JEE Mains · Chemistry · STD 12 - 5. Co-ordination chemistry

નીચે આપેલા સંકીર્ણ સંયોજનોનો તેમની સ્ફટિક ક્ષેત્ર સ્થિરીકરણ ઊર્જાના સંદર્ભમાં સાચો ક્રમ _______ છે.

A \(\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_4\right]^{2+} \lt \left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right]^{2+} \lt \left[\mathrm{Co}(\mathrm{en})_3\right]^{3+} \lt \left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right]^{3+}\)
B \(\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right]^{2+} \lt \left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right]^{3+} \lt \left[\mathrm{Co}\left(\mathrm{NH}_3\right)_4\right]^{2+} \lt \left[\mathrm{Co}(\mathrm{en})_3\right]^{3+}\)
C \(\left[\mathrm{Co}(\mathrm{en})_3\right]^{3+} \lt \left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right]^{3+} \lt \left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right]^{2+} \lt \left[\mathrm{Co}\left(\mathrm{NH}_3\right)_4\right]^{2+}\)
D \(\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_4\right]^{2+} \lt \left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right]^{2+} \lt \left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right]^{3+} \lt \left[\mathrm{Co}(\mathrm{en})_3\right]^{3+}\)

Verified Solution

Answer & Solution

Correct Answer

(D) \(\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_4\right]^{2+} \lt \left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right]^{2+} \lt \left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right]^{3+} \lt \left[\mathrm{Co}(\mathrm{en})_3\right]^{3+}\)

Step-by-step Solution

Detailed explanation

સ્ફટિક ક્ષેત્ર વિભાજન ઊર્જા \((\Delta) \propto\) મધ્યસ્થ ધાતુ પરમાણુનો વીજભાર અથવા ઑક્સિડેશન અવસ્થા. સ્ફટિક ક્ષેત્ર વિભાજન ઊર્જા \((\Delta) \propto\) લિગેન્ડની ક્ષેત્ર પ્રબળતા (અને કિલેશન) સ્ફટિક ક્ષેત્ર સ્થિરીકરણ ઊર્જા (CFSE) \(=\left[-0.4 \mathrm{t}_{\mathrm{g}_g}\right.\)…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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