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First teaching 2014

Last exams 2024

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Graphing the Arrhenius Equation (DP IB Chemistry: HL)

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Graphing the Arrhenius Equation

Finding the Activation Energy

  • Very often, the Arrhenius equation is used to calculate the activation energy of a reaction
  • A question will either give sufficient information for the Arrhenius equation to be used or a graph can be plotted and the calculation done from the plot

Using the equation:

  • Remember, it is usually easier to use the version of the Arrhenius equation after natural logs of each side have been taken

Using an Arrhenius plot:

  • A graph of ln k against 1/T can be plotted, and then used to calculate Ea
    • This gives a line which follows the form y = mx + c

The graph of ln k against 1/T is a straight line with gradient -Ea/R

  • From the graph, the equation in the form of y = mx + c is as follows:

5.2.5 Y = mx + c from Arrhenius graph_2, downloadable AS & A Level Chemistry revision notes

Worked example

  1. Complete the following table
  2. Plot a graph of ln k against 1/T
  3. Use this to calculate the activation energy, Ea, and the Arrhenius constant, A, of the reaction.

Calculate the activation energy from the Arrhenius plot - WE, downloadable AS & A Level Chemistry revision notes

Answers

Answer 1:

5.2.5 Using Arrhenius plot to calculate Ea - calculation answer complete table (WE)_1, downloadable AS & A Level Chemistry revision notes

Answer 2:

5.2.5 using Arrhenius plot to calculate Ea - plotted graph (WE)_2, downloadable AS & A Level Chemistry revision notes

Answer 3: 5.2.5 WE Arrhenius plot calculate Ea 1_1, downloadable AS & A Level Chemistry revision notes

5.2.5 WE Arrhenius plot calculate Ea 2_2, downloadable AS & A Level Chemistry revision notes

5.2.5 WE Arrhenius plot - calculate A (part 1)_1, downloadable AS & A Level Chemistry revision notes

5.2.5 WE Arrhenius plot - calculate A (part 2)_2, downloadable AS & A Level Chemistry revision notes

Examiner Tip

You are not required to learn these equations.However, you do need to be able to rearrange them, and knowing them is helpful in understanding the effects of temperature on the rate constant.

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Stewart

Author: Stewart

Expertise: Chemistry Lead

Stewart has been an enthusiastic GCSE, IGCSE, A Level and IB teacher for more than 30 years in the UK as well as overseas, and has also been an examiner for IB and A Level. As a long-standing Head of Science, Stewart brings a wealth of experience to creating Exam Questions and revision materials for Save My Exams. Stewart specialises in Chemistry, but has also taught Physics and Environmental Systems and Societies.