The radius of La3 Atomic number of La 57 is 106 Å Which... | null (Chemistry) | DivineJEE

Exam

Chemistry

The radius of La³⁺ (Atomic number of La = 57) is 1.06

\AA

. Which one of the following given values will be closest to the radius of Lu³⁺ (Atomic number of Lu = 71) ?

1.06

\text{\AA}

1.40

\text{\AA}

0.85

\text{\AA}

1.06

\text{\AA}

Correct Answer:

\begin{aligned} & \text{Ionic radii} \propto \frac{1}{Z} \\[1em] & \text{Thus, } \frac{r_{La}}{r_{Lu}} = \frac{Z_{Lu}}{Z_{La}} \\ & \implies \frac{1.06}{\text{Ionic radii of } \mathrm{Lu}^{3+}} = \frac{71}{57} \\[1em] & \implies \text{Ionic radii of } \mathrm{Lu}^{3+} = 0.85 \, \mathring{\mathrm{A}} \end{aligned}

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