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The basic strength of an amine or a heterocyclic nitrogen compound depends directly on the availability of its lone pair of electrons on the nitrogen atom to accept a proton ($$\text{H}^+$$). If the lone pair is highly localized, the compound is more basic; if it is delocalized due to resonance or held tightly by a more electronegative orbital, the basicity drops significantly.
1. Piperidine
Piperidine is a cyclic secondary aliphatic amine. The nitrogen atom is completely $$\text{sp}^3$$ hybridized, and its lone pair of electrons is highly localized in an $$\text{sp}^3$$ orbital. Since it does not participate in resonance and benefits from the electron-donating inductive effect ($$+I$$) of the adjacent alkyl ring chain, piperidine is the most basic compound among the three.
2. Pyridine
In pyridine, the nitrogen atom is part of an aromatic ring and is $$\text{sp}^2$$ hybridized. The lone pair of electrons resides in an $$\text{sp}^2$$ hybrid orbital that lies within the plane of the ring, meaning it is perpendicular to the $$\pi$$ system and does not participate in aromaticity. It is available for protonation, but because an $$\text{sp}^2$$ hybridized nitrogen is more electronegative than an $$\text{sp}^3$$ nitrogen, it holds its electrons more tightly. Therefore, pyridine is significantly less basic than piperidine.
3. Pyrrole
In pyrrole, the lone pair on the nitrogen atom is actively involved in the aromatic ring system to satisfy Hückel's rule ($$6\pi$$ electrons). Because these electrons are fully delocalized within the aromatic ring, donating them to a proton would destroy the molecule's aromatic stabilization. This makes pyrrole an exceptionally weak base, placing it as the least basic compound in the group.
Combining the hybridization and delocalization factors, the correct decreasing order of basic strength is:
$$\mathbf{\text{Piperidine} > \text{Pyridine} > \text{Pyrrole}}$$
Answer: Option D — Piperidine > Pyridine > Pyrrole
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