H3 Chemistry 9813 · Study focus: H3 Chemistry: Compare SN1 and SN2 profiles, rate laws and steady-state reasoning

H3 Chemistry: Compare SN1 and SN2 profiles, rate laws and steady-state reasoning

Start from the governing chemical model, test it against evidence, then transfer the reasoning to an unfamiliar case.

Your success criteria

  • Compare SN1 and SN2 profiles, rate laws and steady-state reasoning
  • Use named chemical evidence.
  • Transfer the governing reason to an unfamiliar case.
Diagnose this objective

Separate one-step and two-step pathways

SN2 is concerted: nucleophile attack and leaving-group departure occur through one transition state with no intermediate.

SN1 is stepwise: slow ionisation forms a carbocation, followed by faster nucleophile capture.

Explore this H3 topic and lesson sequence.

Link molecularity and rate law

The simple SN2 law is rate = k[RX][Nu], first order in each reactant and second order overall.

The simple SN1 law is rate = k[RX], first order overall because the nucleophile is absent from the ionisation step.

  1. In an SN1 steady-state treatment, the carbocation remains at low concentration because its rate of formation is approximately balanced by its rates of consumption.

  2. 9813 requires this qualitative account; deriving a mathematical steady-state rate expression is outside the stated requirement.

H3 Chemistry: Compare SN1 and SN2 profiles, rate laws and steady-state reasoning: move from the evidence or givens, through the governing Chemistry idea, to a conclusion that stays inside the selected course boundary.
H3 Chemistry: Compare SN1 and SN2 profiles, rate laws and steady-state reasoning evidence representation. Paired profiles aligned to explicit initial-rate tables connect empirical rate laws to elementary-step topology and the qualitative steady-state carbocation.
H3 Chemistry: Compare SN1 and SN2 profiles, rate laws and steady-state reasoning authored energy representationThe text alternative lists every maximum and minimum in sequence and states each concentration-rate comparison without relying on line colour or shape alone.energy / qualitative ↑reaction coordinate / qualitative progressSN2[Nu···C···X]‡; one maximumrate=k[RX][Nu]; k dm³ mol⁻¹ s⁻¹SN1ionisation TSR⁺ intermediate; formation ≈ consumptioncapture TSrate=k[RX]; k s⁻¹
Independent concentration-doubling experiments
PathwayIndependent changeRate responseRate lawk units
SN2double [RX]rate doublesk[RX][Nu]dm³ mol⁻¹ s⁻¹
SN2double [Nu]rate doublesk[RX][Nu]dm³ mol⁻¹ s⁻¹
SN1double [RX]rate doublesk[RX]s⁻¹
SN1double [Nu]unchangedk[RX]s⁻¹

Text alternative: The text alternative lists every maximum and minimum in sequence and states each concentration-rate comparison without relying on line colour or shape alone.

Use the steady-state statement correctly

In an SN1 steady-state treatment, the carbocation remains at low concentration because its rate of formation is approximately balanced by its rates of consumption.

9813 requires this qualitative account; deriving a mathematical steady-state rate expression is outside the stated requirement.

Initial-rate discrimination

Runs for an alkyl bromide give: doubling [RX] doubles rate; doubling [CN−] also doubles rate.

The evidence supports rate = k[RX][CN−] and a bimolecular rate-determining event.

  • Calculate the predicted rate factor when [RX] is tripled and [CN−] is halved.
Open the feedback checkpoint after attempting
  • The rate changes by 3 × 1/2 = 1.5; credit explicit use of both first-order dependencies.

Read the energy profiles

An SN2 profile has one maximum connecting reactants directly to products.

An SN1 profile has two maxima separated by a carbocation minimum; the first ionisation maximum is commonly higher.

  • Label reactants, both transition states, carbocation and products on a two-step substitution profile.
Open the feedback checkpoint after attempting
  • Credit two maxima, one intermediate minimum, and the first step as C–X ionisation rather than nucleophile attack.

Start the diagnostic and follow its feedback

Interpret a low intermediate concentration

A low measured carbocation concentration does not mean that the species is absent.

Rapid trapping can keep a real intermediate near steady state while product continues to form.

  • Explain how a carbocation can be mechanistically essential yet remain difficult to detect during an SN1 reaction.
Open the feedback checkpoint after attempting
  • Its formation is slow and its consumption is fast, so it is present at low steady concentration; do not replace it by a transition state.

Repair shared-rate-law reasoning

SN1 and SN2 form substitution products through different elementary sequences and therefore have different concentration dependencies.

A good leaving group can speed either mechanism without making their rate laws identical.

  • Correct: ‘Both mechanisms contain nucleophile and haloalkane, so both rates must be k[RX][Nu].’
Open the feedback checkpoint after attempting
  • State that SN2 includes nucleophile in its single rate-determining step, whereas SN1 ionisation precedes nucleophile capture and gives k[RX].

Assess kinetic convergence

Complete the twelve rate/profile diagnostics before opening the unseen bromide data table.

After the delayed chloride profile, use stereochemical evidence and ion-pair effects to distinguish pathways.

  • Attempt the stored kinetics assessment and mark rate orders, k units, profile topology and steady-state statement.
Open the feedback checkpoint after attempting
  • No mathematical steady-state derivation is required; next compare inversion with two-face capture and qualify any product ratio.