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chemical kinetics
- the area of chemistry concerned with the speeds, or rates, at which a chemical reaction occurs
- the speed of a reaction is not neccessarily related to the energy change
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reaction rate
- the change in the concentration of a reactant or a product with time
- units of M/s
- always highest at the beginning of a reaction
- 2A --> B
- rate = - 1/2 ^[A] / ^t = ^[B] / ^ t (rate expression)
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activation energy
- Ea - the minimum amount of energy required to initiate a chemical reaction
- -must have a collision in order to have a reaction
- -collisions must occur with enough kinetic energy to break the existing bonds
- if energy is too small the molecules will merely bounce off each other intact
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rate law
- expresses the realtionship of the rate of a reaction to the rate constant and the concentrations of the reactants raised to some powers
- for rxn aA +bB --> cC
- the rate law is: rate = k[A]^x[B]^y
- x and y must be experimentally determined
- sum of the exponents gives "order"of reaction
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rate constant
- k rate =k[A]
- every time a reaction takes place, at a constant temperature, the same value for k is obtained
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first order reactions
- rate = k[A] = - ^[A] / ^ t
- In [A]0 / [A]t = kt
- [A] at time = 0, [A] at time = t
- for gas-phase reactions we can replace the concentration terms with the pressures of the gaseous reactant
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half-life
- t 1/2 - the time required for the concentration of a reactant to decrease to half of its initial concentration
- at t 1/2, [A] = 1/2[A]0
- t 1/2 = 0.693/k
- in 1st order reaction it is independant of the [A]
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second-order reactions
- A --> products
- rate = - ^[A] / ^ t = k[A]2 (squared)
- 1/[A]t = kt + 1/[A]0
- half life = 1 / k[A]0
- initial concentration does matter in 2nd order rxns
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zero order reactions
- rate = k[A]0
- rate = k
- half life = [A]0 / 2k
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collision theory of chemical kinetics
- molecules must collide in order to react
- rate increases with the # of collisions per second
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activated complex
- aka - transition state
- a temporary species formed by the reactant molecules as a result of the collision before they form the product
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effect temperature has on reaction rate
- more molecules have the kinetic energy necessary to overcome the acivation energy
- molecules move faster so they have more collisions
- collisions are more energetic
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The Arrhenius Equation
- k = Ae ^(-Ea / RT) OR In k = In A - Ea / RT
- Ea = activation energy in kJ/mol
- Ae = frequency factor (we usually don't know)
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Arrhenius Equation with two temperatures and respective constants
- In k1/k2 = Ea / R ( 1/ T2 - 1/ T1)
- for any order reaction
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elementary steps
a series of simple reactions that represent the progress of the overall reaction on the molecular level
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reaction mechanism
- the sequence of elementary steps that leads to product formation
- details how the reaction is thought to take place
- reactions are hypotheses (always subject to revision)
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intermediates
- appear in the mechanism of the reaction (elementary steps) but not in the overall balanced equation
- they are canceled as you add the elementary steps
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rate-determining step
the slowest step in the sequence of steps leading to product formation
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unimolecular reaction
an elementary step in which only one reacting molecule participates
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bimolecular reaction
an elementary step involving two molecules
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termolecular reaction
- an elementary step involving 3 molecules
- they are very rare
- require 3 molecules to "slam" into each other at once
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molecularity of a reaction
the number of molecules reacting in an elementary step
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catalyst
- a substance that increases the rate of a chemical reaction without itself being consumed
- reacts within an elementary step of the mechanism but is regenerated in a subsequent step
- it works by allowing an alternative route which lowers the activation energy
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heterogeneous catalyst
catalytic converter - gas vs solid
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homogeneous catalyst
same phase
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enzyme catalysis
biological catalyst
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catalyst vs intermediate
- catalyst appears as a reactant and later gets spit back out
- intermediate appears as a product and gets sucked back in
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