नीचे दो कथन दिए गये हैं। कथन \(I : Ce ^{4+} / Ce ^{3+}\) के लिए \(E ^{\circ}\) का मान \(+1.74\, V\) है। कथन \(II\) : \(Ce ^{3+}\) अवस्था की अपेक्षा \(Ce ^{4+}\) अवस्था में \(Ce\) अधिक अस्थायी है। नीचे दिए विकल्पों में से उपरोक्त कथनों के लिए सर्वाधिक उचित उत्तर चुनिए

A दोनो कथन \(I\) तथा कथन \(II\) सत्य हैं।
B कथन \(I\) असत्य है परन्तु कथन \(II\) सत्य है।
C दोनों कथन \(I\) तथा कथन \(II\) असत्य हैं।
D कथन \(I\) सत्य है परन्तु कथन \(II\) असत्य है।

Verified Solution

Answer & Solution

Correct Answer

(D) कथन \(I\) सत्य है परन्तु कथन \(II\) असत्य है।

Step-by-step Solution

Detailed explanation

The \(E ^{\circ}\) value for \(Ce ^{4+} / Ce ^{3+}\) is \(+1.74 V\) because the most stable oxidation state of lanthanide series elements is \(+3\) . It means \(Ce ^{3+}\) is more stable than \(Ce ^{4+}\)

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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