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Exercises · 6.21

Q.Primary alkyl halide C4H9BrC_4H_9Br

(a) reacted with alcoholic KOH to give compound (b). Compound
(b) is reacted with HBr to give
(c) which is an isomer of (a). When
(a) is reacted with sodium metal it gives compound (d), C8H18C_8H_{18} which is different from the compound formed when n-butyl bromide is reacted with sodium. Give the structural formula of
(a) and write the equations for all the reactions.
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The key is that (a) is a primary alkyl halide with formula C4H9BrC_4H_9Br, but its reaction with sodium gives a C8H18C_8H_{18} product different from that of n-butyl bromide — this forces (a) to be isobutyl bromide. The sequence then proceeds through elimination, addition, and Wurtz coupling.

Let’s unpack this step by step. The problem is about structural isomerism and how different isomers behave differently in reactions. The formula C4H9BrC_4H_9Br has four isomers, of which only two are primary — and only one fits the entire puzzle.


1. Identify the possible primary alkyl halides with formula C4H9BrC_4H_9Br

A primary alkyl halide has the bromine attached to a terminal carbon. The four isomers of C4H9BrC_4H_9Br are:

  • n-Butyl bromide: CH3CH2CH2CH2BrCH_3CH_2CH_2CH_2Br
  • Isobutyl bromide: (CH3)2CHCH2Br(CH_3)_2CHCH_2Br
  • sec-Butyl bromide: CH3CH2CHBrCH3CH_3CH_2CHBrCH_3 — but this is secondary, not primary, so it’s out.
  • tert-Butyl bromide: (CH3)3CBr(CH_3)_3CBr — tertiary, also out.

So only two primary isomers exist: n-butyl bromide and isobutyl bromide. The problem says (a) is primary, so (a) must be one of these two.


2. Reaction of (a) with alcoholic KOH gives (b) — an elimination

Alcoholic KOH favours elimination (dehydrohalogenation) over substitution. For a primary halide, the major product is the more substituted alkene (Saytzeff’s rule), but with only one possible alkene from each:

  • n-Butyl bromide gives 1-butene: CH3CH2CH=CH2CH_3CH_2CH=CH_2
  • Isobutyl bromide gives 2-methylpropene: (CH3)2C=CH2(CH_3)_2C=CH_2

So (b) is either 1-butene or 2-methylpropene.


3. Compound (b) reacts with HBr to give (c), an isomer of (a)

Addition of HBr to an alkene follows Markovnikov’s rule — the hydrogen adds to the less substituted carbon, bromine to the more substituted.

  • If (b) is 1-butene: HBr adds to give 2-bromobutane (secondary), which has formula C4H9BrC_4H_9Br but is not a primary halide — it’s an isomer of (a), but (a) is primary. That’s fine: (c) just needs to be an isomer, not necessarily primary.
  • If (b) is 2-methylpropene: HBr adds to give tert-butyl bromide (tertiary), also an isomer of (a).

Both possibilities give an isomer of (a). So this step alone doesn’t decide.


4. Reaction of (a) with sodium metal gives (d), C8H18C_8H_{18} — the Wurtz reaction

The Wurtz reaction couples two alkyl halides with sodium:

2RBr+2Na→R−R+2NaBr2RBr + 2Na \rightarrow R-R + 2NaBr

For n-butyl bromide, the product is n-octane: CH3(CH2)6CH3CH_3(CH_2)_6CH_3

For isobutyl bromide, the product is 2,5-dimethylhexane: (CH3)2CHCH2CH2CH(CH3)2(CH_3)_2CHCH_2CH_2CH(CH_3)_2

The problem states that (d) is different from the compound formed when n-butyl bromide is reacted with sodium. That means (a) cannot be n-butyl bromide — because if it were, (d) would be n-octane, which is exactly what n-butyl bromide gives. So (a) must be isobutyl bromide.

Watch out

A common mistake is to assume that the Wurtz product from isobutyl bromide is the same as from n-butyl bromide — but they are structural isomers. n-Octane is a straight chain; 2,5-dimethylhexane is branched. They are different compounds.

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