Question
Question: In which of the following 2nd anion is more stable than first?...
In which of the following 2nd anion is more stable than first?

O2N−CH2e and F−CH2e
CF3e and CCl3
F3C−CH2e and Cl3C−CH2e
CH3−∣∣C−CH2e and H2N−CH2e
(b)
Solution
The stability of carbanions is enhanced by electron-withdrawing groups.
(a) O2N−CH2e is stabilized by strong resonance (-R) and inductive (-I) effects of the NO2 group. F−CH2e is stabilized only by the inductive (-I) effect of F. Resonance stabilization is much stronger than inductive stabilization. So, the first anion is more stable.
(b) CF3e vs CCl3e. While F has a stronger -I effect than Cl, Cl (a third-period element) can stabilize the carbanion by accepting electron density into its vacant 3d orbitals (d-orbital resonance/negative hyperconjugation). F (a second-period element) does not have accessible d-orbitals. This d-orbital stabilization in CCl3e is a more significant factor than the stronger -I effect in CF3e. Therefore, CCl3e is more stable than CF3e.
(c) F3C−CH2e vs Cl3C−CH2e. The CF3 group is a stronger electron-withdrawing group by induction (-I) than the CCl3 group. Thus, F3C−CH2e is more stable.
(d) CH3−∣∣C−CH2e is strongly stabilized by resonance with the carbonyl group, delocalizing the negative charge onto oxygen. H2N−CH2e is destabilized by the lone pair of nitrogen (positive resonance effect) and only weakly stabilized by the inductive effect of nitrogen. So, the first anion is more stable.