the reaction is NOT spontaneous. (requires work be expended)  Therefore, if the enthalpy and entropy do not agree with each other as to what should happen:  Gibbs free-energy says that they are both correct, the reaction will occur  But the Gibbs free-energy will decide the conditions of temperature that it will happen 13
  • 14. Name ______________________________________ Date _______________________ 18-4 Section Review 14