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NCERT Exemplar · Q17

Q.Which of the following alkyl halides will undergo SN1\mathrm{S_N1} reaction most readily?

(i) (CH3)3C−F\mathrm{(CH_3)_3C{-}F}
(ii) (CH3)3C−Cl\mathrm{(CH_3)_3C{-}Cl}
(iii) (CH3)3C−Br\mathrm{(CH_3)_3C{-}Br}
(iv) (CH3)3C−I\mathrm{(CH_3)_3C{-}I}
Andhra Pradesh BieapMCQ· 1mImportance★★★★★
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In SN1\mathrm{S_N1} reactions, the rate depends on the stability of the carbocation intermediate. All four options give the same tertiary carbocation, so the leaving group ability decides the rate. The best leaving group (weakest base) is iodide, so (iv) (CH3)3C−I\mathbf{(CH_3)_3C{-}I} reacts most readily.

The question asks which alkyl halide undergoes SN1\mathrm{S_N1} reaction most readily. All four are tertiary butyl halides — same carbon skeleton, same carbocation formed. So the only variable is the halogen. Let’s think about what controls SN1\mathrm{S_N1} rate.

1. Recall the SN1\mathrm{S_N1} mechanism

SN1\mathrm{S_N1} is a two-step process: first, the leaving group departs, forming a carbocation; then the nucleophile attacks. The rate-determining step is the first step — breaking the C−X\mathrm{C{-}X} bond to form the carbocation. So the rate depends on how easily the halogen leaves.

2. What makes a good leaving group?

A good leaving group is one that can stabilize the negative charge after it departs. In other words, the weaker the base, the better the leaving group. Why? Because a weak base is stable as an anion — it doesn’t want to re-attack the carbocation.

The conjugate acids of the halide ions are HF\mathrm{HF}, HCl\mathrm{HCl}, HBr\mathrm{HBr}, HI\mathrm{HI}. Their acid strength increases down the group: HF\mathrm{HF} is a weak acid, HI\mathrm{HI} is a very strong acid. The stronger the acid, the weaker its conjugate base.

Leaving group ability order (for halides):

I−>Br−>Cl−>F−\mathbf{I^- > Br^- > Cl^- > F^-}

(Iodide is the best, fluoride is the worst.)

3. Apply to the given compounds

All four are (CH3)3C−X\mathrm{(CH_3)_3C{-}X} where X=F,Cl,Br,I\mathrm{X = F, Cl, Br, I}. The carbocation formed is the same — the tertiary butyl cation. So the only factor is how easily X−\mathrm{X^-} leaves. …

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