(a) Which of the nucleophiles \(\mathrm{CN}^{-}\) or \(\mathrm{Cl}^{-}\) reacts faster with \(\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{I}\) in an \(\mathrm{S}_{\mathrm{N}} 2\) reaction? (b) Which of the substrates, \(\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CH}\left(\mathrm{CH}_{3}\right) \mathrm{CH}_{2} \mathrm{I}\) or \(\mathrm{CH}_{3} \mathrm{I},\) reacts faster with \(\mathrm{OH}^{-}\) in an \(\mathrm{S}_{\mathrm{N}}\) 2 reaction?

Short Answer

Expert verified
(a) \(\mathrm{CN}^{-}\) reacts faster with \(\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{I}\) in an \(\mathrm{S}_{\mathrm{N}}\) 2 reaction. (b) \(\mathrm{CH}_{3} \mathrm{I}\) reacts faster with \(\mathrm{OH}^{-}\) in an \(\mathrm{S}_{\mathrm{N}}\) 2 reaction.

Step by step solution

01

Understanding the role of nucleophile

In the first question (a), two nucleophiles are given, \(\mathrm{CN}^{-}\) and \(\mathrm{Cl}^{-}\). The reactivity or speed of reaction in SN2 reactions depends mainly on nucleophilicity. Nucleophilicity increases with charge and decreases with electronegativity. In this case, \(\mathrm{CN}^{-}\) (cyanide ion) is less electronegative compared to \(\mathrm{Cl}^{-}\) (chloride ion), therefore \(\mathrm{CN}^{-}\) is more nucleophilic.
02

Deciding the better nucleophile

Having established that, in the given conditions, \(\mathrm{CN}^{-}\) is more nucleophilic, it can be concluded that \(\mathrm{CN}^{-}\) reacts faster with \(\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{I}\) in an \(\mathrm{S}_{\mathrm{N}} 2\) reaction.
03

Understanding the role of substrate

In the second question (b), two substrates are given, \(\mathrm{CH}_{3} \mathrm{CH}_{2}\mathrm{CH}\left(\mathrm{CH}_{3}\right) \mathrm{CH}_{2} \mathrm{I}\) and \(\mathrm{CH}_{3} \mathrm{I}\). For the SN2 reaction, the reactivity of substrate is largely driven by sterics. The more sterically hindered the reaction center, the slower the reaction.
04

Deciding the better substrate

Given the aforementioned consideration, the primary alkyl halide \(\mathrm{CH}_{3} \mathrm{I}\), having less steric hindrance near the reaction center, will react faster than the secondary alkyl halide \(\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CH}\left(\mathrm{CH}_{3}\right) \mathrm{CH}_{2} \mathrm{I}\) with \(\mathrm{OH}^{-}\) in an \(\mathrm{S}_{\mathrm{N}}\) 2 reaction.

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