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4.1.7Unit 4. Rates, Equilibria and Further Organic Chemistry

Rate-Determining Steps from Equations — IAL Edexcel Linear (Chemistry) Revision Notes & Topical Questions

5 min read 6 parts Lesson 16 of 56 Unit quiz

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Curriculum Equation Key معادلة تفاعل تكوين الإستر (الأسترة) - Esterification Reaction EquationFast Exam Solution
R-COOH + R2-OH ⇌ (conc. H₂SO₄) R-COO-R2 + H₂O
Word Equation & Conditions: حمض كربوكسيلي + كحول (في وجود حمض الكبريتيك المركز كعامل حفاز ونازع للماء) ⇌ إستر + ماء
Location & Specifications: الكيمياء العضوية للثانوية العامة والتحصيلي و Edexcel Chemistry.
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Part 1 of 6The Rate-Determining Step

Many reactions happen in several steps, but only one step sets the pace.

Definition
  • Definition The rate-determining step is the slowest step in a multi-step mechanism and it controls the overall rate.
Analogy
  • Analogy Water leaving a funnel cannot flow faster than its narrowest part, just as the whole reaction cannot go faster than its slowest step.
Fast steps
  • Fast steps Steps after the slow step do not affect the rate and their species do not appear in the rate equation.
Molecularity
  • Molecularity The number of particles colliding in one step is usually one or two, rarely three.

Part 2 of 6Reading the Rate Equation

Reading the Rate Equation
Appears in equation
  • Appears in equation A species in the rate equation is present in the rate-determining step or in an earlier fast step.
Order links to number
  • Order links to number If the order is two in a species, two particles of it are involved up to and including the slow step.
Missing species
  • Missing species A reactant absent from the rate equation is zero order and takes part only after the slow step.
Catalysts
  • Catalysts A catalyst that appears in the rate equation is involved in the slow step even though it is not in the overall equation.
Rate equationSpecies in rate-determining step
rate = k[A]One A
rate = k[A][B]One A and one B
rate = k[A]²Two A
rate = k[A][B]²One A and two B

Part 3 of 6Testing a Proposed Mechanism

1
Write down the steps of the proposed mechanism and mark which one is slow.
2
Add all the steps together and cancel any species that appears on both sides.
3
Check that the sum is the same as the overall balanced equation.
4
Check that the species in the slow step match the species and orders in the experimental rate equation.
5
If both conditions are met the mechanism is consistent with the evidence, although it is not proved.

Part 4 of 6Intermediates

Definition
  • Definition An intermediate is formed in one step and used up in a later step, so it does not appear in the overall equation.
Not in rate equation
  • Not in rate equation Intermediates are normally eliminated from the final rate equation by relating them to reactants.
Contrast with catalyst
  • Contrast with catalyst A catalyst is used and then regenerated, but it is present at the start of the reaction as well.
Evidence
  • Evidence Intermediates are rarely isolated, but their detection by spectroscopy supports a mechanism.

Part 5 of 6Worked Example

Question

  • For NO₂(g) + CO(g) → NO(g) + CO₂(g) the experimental rate equation is rate = k[NO₂]².
  • A mechanism is proposed: step 1 (slow) 2NO₂ → NO + NO₃;
    • step 2 (fast) NO₃ + CO → NO₂ + CO₂.
  • Is it consistent?

  1. Add the steps
    • 2NO₂ + NO₃ + CO → NO + NO₃ + NO₂ + CO₂;
      • cancel NO₃ and one NO₂ to give NO₂ + CO → NO + CO₂, which matches the overall equation.
  2. The slow step contains two NO₂ and no CO, so the predicted rate equation is rate = k[NO₂]².
  3. This matches experiment, and NO₃ is an intermediate.

Answer The mechanism is consistent with the rate equation and the overall equation

Part 6 of 6Exam Checklist & Tips

4.1.7 – Key Points for the Exam

  • Rate-determining step The slowest step in a reaction mechanism, which controls the overall rate.
  • Intermediate A species formed in one step and consumed in a later one.
  • Mechanism The sequence of steps by which reactants are converted into products.
  • Molecularity The number of particles reacting together in a single step.
  • Overall equation The balanced equation obtained by adding all the steps.

Common Mistakes

  • Writing the rate equation from the coefficients of the overall equation rather than from experiment.
  • Including an intermediate in the final overall equation.
  • Saying a mechanism is proved because it matches one rate equation.
  • Putting a species in the rate-determining step when it is zero order.

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