Lecture 11 Summary

Chemical kinetics: how fast a reaction happens

Reaction rate = (change in concentration) / (elapsed time)

Rate law: the dependence of reaction rate on the concentration of the reactants

k is a reaction rate constant
m and n is the reaction order: the reaction order for A is m and the reaction order for B is n. The reaction order of the entire reaction is m + n
The reaction order is determined experimentally

For the reaction with rate = k[A]m

  • m = 0: A concentration does not change the reaction rate
  • m = 1: doubling A doubles rate
  • m = 2: doubling A → quadruple

Rate constant k

  • If k is small → react slowly
  • If k is big → react quickly

To find out the concentration at a given time → Integrated rate law
Because over time, the concentration of your reactants is going to change

  1. Zero-order Reactions:
    A straight line → does not depend on the concentration of the reaction
    The slope of the line is the rate constant
  2. First-order Reactions:

→ Calculating half-life: the time it takes for the concentration of a reactant to be reduced in half
For zero order reaction → all half-lives are the same
For first order reactions → half-lives may vary

Determine the order of the reaction:

  1. Looking at the concentrations in the trails: does not change, double or triple
  2. Graphically:
    1. Graph of concentration over time is straight line: zero order, slope of the line is the rate constant
    2. Graph of natural log of concentration over time is a straight line: first order → determining half lives
    3. Graph of 1/[A] (concentration) is a straight line: second order

Criteria for a reaction to occur:

  1. Must collide
  2. Correct orientation
  3. Kinetic energy (temperature)