Step 1: Understanding the reaction.
When C$_3$H$_7$Br reacts with aqueous KOH, the reaction is typically a nucleophilic substitution, where the bromine atom is replaced by a hydroxyl group. This is a typical alcohol formation reaction.
Step 2: Identifying the isomers.
The compound C$_3$H$_7$Br can exist as several structural isomers. These isomers are:
- 1-Bromopropane
- 2-Bromopropane
- Isopropyl bromide (propyl bromide)
Step 3: Optically active products.
When these isomers react with KOH, they can form alcohols. The formation of optically active products requires the formation of a chiral center. For example:
- In the case of 1-bromopropane, the product is propan-2-ol, which is optically active.
- In the case of 2-bromopropane, the product is also optically active.
- The reaction of isopropyl bromide leads to a non-chiral product (propan-2-ol is achiral), which does not form optically active products.
Step 4: Conclusion.
Thus, the total number of optically active products is 6.