MHT CET · Chemistry · d and f Block Elements

\(\mathrm{Ce}^{4+}\) is stable. This is because of

A half-filled \(d\) -orbitals
B all paired electrons in \(d\) -orbitals
C empty orbital
D fully filled \(d\) -orbital

Verified Solution

Answer & Solution

Correct Answer

(C) empty orbital

Step-by-step Solution

Detailed explanation

The electronic configuration of Ce is
\(
\mathrm{Ce}_{58}=[\mathrm{Xe}] 4 f^{1} 5 d^{1} 6 s^{2} \text { (predicted) }
\)
or \(=[\mathrm{Xe}] 4 f^{2} 5 d^{0} 6 s^{2}\) (observed)
\(
\mathrm{Ce}^{4+}=[\mathrm{Xe}] 4 f^{0} 5 d^{0} 6 s^{0}
\)
Since, in \(+4\) oxidation state, all (ie, \(4 f, 5 d\) and \(6 s\) ) orbitals are empty and Ce gains the stable configuration of nearest inert gas, \(\mathrm{Ce}^{4+}\) is most stable.

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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