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NCERT Exemplar · Q64

Q.Which of the following compounds would undergo SN1\mathrm{S_N1} reaction faster and why?

(chloromethyl)cyclohexane and (chloromethyl)benzene, for S_N1 rate comparison
Figure
(A) (chloromethyl)cyclohexane — a cyclohexane ring bearing a −CH2Cl\mathrm{-CH_2Cl} group
(B) (chloromethyl)benzene (benzyl chloride, C6H5−CH2Cl\mathrm{C_6H_5-CH_2Cl})
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The key idea is that SN1\mathrm{S_N1} reactions depend on carbocation stability. Benzyl chloride forms a resonance-stabilized benzyl carbocation, making it much more reactive than (chloromethyl)cyclohexane, which forms a less stable primary carbocation. Therefore, (B) benzyl chloride reacts faster.

Benzylic carbocation resonance
Benzylic carbocation resonance

Why This Approach Works

The SN1\mathrm{S_N1} mechanism is a two-step process: first, the leaving group (chloride) departs, forming a carbocation intermediate; second, the nucleophile attacks this carbocation. The rate-determining step is the first step — carbocation formation. So, the faster the carbocation forms and the more stable it is, the faster the SN1\mathrm{S_N1} reaction proceeds.

This means we don't need to think about nucleophile strength or steric hindrance at the transition state (which matters in SN2\mathrm{S_N2}). Instead, we compare the stability of the carbocations that would form from each compound.

Step-by-Step Reasoning

  1. Identify the leaving group and the carbon it's attached to.

    Both compounds have a chlorine atom as the leaving group. In (A), the chlorine is on a primary carbon (a −CH2Cl\mathrm{-CH_2Cl} group attached to a cyclohexane ring). In (B), the chlorine is on a benzylic carbon (the carbon directly attached to the benzene ring).

  2. Consider the carbocation formed after Cl−\mathrm{Cl^-} leaves.

    For (A): The carbocation is C6H11−CH2+\mathrm{C_6H_{11}-CH_2^+} — a primary carbocation. Primary carbocations are highly unstable because they have only one alkyl group donating electron density via hyperconjugation and the inductive effect.

    For (B): The carbocation is C6H5−CH2+\mathrm{C_6H_5-CH_2^+} — a benzylic carbocation. Here, the positive charge can be delocalized into the benzene ring's π\pi system.

  3. Analyze the stabilization in the benzylic carbocation.

    The benzene ring has three resonance structures that spread the positive charge onto the ortho and para positions of the ring. This delocalization dramatically lowers the energy of the carbocation, making it much more stable than any simple primary carbocation.

    Resonance stabilization of benzyl carbocation:

    C6H5−CH2+↔C+6H5=CH2 (and other resonance forms)\mathrm{C_6H_5-CH_2^+ \leftrightarrow \overset{+}{C}_6H_5=CH_2 \text{ (and other resonance forms)}}

  4. Compare the rates directly. …

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