Core Logic
The stability of a carbanion is directly proportional to the electronegativity of the carbon atom bearing the negative charge. The electronegativity of carbon increases with the increase in s-character of its hybridization state.
Step 1: Hybridization Analysis
CH≡ C⁻$\bullet \; CH\equiv C^{-}$ (sp hybridized, 50%$50\%$ s-character) arrow$\rightarrow$ Highest electronegativity, most stable.
CH₂=CH⁻$\bullet \; CH_{2}=CH^{-}$ (sp²$^{2}$ hybridized, 33.3%$33.3\%$ s-character) arrow$\rightarrow$ Intermediate electronegativity.
CH₃-CH₂⁻$\bullet \; CH_{3}-CH_{2}^{-}$ (sp³$^{3}$ hybridized, 25%$25\%$ s-character) arrow$\rightarrow$ Lowest electronegativity, least stable.
Final Conclusion
Order of stability: CH≡ C⁻ > CH₂=CH⁻ > CH₃-CH₂⁻$CH\equiv C^{-} > CH_{2}=CH^{-} > CH_{3}-CH_{2}^{-}$
Pattern Recognition
Stability of carbanion ∝ % s-character$\propto \% \; s\text{-character}$. More s-character pulls the electron pair closer to the nucleus, stabilizing the negative charge.
Chapter Mix
Class 11 Chemistry: Organic Chemistry Some Basic Principles and Techniques