निम्न कोबाल्ट संकुलों को क्रिस्टल क्षेत्र स्थायीकरण ऊर्जा \((CFSE)\) मानों के बढ़ते क्रम में व्यवस्थित कीजिए। \(\left[{CoF}_{6}\right]^{3-},\left[{Co}\left({H}_{2} {O}\right)_{6}\right]^{2+},\left[{Co}\left({NH}_{3}\right)_{6}\right]^{3+}\) तथा \(\left[{Co}( en )_{3}\right]^{3+}\) \(\quad\quad\quad\quad\quad\quad A\quad\quad\quad\quad \quad B\quad\quad\quad\quad\quad\quad C\quad\quad\quad\quad\quad\quad D\) सही विकल्प चुनिए

A \(\mathrm{A}<\mathrm{B}<\mathrm{C}<\mathrm{D}\)
B \(\mathrm{B}<\mathrm{A}<\mathrm{C}<\mathrm{D}\)
C \(\mathrm{B}<\mathrm{C}<\mathrm{D}<\mathrm{A}\)
D \(\mathrm{C}<\mathrm{D}<\mathrm{B}<\mathrm{A}\)

Verified Solution

Answer & Solution

Correct Answer

(B) \(\mathrm{B}<\mathrm{A}<\mathrm{C}<\mathrm{D}\)

Step-by-step Solution

Detailed explanation

\((i)\) \(CFSE\) \(\propto\) charge or oxidation no. of central metal ion. \((ii)\) \(CFSE\) \(\propto\) strength of ligand \(\mathrm{en}>\mathrm{NH}_{3}>\mathrm{H}_{2} \mathrm{O}>\mathrm{F}^{-}\) \(\therefore\) order of \(CFSE\)…

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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पदार्थ	\(H _{2}\)	\(C\)(ग्रेफाईट)	\(C _{2} H _{6}( g )\)
\(\frac{\Delta_{ C } H ^{\Theta}}{ kJmol ^{-1}}\)	\(-286.0\)	\(-394.0\)	\(-1560.0\)

\(X\)	\(0\)	\(2\)	\(4\)	\(6\)	\(8\)
\(P(X)\)	\(a\)	\(2a\)	\(a+b\)	\(2b\)	\(3b\)