Kinetics

Introduction

  • Kinetics: study the rate at which a chemical process occurs.   * Also studies the reaction mechanism     * Reaction mechanism: how the reaction occurs

Factors That Affect Reaction Rates

  • Physical state of the reactants   * In order to react, molecules must come in contact with each other.   * The more homogeneous the mixture of reactants, the faster the molecules can react.
  • Concentration of reactants   * As the concentration of reactants increases, so does the likelihood that reactant molecules will collide.   * Since during a reaction, concentrations are constantly changing, the rate of a chemical reaction is SELDOM constant
  • Temperature   * At higher temperatures, reactant molecules have more kinetic energy, move faster, and collide more often and with greater energy.
  • Presence of a catalyst   * Catalysts speed up reactions by changing the mechanism of the reaction.   * Catalysts are not consumed during the course of the reaction.

Rate Expressions

  • Rate of a reaction: the change in the amount of a reactant or product per unit time.    * It’s often convenient to express amount in terms of concentration.

  • Concentration is used because the effect of concentration on the rate is generally predictable.    * As concentration decreases, rate decreases. 

  • Rate expression: mathematical representation of rate of reaction. 

  • Reaction rates are always positive quantities.

  • Concentration is most often expressed in Molarity.  

  • Rate expressions can be written in terms of reactant or product concentration

Average vs Instantaneous React Rates

  • Average reaction rate: the rate at which a reaction  proceeds over a time period.    * Calculated using concentrations at the beginning and end of a time period.
  • Instantaneous reaction rate: the rate at which a reaction is proceeding at a specific time and/or conc.    * Calculated using a graph (Conc. vs. time) and a slope of a straight line tangent to the curve at that specific time.    * Or by determining the avg. rate of reaction over a very short time period. 
  • Initial reaction rate: the instantaneous reaction rate at “time zero”. 

Relative Rates of Reaction

  • The rate of a reaction may be expressed in terms of the change in concentration of any reactant or product. 
  • Stoichiometric factors derived from a balanced equation may be used to relate reaction rates.

Rate and Collision

  • Chemical reactions occur as the result of collisions between reactant molecules.
  • The higher the concentration of reactant molecules, the more likely molecules will collide and react, and therefore the faster the reaction rate.  
  • As reactants get consumed, collisions happen less frequently and the reaction rate decreases.

Rate Constant, k

  • The rate constant, k is specific for a particular reaction at a particular temperature. 
  • k is independent of reactant concentration. 
  • k must be determined experimentally. 

Rate Laws

  • Experiments must be done to determine the rate law for a reaction.   * Can’t just use a balanced chemical equation. 
  • Elementary step: a single event in the course of a reaction
  • The rate is directly proportional to the product
  • To get the rate law from an elementary step, we simply multiply k by the concentrations of all of the molecules……..IF they all have coefficients of 1. 
  • The rate law for an elementary step always = k times the product of each component, raised to the power of its coefficient.
  • Rate order: the sum of the exponents in the rate law
  • For a reaction with a single reactant:   * A → products   * rate = k[A]^m   * m is the order of the reaction   * m must be determined experimentally (not from balanced chemical equations).    * Reaction orders are usually positive integers (0, 1, 2…) but can also be fractions or negative numbers. 
  • Most reactions involve more than one reactant.
  • A + B → products
  • rate = k[A^]m[B]^n
  • There are three orders:   * m is the order with respect to A   * n is the order with respect to B   * The overall order of the reaction = m + n

Order with Respect to a Reactant

  • The **order with respect to a reactant **indicates the dependence of the reaction rate on the concentration of that particular reactant. 
  • The **overall order *gives an understanding of how all the reactants contribute to the rate of a reaction.      Also, dictates the units of the rate constant for that reaction. 

Determination of a Reaction’s Rate Law

  • One way to determine the rate law of a reaction is to measure the initial rate.   * Initial rate: the rate at time zero.
  • If the initial rate is measured with a number of different initial reactant concentrations then the rate law can be determined. 

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