To solve this problem, we need to evaluate the color of different metal ions in aqueous solutions, which depends on their electronic configuration and the nature of their d-orbitals.
1. Electronic Configurations and Oxidation States:
The color of a metal ion in solution is often due to d-d transitions in the case of transition metal ions. For the following ions, we need to determine if both are colored in aqueous solutions:
- Scandium (Sc): The electronic configuration of Sc is [Ar] 3d1 4s2. In its +3 oxidation state, Sc has the configuration [Ar], which means it has no d-electrons and does not show color in aqueous solution.
- Titanium (Ti): The electronic configuration of Ti is [Ar] 3d2 4s2. In its +3 oxidation state, Ti has the configuration [Ar] 3d1, which makes it colored in aqueous solution due to d-d transitions.
- Nickel (Ni): The electronic configuration of Ni is [Ar] 3d8 4s2. In its +2 oxidation state, Ni has the configuration [Ar] 3d8, and the Ni2+ ion is colored due to the presence of d-electrons.
- Copper (Cu): The electronic configuration of Cu is [Ar] 3d10 4s1. In its +2 oxidation state, Cu has the configuration [Ar] 3d9, and Cu2+ is colored in aqueous solution due to d-d transitions.
- Manganese (Mn): The electronic configuration of Mn is [Ar] 3d5 4s2. In its +2 oxidation state, Mn has the configuration [Ar] 3d5, and Mn2+ is not strongly colored because the d-orbital is fully occupied in a stable arrangement. However, Mn3+ is colored in aqueous solution due to d-d transitions.
2. Analyzing the Options:
- Option (A) "Sc3+, Mn2+": Sc3+ is colorless as it has no d-electrons, and Mn2+ is also colorless because its 3d orbitals are filled. Thus, this option is incorrect.
- Option (B) "Ni2+, Ti4+": Ni2+ is colored, but Ti4+ has an empty 3d orbital, so it does not display color. Thus, this option is incorrect.
- Option (C) "Ti3+, Cu+": Ti3+ is colored, but Cu+ is colorless since it has a fully filled d-orbital. Thus, this option is incorrect.
- Option (D) "Mn2+, Ti3+": Both Mn2+ and Ti3+ are colored due to d-d transitions. Thus, this option is correct.
Final Answer:
The correct answer is (D) Mn2+, Ti3+.
The colours of ions in aqueous solution depend on the presence of unpaired electrons in the d-orbitals of the metal ion, which can absorb specific wavelengths of light. The following points apply:
Thus, the correct pair where both ions are coloured in aqueous solution is Mn2+ and Ti3+.
The correct answer is (D) : Mn2+, Ti3+.