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NCERT Exemplar · Q3

Q.What is the correct order of reactivity of alcohols in the following reaction?
R-OH+HCl→anhyd. ZnCl2R-Cl+H2OR\text{-}OH + HCl \xrightarrow{\text{anhyd. } ZnCl_2} R\text{-}Cl + H_2O

(i) 1∘>2∘>3∘1^\circ > 2^\circ > 3^\circ
(ii) 1∘<2∘>3∘1^\circ < 2^\circ > 3^\circ
(iii) 3∘>2∘>1∘3^\circ > 2^\circ > 1^\circ
(iv) 3∘>1∘>2∘3^\circ > 1^\circ > 2^\circ
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The reaction is the Lucas test, where alcohols react with HCl in the presence of anhydrous ZnCl2. The reactivity order follows carbocation stability: tertiary > secondary > primary. The correct option is (iii).

This question is about the Lucas test, a classic qualitative test used to distinguish between primary, secondary, and tertiary alcohols. The reagent is a mixture of concentrated HCl and anhydrous ZnCl2 (called Lucas reagent). The reaction converts an alcohol into an alkyl chloride, and the rate depends entirely on how easily the alcohol can form a carbocation intermediate.

Why does ZnCl2 help? ZnCl2 is a Lewis acid. It coordinates to the oxygen of the alcohol, making the O–H bond more polar and the hydroxyl group a better leaving group (as water). This turns a poor leaving group (OH-) into a good one (H2O). Once water leaves, a carbocation forms — and the stability of that carbocation dictates the reaction speed.

  1. Mechanism matters. The reaction proceeds via an SN1 mechanism for tertiary and secondary alcohols (and for primary alcohols under these conditions, it's SN2, but very slow). In SN1, the rate-determining step is the formation of the carbocation. So the more stable the carbocation, the faster the reaction.

  2. Carbocation stability order. Tertiary carbocations are the most stable (three alkyl groups donate electron density via hyperconjugation and inductive effect). Secondary are less stable, and primary are the least stable (and primary carbocations are so unstable they rarely form at all under normal conditions). So the expected reactivity is:

    3∘>2∘>1∘3^\circ > 2^\circ > 1^\circ

  3. What about option (ii)? Option (ii) says 1∘<2∘>3∘1^\circ < 2^\circ > 3^\circ, which would mean secondary is faster than tertiary — that contradicts carbocation stability. So (ii) is wrong.

  4. What about option (iv)? Option (iv) says 3∘>1∘>2∘3^\circ > 1^\circ > 2^\circ, which would put primary above secondary — also impossible given the stability trend.

  5. Why not (i)? Option (i) says 1∘>2∘>3∘1^\circ > 2^\circ > 3^\circ, which is the opposite of the correct order. That would be true only if the reaction were SN2 and the nucleophile attacked the carbon directly — but here, the conditions (anhydrous ZnCl2, HCl) favour SN1 for all but the simplest alcohols.

Watch out

A common mistake is to think that because primary alcohols react fastest in SN2 reactions (like with HBr or HI without ZnCl2), they should also react fastest here. But the Lucas test is specifically designed to exploit carbocation stability — ZnCl2 makes the leaving group so good that even secondary alcohols go through an SN1 pathway. Primary alcohols react so slowly that they are considered unreactive at room temperature in the Lucas test.

Tip

In the Lucas test, the time taken for the solution to turn cloudy (due to the formation of the insoluble alkyl chloride) is the practical measure: tertiary alcohols react instantly, secondary alcohols react in 5–10 minutes, and primary alcohols do not react at room temperature. This directly confirms the order 3∘>2∘>1∘3^\circ > 2^\circ > 1^\circ.

✓Final answer

The correct order of reactivity is 3∘>2∘>1∘3^\circ > 2^\circ > 1^\circ, which corresponds to option (iii).

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