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Q.Among all the isomers of molecular formula C4H9BrC_4H_9Br, identify

(a) the one isomer which is optically active.
(b) the one isomer which is highly reactive towards SN2S_N2.
(c) the two isomers which give same product on dehydrohalogenation with alcoholic KOH.
CBSECBSE Class XII Board 2019Subjective· 3mImportance★★★★★
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The four structural isomers of C4H9BrC_4H_9Br differ in carbon skeleton and bromine position. (a) 2-bromobutane has a chiral center and is optically active; (b) 1-bromobutane (primary halide) is most reactive toward SN2S_N2; (c) 2-bromo-2-methylpropane and 2-bromobutane both eliminate to give 2-methylpropene.

The molecular formula C4H9BrC_4H_9Br represents butyl bromides—four carbons with one bromine substituent. The key to this problem lies in recognizing that different placements of the bromine atom on different carbon skeletons create isomers with dramatically different chemical behavior.

Structural isomers have the same molecular formula but different connectivity. For C4H9BrC_4H_9Br, we can build two carbon skeletons: a straight four-carbon chain (butane) and a branched three-carbon chain with a methyl group (isobutane). On each skeleton, bromine can occupy different positions.

The four isomers are:

IsomerStructureClassificationKey Feature
1-BromobutaneCH3CH2CH2CH2BrCH_3CH_2CH_2CH_2BrPrimary (1°1°)Br on terminal carbon
2-BromobutaneCH3CH2CHBrCH3CH_3CH_2CHBrCH_3Secondary (2°2°)Br on C-2, creates chirality
1-Bromo-2-methylpropane(CH3)2CHCH2Br(CH_3)_2CHCH_2BrPrimary (1°1°)Br on terminal of branched chain
2-Bromo-2-methylpropane(CH3)3CBr(CH_3)_3CBrTertiary (3°3°)Br on fully substituted carbon

Now let's address each part systematically.

(a) Optically Active Isomer

Optical activity requires a chiral center—a carbon atom bonded to four different groups. Scan each isomer:

  1. 1-Bromobutane: The carbon bearing Br is bonded to BrBr, HH, HH, and CH2CH2CH3CH_2CH_2CH_3—two hydrogens make it achiral.

  2. 2-Bromobutane: The C-2 carbon is bonded to BrBr, HH, CH3CH_3, and CH2CH3CH_2CH_3—four different groups! This is a chiral center.

  3. 1-Bromo-2-methylpropane: The carbon with Br has two hydrogens—achiral.

  4. 2-Bromo-2-methylpropane: The central carbon is bonded to BrBr and three CH3CH_3 groups—three identical groups, so achiral.

Important

A chiral carbon must have four different substituents. Even if a molecule looks asymmetric, identical groups destroy chirality at that center.

The optically active isomer is 2-bromobutane (CH3CH2CHBrCH3CH_3CH_2CHBrCH_3).

(b) Most Reactive Toward SN2S_N2

The SN2S_N2 mechanism involves backside attack by a nucleophile, with the rate depending on steric accessibility of the carbon bearing the leaving group. Reactivity order: 1°>2°>3°1° > 2° > 3° (tertiary halides essentially cannot undergo SN2S_N2 due to steric hindrance).

Among our isomers:

  • Primary halides: 1-bromobutane and 1-bromo-2-methylpropane
  • Secondary halide: 2-bromobutane
  • Tertiary halide: 2-bromo-2-methylpropane

Between the two primary halides, 1-bromobutane has a straight chain with minimal steric crowding around the reactive carbon, while 1-bromo-2-methylpropane has a bulky isopropyl group one carbon away (β-branching), which creates some steric hindrance during the transition state.

Tip

In SN2S_N2 reactions, even branching at the β-position (one carbon away) slows the reaction because the transition state is crowded. A straight-chain primary halide is always the most reactive.

The most reactive isomer toward SN2S_N2 is 1-bromobutane (CH3CH2CH2CH2BrCH_3CH_2CH_2CH_2Br). …

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