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NCERT Exemplar · Q24

Q.Consider the compounds I to VII:
I. CH3—CH2—CH2—CH2—OH
II. CH3—CH2—CH(OH)—CH3
III. (CH3)3C—OH
IV. CH3—CH(CH3)—CH2—OH
V. CH3—CH2—O—CH2—CH3
VI. CH3—O—CH2—CH2—CH3
VII. CH3—O—CH(CH3)2
Identify the pairs of compounds which are functional group isomers.

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Functional group isomers have the same molecular formula but different functional groups. Alcohols (−OH\ce{-OH}) and ethers (−O−\ce{-O-}) with the same carbon and hydrogen count are functional group isomers. The pairs are: I & V, I & VI, II & V, II & VI, II & VII, III & VII, IV & VI, IV & VII.

Functional group isomerism arises when two compounds share the same molecular formula but contain different functional groups. The classic example in organic chemistry is the alcohol–ether pair: both have the general formula CXnHX2n+2O\ce{C_nH_{2n+2}O}, but alcohols carry a hydroxyl group (−OH\ce{-OH}) while ethers have an oxygen bridge (−O−\ce{-O-}) between two carbon chains.

To identify functional group isomers here, we first sort the compounds by molecular formula, then pair alcohols with ethers that match.

Step-by-step identification

  1. Determine the molecular formula of each compound.

    CompoundStructureFunctional GroupMolecular Formula
    ICHX3CHX2CHX2CHX2OH\ce{CH3CH2CH2CH2OH}AlcoholCX4HX10O\ce{C4H10O}
    IICHX3CH(OH)CHX3\ce{CH3CH(OH)CH3}AlcoholCX4HX10O\ce{C4H10O}
    III(CHX3)X3COH\ce{(CH3)3COH}AlcoholCX4HX10O\ce{C4H10O}
    IVCHX3CH(CHX3)CHX2OH\ce{CH3CH(CH3)CH2OH}AlcoholCX4HX10O\ce{C4H10O}
    VCHX3CHX2OCHX2CHX3\ce{CH3CH2OCH2CH3}EtherCX4HX10O\ce{C4H10O}
    VICHX3OCHX2CHX2CHX3\ce{CH3OCH2CH2CH3}EtherCX4HX10O\ce{C4H10O}
    VIICHX3OCH(CHX3)X2\ce{CH3OCH(CH3)2}EtherCX4HX10O\ce{C4H10O}
  2. Notice that all seven compounds have the same molecular formula: CX4HX10O\ce{C4H10O}.

    This is the key observation. Since they all share CX4HX10O\ce{C4H10O}, any alcohol paired with any ether will be functional group isomers.

  3. Separate by functional group.

    • Alcohols: I, II, III, IV (four compounds)
    • Ethers: V, VI, VII (three compounds)
  4. Form all alcohol–ether pairs.

    Each of the four alcohols can pair with each of the three ethers:

    • I with: V, VI, VII → (I, V), (I, VI), (I, VII)
    • II with: V, VI, VII → (II, V), (II, VI), (II, VII)
    • III with: V, VI, VII → (III, V), (III, VI), (III, VII)
    • IV with: V, VI, VII → (IV, V), (IV, VI), (IV, VII) …

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