To resolve this, we must correlate the complex ions in List I with their corresponding electronic configurations from List II.
Each complex ion's electronic configuration will be determined by its central metal's oxidation state and coordination chemistry principles.
- A. \([\text{Cr}(\text{H}_2\text{O})_6]^{3+}\)
- Cr exhibits a +3 oxidation state.
- Cr's electronic configuration is \([\text{Ar}] 3d^5 4s^1\).
- Cr3+ achieves a \(3d^3\) configuration by losing 3 electrons.
- For octahedral complexes, the electron configuration is \(t_{2g}^3 e_g^0\).
- This corresponds to II.
- B. \([\text{Fe}(\text{H}_2\text{O})_6]^{3+}\)
- Fe is in the +3 oxidation state.
- Fe's electronic configuration is \([\text{Ar}] 3d^6 4s^2\).
- Fe3+ has a \(3d^5\) configuration after losing 3 electrons.
- In octahedral complexes, the electron configuration is \(t_{2g}^3 e_g^2\).
- This corresponds to III.
- C. \([\text{Ni}(\text{H}_2\text{O})_6]^{2+}\)
- Ni has a +2 oxidation state.
- Ni's electronic configuration is \([\text{Ar}] 3d^8 4s^2\).
- Ni2+, after losing 2 electrons, has a \(3d^8\) configuration.
- For octahedral complexes, the electron configuration is \(t_{2g}^6 e_g^2\).
- This corresponds to IV.
- D. \([\text{V}(\text{H}_2\text{O})_6]^{3+}\)
- V is in the +3 oxidation state.
- V's electronic configuration is \([\text{Ar}] 3d^3 4s^2\).
- V3+ loses 3 electrons, resulting in a \(3d^2\) configuration.
- In octahedral complexes, the electron configuration is \(t_{2g}^2 e_g^0\).
- This corresponds to I.
The derived matching is:
A-II, B-III, C-IV, D-I
Therefore, the correct answer is:
A-II, B-III, C-IV, D-I