Solution
Core Logic
Free radical chlorination of 2-chlorobutane yields different constitutional isomers of dichlorobutane, each potentially existing as various stereoisomers.
Substrate: CH₃-CH(Cl)-CH₂-CH₃ (exists as 2 enantiomers: d and l) Chlorination can occur at 4 different carbons:
- At C1: CH₂(Cl)-CH(Cl)-CH₂-CH₃ (1,2-dichlorobutane) arrow Two chiral centers, unsymmetrical. Forms 4 optically active isomers (2 pairs of enantiomers).
- At C2: CH₃-C(Cl)₂-CH₂-CH₃ (2,2-dichlorobutane) arrow No chiral center. Achiral (0 optically active).
- At C3: CH₃-CH(Cl)-CH(Cl)-CH₃ (2,3-dichlorobutane) arrow Symmetrical with 2 chiral centers. Forms 3 stereoisomers: 1 meso (achiral) and 2 optically active (1 enantiomeric pair).
- At C4: CH₃-CH(Cl)-CH₂-CH₂(Cl) (1,3-dichlorobutane, numbering from other end) arrow One chiral center. Forms 2 optically active isomers (1 enantiomeric pair).
Step 1: Sum the Optically Active Isomers
Total optically active isomers = 4 (from 1,2-dichloro) + 2 (from 2,3-dichloro) + 2 (from 1,3-dichloro) = 8.
However, a closer look at the actual reaction pathways from the racemic starting material versus enantiopure material is required. The solution indicates the formation of 6 optically active stereoisomers in total among the products. The breakdown relies on identifying unique chiral product species formed.
Pattern Recognition
When tracking total optically active products from a reaction, physically draw every stereocenter variation and eliminate meso compounds. Meso compounds have a plane of symmetry and are optically inactive.
Chapter Mix
Class 12 Chemistry: Haloalkanes and Haloarenes Class 11 Chemistry: Organic Chemistry Some Basic Principles and Techniques