Reaction rates

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Rate-concentration graphs

rate_conc_graphs

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Rate-concentration

  • Zero order: The rate is unaffected by changes to the concentration.
  • First order: The rate is directly proportional to the concentration.
  • Second order: The rate increases by a factor of the concentration squared.
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Concentration-time graphs

order_graphs

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Half life

  • Zero order: The concentration decreases at a constant rate, while the half life decreases with time.
  • First order: The concentration halves in equal time intervals, therefore the half life is constant.
  • Second order: The concentration decreases rapidly, before the rate of decrease then slows down. The half life increases over time.
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Rate equation

  • The units for rate of reaction are mol dm3s1
  • Rate = change in concentration / time.
  • rate=k[B]1[C]2rate=k[B]1[C]2rate=k[B]1[C]2rate=k[B]1[C]2Rate = k[A][B]
  • If a is presented as [A]^2 it means it is second order. If presented as [A]^1 it is first order with respect to A.
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Rate determining step

  • This is the slowest step in the reaction mechanism of a multi-step reaction.

Example

rate = k[NO2]^2

From the rate equation we know there is 2 NO2 reactants in the rate determining step.

O and CO2 must be involved in the second step as they are involved in the overall equation.

  • NO2 must be a product of the second step as there is only one molecule of NO2 is in the overall reaction.
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Continued example

  • By balancing the second step equation, the other reactant in the second step must be NO3 .
  • The products of the first step must be NO and NO3 .

This gives the completed mechanism:

NO3 NO3 s the intermediate as it is generated in the first step and is consumed in the second step.

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Regards

Information obtained from : https://revise.im/chemistry/eee/rates

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