Question:

$\text{2-chlorobutane} + \text{Cl}_2 \rightarrow \text{C}_4\text{H}_8\text{Cl}_2 \, (\text{isomers})$
$\text{Total number of optically active isomers shown by} \, \text{C}_4\text{H}_8\text{Cl}_2, \, \text{obtained in the above reaction is} \, \_\_\_\_\_\_.$

Updated On: Nov 18, 2024
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Correct Answer: 6

Solution and Explanation

When 2-chlorobutane reacts with chlorine (Cl2) under light (Cl2/hv), multiple isomers of C4H8Cl2 are formed due to the possible substitution of hydrogen atoms by chlorine at different positions.

To determine the number of optically active isomers, we follow this approach:

The reaction yields several structural isomers of C4H8Cl2 depending on the position where chlorine substitutes. Some of these isomers exhibit chirality due to the presence of chiral centers (carbon atoms bonded to four different groups).

Among the possible isomers, six have chiral centers, making them optically active. These isomers can exist as enantiomers (mirror-image pairs), further contributing to their optical activity.

The total number of optically active isomers formed in this reaction is 6.

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