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Chapter 6 - Rates of Chemical Reactions

Chapter 6.1: Expressing and Measuring Reaction Rates

  • Reaction rate: change in the number of reactants or products over time

    • Rate of reaction = ∆Quantity / ∆t

      • Moles per second

    • In a gaseous or solution units are in concentration A (moles/Liters or mol/L) over seconds

      • Rate of reaction = ∆[A] (in mol/L) / ∆t (in seconds)

    • Reaction rates are always positive

  • Average rate: average change in the concentration of a reactant or product per unit time over a given time interval

    • Only give an idea of how the reaction is progressing

    • Finding slope by secant line of the graph

  • Instantaneous rate: rate of the reaction at a particular time at a tangent line

  • You can measure reaction rates through:

    • Mass, pH, and Conductivity

    • Pressure

    • Color: through a spectrophotometer

    • Volume

Chapter 6.2: The Rate Law: Reactant Concentration and Rate

  • Rate law equation: Rate ∝ k[A]m[B]n

    • Shows relationship between the concentration of the reactants and the rate of their reaction

    • **Rate constant: the letter k (represents a proportionality constant) Depends on temperature and is constantSpeed of reaction In s−1

    • [A] and [B] are rates of reactants

    • Rate law exponents m and n do not change with temperature and have to be found experimentally

      • Exponents of 1: first order

      • Exponents of 2: second-order

  • Overall reaction order: sum of exponents (m and n)

  • First-order reaction: overall reaction order is equal to 1

  • Second-order reaction: overall reaction order is equal to 2

  • Other times reaction rates can lead it to equal to k[A]0, so the rate of reaction is constant

  • Initial rates method: comparing the initial rate of each reaction

  • Half-lifet1/2: reaction is the time that is needed for the reactant mass or concentration to decrease by one half of its initial value

    • In seconds

    • t1/2 = 0.693/k

Chapter 6.3: Theories of Reaction Rates

  • Collision theory: for a reaction to occur, reacting particles (atoms, molecules, or ions) must collide with one another.Increasing surface area more collisions occurs Not all collisions occur in reactions, for a collision to be effective:Must be correct orientation and sufficient collision energy

  • Activation energyEa: minimum collision energy that is required for a successful reaction

  • Maxwell-Boltzmann distribution: fraction of collisions vs energy graph at a constant temperature

    • The area under the graph represents the distribution of kinetic collision

  • Transition state theory: explain what happens when molecules collide in a reaction. It examines the transition, or change, from reactants to products

    • The kinetic energy of the reactants is transferred to potential energy as the reactants collide, due to the law of conservation of energy

  • Potential energy diagram: a diagram that charts the potential energy of a reaction against the progress of the reaction

    • axis represents potential energy

    • *x-*axis, labeled “Reaction progress”, represent the progression of reaction through time

  • There is no way to predict the activation energy of a reaction from its enthalpy change

  • Transition state: top of the activation energy barrier

  • Activated complex: chemical species that exist at the transition state neither product nor reactant

  • Reactions rate increases at higher temperatures

Chapter 6.4: Reaction Mechanism and Catalysts

  • Reaction mechanism: a series of steps that make up an overall reaction

  • Elementary reaction: involves a single molecular event, such as a simple collision between atoms, molecules, or ions

  • Reaction intermediates: molecules/atoms/ions that are formed in an elementary reaction and consumed in a subsequent elementary reaction

  • Molecularity: refers to the number of reactant particles (molecules, atoms, or ions) that are involved in an elementary reaction

  • Bimolecular: when two particles collide and react

  • Unimolecular: when one molecule or ion reacts

  • For an elementary reaction, the exponents in the rate law equation are the same as the stoichiometric coefficients for each reactant in the chemical equation

  • Rate-determining step: slowest elementary reaction slower which becomes the overall rate-determining step

  • A catalyst is a substance that increases the rate of a chemical reaction without being consumed by the reaction

    • Lowers activation energy so reactants have sufficient energy to react

    • Homogeneous catalyst: exists in the same phase as the reactants

    • Heterogeneous catalyst: exists in a phase that is different from the phase of the reaction it catalyzes

  • Enzymes: biological catalysts enormous protein active site: a small part of enzyme part of the catalyst reaction Substrate: reactant molecule which binds to the active site to models:Lock and key model: the enzyme is like a lock Induced fit model: changes shape to fit the substrate

Chapter 6.1: Expressing and Measuring Reaction Rates

  • Reaction rate: change in the number of reactants or products over time

    • Rate of reaction = ∆Quantity / ∆t

      • Moles per second

    • In a gaseous or solution units are in concentration A (moles/Liters or mol/L) over seconds

      • Rate of reaction = ∆[A] (in mol/L) / ∆t (in seconds)

    • Reaction rates are always positive

  • Average rate: average change in the concentration of a reactant or product per unit time over a given time interval

    • Only give an idea of how the reaction is progressing

    • Finding slope by secant line of the graph

  • Instantaneous rate: rate of the reaction at a particular time at a tangent line

  • You can measure reaction rates through:

    • Mass, pH, and Conductivity

    • Pressure

    • Color: through a spectrophotometer

    • Volume

Chapter 6.2: The Rate Law: Reactant Concentration and Rate

  • Rate law equation: Rate ∝ k[A]m[B]n

    • Shows relationship between the concentration of the reactants and the rate of their reaction

    • **Rate constant: the letter k (represents a proportionality constant) Depends on temperature and is constantSpeed of reaction In s−1

    • [A] and [B] are rates of reactants

    • Rate law exponents m and n do not change with temperature and have to be found experimentally

      • Exponents of 1: first order

      • Exponents of 2: second-order

  • Overall reaction order: sum of exponents (m and n)

  • First-order reaction: overall reaction order is equal to 1

  • Second-order reaction: overall reaction order is equal to 2

  • Other times reaction rates can lead it to equal to k[A]0, so the rate of reaction is constant

  • Initial rates method: comparing the initial rate of each reaction

  • Half-lifet1/2: reaction is the time that is needed for the reactant mass or concentration to decrease by one half of its initial value

    • In seconds

    • t1/2 = 0.693/k

Chapter 6.3: Theories of Reaction Rates

  • Collision theory: for a reaction to occur, reacting particles (atoms, molecules, or ions) must collide with one another.Increasing surface area more collisions occurs Not all collisions occur in reactions, for a collision to be effective:Must be correct orientation and sufficient collision energy

  • Activation energyEa: minimum collision energy that is required for a successful reaction

  • Maxwell-Boltzmann distribution: fraction of collisions vs energy graph at a constant temperature

    • The area under the graph represents the distribution of kinetic collision

  • Transition state theory: explain what happens when molecules collide in a reaction. It examines the transition, or change, from reactants to products

    • The kinetic energy of the reactants is transferred to potential energy as the reactants collide, due to the law of conservation of energy

  • Potential energy diagram: a diagram that charts the potential energy of a reaction against the progress of the reaction

    • axis represents potential energy

    • *x-*axis, labeled “Reaction progress”, represent the progression of reaction through time

  • There is no way to predict the activation energy of a reaction from its enthalpy change

  • Transition state: top of the activation energy barrier

  • Activated complex: chemical species that exist at the transition state neither product nor reactant

  • Reactions rate increases at higher temperatures

Chapter 6.4: Reaction Mechanism and Catalysts

  • Reaction mechanism: a series of steps that make up an overall reaction

  • Elementary reaction: involves a single molecular event, such as a simple collision between atoms, molecules, or ions

  • Reaction intermediates: molecules/atoms/ions that are formed in an elementary reaction and consumed in a subsequent elementary reaction

  • Molecularity: refers to the number of reactant particles (molecules, atoms, or ions) that are involved in an elementary reaction

  • Bimolecular: when two particles collide and react

  • Unimolecular: when one molecule or ion reacts

  • For an elementary reaction, the exponents in the rate law equation are the same as the stoichiometric coefficients for each reactant in the chemical equation

  • Rate-determining step: slowest elementary reaction slower which becomes the overall rate-determining step

  • A catalyst is a substance that increases the rate of a chemical reaction without being consumed by the reaction

    • Lowers activation energy so reactants have sufficient energy to react

    • Homogeneous catalyst: exists in the same phase as the reactants

    • Heterogeneous catalyst: exists in a phase that is different from the phase of the reaction it catalyzes

  • Enzymes: biological catalysts enormous protein active site: a small part of enzyme part of the catalyst reaction Substrate: reactant molecule which binds to the active site to models:Lock and key model: the enzyme is like a lock Induced fit model: changes shape to fit the substrate