Match List I with List II:
| List I | List II |
| A. \(E^o_{M^{2+}/M}\) for \(Zn\) is negative | I. due to almost identical radii |
| B. \(Cr^{2+}\) is a reducing agent | II. Ionic character decreases as oxidation number of the metal increases |
| C. \(V_2O_5\) has a low melting point | III. \(Zn^{2+}\) is more stable than \(Zn\) |
| D.\(Zr\) and \(Hf\) occur together in nature | IV. It attains stable half-filled \(t_{2g}\) level |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → A-III, B-IV, C-II, D-I
Each fact about these transition metals follows from the stability of a particular electron configuration or from the size of the atom:
(A) E°(M2+/M) for Zn is negative — This matches (III) Zn2+ is more stable than Zn. Zn (Z = 30) is [Ar]3d104s2; removing the two 4s electrons leaves the stable, completely filled 3d10 configuration, so zinc readily forms \( \ce{Zn^2+} \) (E° = −0.76 V).
(B) Cr2+ is a reducing agent — This matches (IV) It attains stable half-filled t2g level. Cr (Z = 24) is [Ar]3d54s1, so \( \ce{Cr^2+} \) is d4. By giving up one electron it becomes \( \ce{Cr^3+} \), d3 = t2g3, a half-filled t2g level.
\( \displaystyle \ce{Cr^2+ -> Cr^3+ + e^-} \)
(C) V2O5 has a low melting point — This matches (II) Ionic character decreases as oxidation number of the metal increases. In \( \ce{V2O5} \), 2x + 5(−2) = 0 gives V = +5. A metal in such a high oxidation state polarises the oxide ion strongly, so the oxide is largely covalent and melts at a low temperature.
(D) Zr and Hf occur together in nature — This matches (I) due to almost identical radii. Because of the lanthanoid contraction, Zr (160 pm) and Hf (159 pm) have nearly the same size and very similar chemistry, so they occur together and are hard to separate.