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The statement that [Ni(NH3)6]2+ is less stable than [Ni(en)3]2+ in terms of entropy is incorrect. [Ni(en)3]2+ is actually less stable than [Ni(NH3)6]2+ in terms of entropy. Here's why:
Entropy and Complex Formation: Entropy generally increases when a reaction creates more disorder. In complex formation, this means more particles are present in solution.
Chelation Effect: Ethylenediamine (en) is a bidentate ligand (can bind to the metal ion at two points), while ammonia (NH3) is monodentate (binds at one point). When en binds to Ni2+, it forms a chelate ring. Chelation increases the entropy of the system because it removes more free molecules from solution, resulting in a more ordered state.
Therefore, [Ni(en)3]2+ has lower entropy compared to [Ni(NH3)6]2+ due to the chelate effect, making it less stable entropically.