Step 1: Understanding the Concept:
Basicity of amines is measured by the base dissociation constant \(K_b\). A higher \(pK_b\) value indicates a weaker base.
Basicity in aqueous phase is influenced by the inductive effect, solvation effect (hydration), and steric hindrance.
Step 2: Detailed Explanation:
1. Aliphatic amines (Methanamine, Ethanamine) are significantly more basic than aromatic amines because alkyl groups are electron-releasing (\(+I\) effect).
2. Aromatic Amines (Benzenamine/Aniline): The lone pair of electrons on the nitrogen atom is involved in resonance with the benzene ring. This makes the lone pair less available for protonation.
3. Therefore, aromatic amines are very weak bases.
4. Between Benzenamine (\(1^\circ\) aromatic) and N-methylbenzenamine (\(2^\circ\) aromatic), the latter is slightly more basic due to the \(+I\) effect of the methyl group.
5. Thus, Benzenamine is the weakest base in the list and has the highest \(pK_b\).
Step 3: Final Answer:
Benzenamine has the highest \(pK_b\) value.