To determine the number of stereoisomers formed in the reaction of (±) Ph(C=O)C(OH)(CN)Ph with HCN, we start by analyzing the stereochemistry involved. The initial molecule has a chiral center at C(OH)(CN), giving it two enantiomers in its racemic form (R and S configurations).
The reaction with HCN introduces a nucleophile (CN
-) to the carbonyl group (C=O), generating a new chiral center adjacent to the existing one due to the formation of a cyanohydrin.
Each chiral center can exist in either the R or S configuration, and their combinations result in different stereoisomers. The formula to determine the number of stereoisomers is 2
n, where n is the number of chiral centers.
In this reaction:
- Initial chiral center: 1
- New chiral center from cyanohydrin formation: 1
Total chiral centers = 2.
Thus, the number of stereoisomers = 2
2 = 4.
This computation shows the number of stereoisomers formed (4) falls within the specified range of 3 to 3, verifying the reaction produces an expected diversity in stereochemistry.