The correct answer is Option (1) →
(tertiary alkyl bromide)
An SN1 reaction proceeds via carbocation formation. The rate depends mainly on carbocation stability:
Tertiary > Secondary > Primary
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Option 1 forms a tertiary carbocation, which is most stable due to hyperconjugation and +I effect → fastest SN1
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Options 2 and 3 form secondary carbocations
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Option 4 forms a primary carbocation, least stable → slowest
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