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.
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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 and step-2 barrier . 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 ): reactants , first peak , intermediate (valley) , second peak , products . (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.Show worked answer →
A 4-point quantitative FRQ on a multistep profile.
(a) Activation energies (1 point): step 1 ; step 2 .
(b) Rate-determining step (1 point): step 1 has the higher activation energy (), 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 .
(d) Overall (1 point): products () are higher than reactants (), so 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.Show worked answer →
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).
Related dot points
- Topic 5.6 Reaction Energy Profile: interpret a potential-energy diagram to identify the activation energy of the forward and reverse reactions, the transition state and the enthalpy of reaction.
A focused answer to AP Chemistry Topic 5.6, covering the potential-energy diagram, the transition state, the activation energy of the forward and reverse reactions, the relationship to enthalpy of reaction, and the effect of a catalyst, with full worked examples.
- Topic 5.8 Reaction Mechanism and Rate Law: identify the rate-determining (slow) step of a mechanism and use it to write the rate law, and check a proposed mechanism against the experimental rate law.
A focused answer to AP Chemistry Topic 5.8, covering the rate-determining step, writing the rate law from the slow step, the slow-step-first case, and how a proposed mechanism must agree with the experimental rate law, with full worked examples.
- Topic 5.7 Introduction to Reaction Mechanisms: represent a reaction as a sequence of elementary steps, identify reaction intermediates and catalysts, and confirm that the steps sum to the overall equation.
A focused answer to AP Chemistry Topic 5.7, covering reaction mechanisms as sequences of elementary steps, identifying intermediates and catalysts, and checking that the steps add up to the overall equation, with full worked examples.
- Topic 5.11 Catalysis: explain how a catalyst increases the rate by providing an alternative pathway with a lower activation energy, and distinguish homogeneous, heterogeneous and enzyme catalysis.
A focused answer to AP Chemistry Topic 5.11, covering how a catalyst lowers the activation energy by offering an alternative mechanism, the types of catalysis (homogeneous, heterogeneous, enzymatic), and why a catalyst leaves enthalpy and equilibrium unchanged, with full worked examples.
- Topic 5.9 Pre-Equilibrium Approximation: derive the rate law of a mechanism with a fast initial equilibrium followed by a slow step by expressing the intermediate concentration in terms of reactant concentrations.
A focused answer to AP Chemistry Topic 5.9, covering the steady-state and pre-equilibrium approximation, mechanisms with a fast initial equilibrium and a slow second step, and how to eliminate an intermediate to derive the overall rate law, with full worked examples.
Sources & how we know this
- AP Chemistry Course and Exam Description — College Board (2020)