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NCERT Exemplar · Q1

Q.The order of reactivity of following alcohols with halogen acids is ______________.
(A) CH3CH2−CH2−OH\mathrm{CH_3CH_2-CH_2-OH}
(B) CH3CH2−CH∣CH3−OH\mathrm{CH_3CH_2-\underset{\underset{\displaystyle CH_3}{|}}{CH}-OH}
(C) CH3CH2−C∣CH3∣CH3−OH\mathrm{CH_3CH_2-\overset{\overset{\displaystyle CH_3}{|}}{\underset{\underset{\displaystyle CH_3}{|}}{C}}-OH}

(i) (A) > (B) > (C)
(ii) (C) > (B) > (A)
(iii) (B) > (A) > (C)
(iv) (A) > (C) > (B)
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✓ Free question

The reactivity of alcohols with halogen acids follows the carbocation stability order: tertiary > secondary > primary. Here, (C) is tertiary, (B) is secondary, and (A) is primary, so the correct order is (C) > (B) > (A).

The reaction of an alcohol with a halogen acid (like HCl, HBr, or HI) proceeds via an SN1\mathrm{S_N1} mechanism when the alcohol can form a reasonably stable carbocation. The key step is the protonation of the –OH group, followed by loss of water to generate a carbocation. The halide ion then attacks this carbocation to give the alkyl halide.

Since the rate-determining step is carbocation formation, the reactivity depends entirely on carbocation stability. The more stable the carbocation, the faster the reaction. The stability order is well known: tertiary > secondary > primary > methyl.

Let’s classify each alcohol:

  1. Alcohol (A) — CH3CH2CH2OH\mathrm{CH_3CH_2CH_2OH} (propan-1-ol) is a primary alcohol. The carbocation formed would be CH3CH2CH2+\mathrm{CH_3CH_2CH_2^+}, a primary carbocation — highly unstable, so this reacts the slowest.

  2. Alcohol (B) — CH3CH2CH(OH)CH3\mathrm{CH_3CH_2CH(OH)CH_3} (butan-2-ol) is a secondary alcohol. The carbocation formed is CH3CH2CH+CH3\mathrm{CH_3CH_2CH^+CH_3}, a secondary carbocation — moderately stable, so reactivity is intermediate.

  3. Alcohol (C) — CH3CH2C(OH)(CH3)2\mathrm{CH_3CH_2C(OH)(CH_3)_2} (2-methylbutan-2-ol) is a tertiary alcohol. The carbocation formed is CH3CH2C+(CH3)2\mathrm{CH_3CH_2C^+(CH_3)_2}, a tertiary carbocation — the most stable of the three, so this reacts the fastest.

Watch out

A common mistake is to think that more alkyl groups on the carbon bearing –OH make the alcohol "crowded" and thus less reactive. In fact, the opposite is true for SN1\mathrm{S_N1}: more alkyl substitution stabilises the carbocation and speeds up the reaction. Don't confuse steric hindrance (which matters in SN2\mathrm{S_N2}) with carbocation stability.

Thus, the reactivity order is:

(C) tertiary > (B) secondary > (A) primary.

✓Final answer

The correct option is (ii) (C) > (B) > (A).

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