Step 1: Identify the reaction type
The given reaction:
\[
\text{3-Bromo-2-methylpentane} \xrightarrow{\text{alc.\ KOH
\]
involves an alkyl halide treated with alcoholic KOH.
Alcoholic KOH acts as a strong base and favors
E2 elimination (dehydrohalogenation), in which a hydrogen atom and a halogen atom are removed from adjacent carbons to form an alkene.
Step 2: Structure of the reactant and identification of $\alpha$ and $\beta$ carbons
Structure of 3-Bromo-2-methylpentane:
\[
\mathrm{CH_3 - CH(CH_3) - CH(Br) - CH_2 - CH_3}
\]
- $\alpha$-carbon: Carbon bearing Br (C3)
- $\beta$-carbons: Adjacent carbons (C2 and C4)
Step 3: Possible elimination pathways
(i) Elimination from C2 ($\beta_1$) and C3 ($\alpha$):
Removal of H from C2 and Br from C3 gives:
\[
\mathrm{CH_3 - C(CH_3)=CH - CH_2 - CH_3}
\]
This is
2-Methylpent-2-ene.
(ii) Elimination from C4 ($\beta_2$) and C3 ($\alpha$):
Removal of H from C4 and Br from C3 gives:
\[
\mathrm{CH_3 - CH(CH_3) - CH=CH - CH_3}
\]
This is
4-Methylpent-2-ene.
Step 4: Apply Zaitsev's rule
According to Zaitsev's rule, the major product is the more substituted alkene.
- 2-Methylpent-2-ene $\rightarrow$ more substituted (more stable)
- 4-Methylpent-2-ene $\rightarrow$ less substituted
Hence, the major product is:
\[
\mathrm{2\text{-}Methylpent\text{-}2\text{-}ene}
\]
Step 5: Conclusion
\[
\boxed{\text{2-Methylpent-2-ene is the major product
\]