Step 1: Understanding the Concept:
The acidity of alkyl groups on a pyridine ring depends on the position relative to the nitrogen atom. Benzylic-type carbanions at the 2- (\(\alpha\)) and 4- (\(\gamma\)) positions are stabilized by resonance involving the electronegative nitrogen.
Step 2: Key Formula or Approach:
Acidity order of methyl groups in pyridines: \(\gamma>\alpha \gg \beta\).
LDA (Lithium diisopropylamide) is a strong, hindered base used for kinetic deprotonation.
Step 3: Detailed Explanation:
1. Deprotonation: In 3,4-dimethylpyridine, the methyl group at the 4-position (\(\gamma\)) is significantly more acidic than the one at the 3-position (\(\beta\)). This is because the negative charge on the 4-picolyl carbanion can be delocalized directly onto the nitrogen atom, whereas the 3-picolyl carbanion cannot.
2. Reaction with LDA: LDA selectively removes a proton from the more acidic C4-methyl group to form a stabilized organolithium intermediate.
3. Alkylation: This nucleophilic carbanion then attacks allyl bromide (\(CH_2=CHCH_2Br\)) via an \(S_N2\) mechanism, attaching the allyl group to the C4 position.
Step 4: Final Answer:
The product P is 3-methyl-4-(but-3-enyl)pyridine.