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Q.Out of CH3-CH(CH3)-CH2-Cl and CH3-CH2-CH(CH3)-Cl which is more reactive towards SN1 reaction and why?

Assam AhsecAHSEC Higher Secondary (HS) Final Examination 2020Subjective· 1mImportance★★★★★
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SN1 reactivity tracks carbocation stability; the secondary halide CH3-CH2-CH(CH3)-Cl forms a more stable (secondary) carbocation and so reacts faster by SN1.

Identifying the two halides

CH3-CH(CH3)-CH2-Cl is 1-chloro-2-methylpropane — the chlorine-bearing carbon (CH2Cl) is attached to only one other carbon, so this is a primary (1°) halide.

CH3-CH2-CH(CH3)-Cl is 2-chlorobutane — the chlorine-bearing carbon is attached to two other carbons (an ethyl group and a methyl group), so this is a secondary (2°) halide.

Why SN1 rate depends on carbocation stability

The SN1 mechanism proceeds in two steps: (1) slow, rate-determining ionisation of the C-X bond to form a carbocation, and (2) fast attack of the nucleophile on this carbocation. Since the rate-determining step generates a carbocation, the rate of an SN1 reaction depends directly on how stable/easily-formed that carbocation is — more stable carbocations form faster and lower the activation energy of the rate-determining step.

Applying this here

Ionisation of CH3-CH(CH3)-CH2-Cl would give a primary carbocation (CH3-CH(CH3)-CH2+), which is poorly stabilised (few adjacent alkyl groups donating electron density by hyperconjugation/+I effect) and hence high in energy. …

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