AP EAMCET · Chemistry · Classification of Elements and Periodicity in Properties

Which one of the following is the correct order of ionic radii?

A \(\mathrm{Pr}^{3+} > \mathrm{Gd}^{3+} > \mathrm{Tm}^{3+}\)
B \(\mathrm{Pr}^{3+} < \mathrm{Gd}^{3+} < \mathrm{Tm}^{3+}\)
C \(\mathrm{Pr}^{3+} > \mathrm{Tm}^{3+} > \mathrm{Gd}^{3+}\)
D \(\mathrm{Pr}^{3+} < \mathrm{Tm}^{3+} < \mathrm{Gd}^{3+}\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(\mathrm{Pr}^{3+} > \mathrm{Gd}^{3+} > \mathrm{Tm}^{3+}\)

Step-by-step Solution

Detailed explanation

In \(4 f\)-series, as the atomic number increases from \(\mathrm{La}\) to \(\mathrm{Lu}\) the atomic and ionic radii decreases gradually. This decrease in atomic and ionic size from lanthanum to lutetium is due to lanthanide contraction. Hence, the correct order of ionic radii…

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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