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How does a potential-energy diagram for a multistep reaction show intermediates and identify the rate-determining step?

Topic 5.10 Multistep Reaction Energy Profile: interpret an energy diagram with more than one peak to identify intermediates, the activation energy of each step, and the rate-determining step.

A focused answer to AP Chemistry Topic 5.10, covering multistep potential-energy diagrams, identifying intermediates in the valleys, the activation energy of each step, and locating the rate-determining step from the highest barrier, with full worked examples.

Generated by Claude Opus 4.89 min answer

Reviewed by: AI editorial process; not yet individually human-reviewed

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  1. What this topic is asking
  2. Reading a multistep profile
  3. Activation energy of each step
  4. Finding the rate-determining step
  5. Try this

What this topic is asking

The College Board (Topic 5.10) wants you to read a multistep potential-energy diagram (more than one peak) to identify intermediates, the activation energy of each step, and the rate-determining step. This extends the single-step profile of Topic 5.6 to the realistic case of a mechanism with several elementary steps, each with its own barrier.

Reading a multistep profile

A two-step mechanism therefore shows two humps with a dip between them. The dip is the intermediate; it is lower in energy than the surrounding transition states but is still a genuine, if transient, species. The reactants and products are the levels at the far left and far right.

Activation energy of each step

So to find a step's activation energy you locate where that step begins (reactants for the first step, the preceding intermediate for later steps) and subtract that energy from the step's peak. Reading each barrier from its correct starting level is the most common error to avoid.

Finding the rate-determining step

The rate-determining step is the one with the highest activation energy, the tallest barrier measured from its own starting level. It is the slowest step and the bottleneck for the overall rate, consistent with Topic 5.8. On a clearly drawn profile the rate-determining step is usually the one whose peak rises highest above the level just before it, though you should always compare the barrier heights rather than just the absolute peak heights.

Try this

Q1. A two-step profile has step-1 barrier 60 kJ mol160\ \text{kJ mol}^{-1} and step-2 barrier 95 kJ mol195\ \text{kJ mol}^{-1}. Identify the rate-determining step. [1 point]

  • Cue. Step 2, because it has the higher activation energy.

Q2. Explain how a multistep profile lets you count the number of elementary steps and intermediates. [2 points]

  • Cue. The number of peaks equals the number of elementary steps; the number of valleys between peaks equals the number of intermediates.

Exam-style practice questions

Practice questions written in the style of College Board exam questions on this dot point, with worked answer explainers. The year tag is the paper they imitate, not the source.

AP 2023 (style)4 marksSection II (long FRQ, part). A two-step reaction has a profile with energies (in kJ mol1\text{kJ mol}^{-1}): reactants 4040, first peak 130130, intermediate (valley) 7070, second peak 110110, products 5050. (a) Calculate the activation energy of each step. (b) Identify the rate-determining step and justify. (c) Identify the location of the intermediate. (d) State whether the overall reaction is endothermic or exothermic.
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A 4-point quantitative FRQ on a multistep profile.

(a) Activation energies (1 point): step 1 =13040=90 kJ mol1= 130 - 40 = 90\ \text{kJ mol}^{-1}; step 2 =11070=40 kJ mol1= 110 - 70 = 40\ \text{kJ mol}^{-1}.
(b) Rate-determining step (1 point): step 1 has the higher activation energy (90>4090 > 40), so it is the rate-determining (slow) step; the taller barrier is the bottleneck.
(c) Intermediate (1 point): the intermediate sits in the valley between the two peaks, at 70 kJ mol170\ \text{kJ mol}^{-1}.
(d) Overall (1 point): products (5050) are higher than reactants (4040), so ΔH=+10 kJ mol1\Delta H = +10\ \text{kJ mol}^{-1} and the reaction is endothermic.

Markers reward both activation energies, identifying step 1 as rate-determining from the higher barrier, locating the intermediate in the valley, and the overall endothermic conclusion.

AP 2021 (style)1 marksSection I (multiple choice). On a two-step energy profile, a reaction intermediate is found at (A) the first peak (B) the valley between the two peaks (C) the second peak (D) the products. Justify your choice.
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A 1-point conceptual MCQ. The answer is (B).

An intermediate is a real, if short-lived, species that sits in the energy valley between two transition states (the peaks). Peaks are transition states, not intermediates. The trap is confusing the intermediate (a valley) with the transition states (the peaks).

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