Analyzing the Setup
We are given a reaction involving phenol and an allylic bromide, specifically 1-bromo-3-methylbut-2-ene
The reaction conditions specify the use of potassium carbonate (K2CO3) and acetone.
Our primary objective is to determine the major product, with a crucial constraint provided by the question: the reaction proceeds strictly via an SN2 mechanism.
The Role of the Base
The first step in this chemical journey is understanding the role of potassium carbonate. K2CO3 acts as a mild base.
Phenol is a weak acid, possessing an acidic proton on its hydroxyl group. The base abstracts this proton in an acid-base reaction.
This deprotonation generates the phenoxide ion (PhO−). The oxygen atom now carries a full negative charge, transforming it into a highly potent nucleophile ready to seek out an electron-deficient center.
The Master Equation: SN2 Execution
With our nucleophile ready, we turn our attention to the alkyl halide
Acetone, a polar aprotic solvent, is the perfect environment for this. It dissolves the reactants but does not strongly solvate the phenoxide ion, keeping its nucleophilicity high.
The question explicitly dictates an SN2 mechanism. In an SN2 reaction, the nucleophile attacks the electrophilic carbon from the backside, and the leaving group departs simultaneously in a single, concerted step.
Crucially, no carbocation intermediate is formed. The phenoxide oxygen directly attacks the primary carbon attached to the bromine atom, pushing the bromide ion out.
Final Calculation and Conclusion
As the bromide leaves, the oxygen forms a new, stable ether bond with the CH2 group.
Because the reaction is strictly SN2, the rest of the allylic chain remains completely unchanged. There is no opportunity for the double bond to shift or for carbocation rearrangements to occur.
The final resulting product is phenyl 3-methylbut-2-enyl ether. Comparing this structure to our given options, it perfectly matches option (d).
The Way Forward
It is worth pondering: what if the SN2 mechanism wasn't specified? Allylic halides are notorious for undergoing SN1 reactions because they can form highly stable, resonance-delocalized allylic carbocations.
If an SN1 pathway were allowed, we would likely see a mixture of products, including attack at the more substituted tertiary carbon. However, the strict SN2 constraint simplifies our path, leading directly to the un-rearranged substitution product. Always read the reaction conditions carefully!