Step 1: Understanding the Question:
The question asks us to trace a multi-step organic synthesis starting from a half-ester of glutaric acid (methyl 4-carboxybutanoate) and identify the final product R.
Step 2: Key Formula or Approach:
1. Thionyl chloride ($\text{SOCl}_2$) converts carboxylic acids to acid chlorides.
2. Organocadmium reagents ($\text{R}_2\text{Cd}$) are mild nucleophiles that react selectively with acid chlorides to yield ketones, leaving esters untouched.
3. Grignard reagents (R'MgX) react with ketones (using 1 equivalent) to yield tertiary alcohols and with esters (using 2 equivalents) to yield tertiary alcohols containing two identical R' groups.
Step 3: Detailed Explanation:
• The starting material is a half-ester, methyl 4-carboxybutanoate:
\[ \text{MeOOC-CH}_2\text{-CH}_2\text{-CH}_2\text{-COOH} \]
• Step 1: Reaction with thionyl chloride ($\text{SOCl}_2$) targets the carboxylic acid group selectively, converting it to an acid chloride to produce compound P:
\[ \text{MeOOC-CH}_2\text{-CH}_2\text{-CH}_2\text{-COCl} \]
• Step 2: Reaction of P with dimethyl cadmium ($\text{Me}_2\text{Cd}$) selectively converts the highly reactive acid chloride group into a methyl ketone group, while the less reactive ester remains completely unreacted, forming Q:
\[ \text{MeOOC-CH}_2\text{-CH}_2\text{-CH}_2\text{-CO-CH}_3 \]
• Step 3: Compound Q is treated with three equivalents of ethyl magnesium bromide (EtMgBr):
itemize
• One equivalent of EtMgBr attacks the more electrophilic ketone group ($-\text{CO-CH}_3$) to form, after workup, a tertiary alcohol:
\[ -\text{C(OH)(Me)(Et)} \]
• Two equivalents of EtMgBr are required to react with the ester group ($-\text{COOMe}$). The first equivalent replaces the methoxy group to form an ethyl ketone intermediate, and the second equivalent immediately attacks this ketone to form a tertiary alcohol containing two ethyl groups:
\[ -\text{C(OH)(Et)}_2 \]
Water workup protonates both alkoxide intermediates to yield the diol product R:
\[ \text{Et}_2\text{C(OH)-CH}_2\text{-CH}_2\text{-CH}_2\text{-C(OH)(Me)(Et)} \]
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Step 4: Final Answer:
Therefore, the final product R is represented by the diol structure shown in Option A.