Question:

Out of ‘X’ and ‘Y’ , which one will form product with inversion of configuration and why?

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Think of $S_N2$ as an "umbrella flipping inside out" during a storm to remember the concept of inversion.
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Solution and Explanation

Step 1: Understanding the Concept:
Inversion of configuration (Walden Inversion) occurs in \( S_N2 \) reactions.
Step 2: Detailed Explanation:
Compound 'Y' follows the \( S_N2 \) mechanism as the rate depends on both reactants.
In \( S_N2 \), the nucleophile (\( OH^- \)) attacks the carbon atom from the side opposite to the leaving group (\( Br^- \)).
As the bond with the nucleophile forms and the bond with the leaving group breaks simultaneously, the configuration of the carbon atom flips like an umbrella in a strong wind.
This results in a product with 100% inversion of configuration.
Step 3: Final Answer:
Y forms a product with inversion of configuration due to the backside attack of the nucleophile in the \( S_N2 \) process.
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