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Question: Which among the following is colorless? A) \(S{{c}^{2+}}\) B) \(Z{{n}^{2+}}\) c) \(T{{i}^{3+}...

Which among the following is colorless?
A) Sc2+S{{c}^{2+}}
B) Zn2+Z{{n}^{2+}}
c) Ti3+T{{i}^{3+}}
d) V3+{{V}^{3+}}

Explanation

Solution

Transition elements are the elements that are found in Groups 3-12 on the modern periodic table. Transition elements or transition metals have partially filled d or f orbital in any common oxidation state. They are also known as d-block elements.

Complete answer:
The valence electrons of the transition elements (or d- block elements) fall under the d orbital.
General electronic configuration of D-block Elements: (n1)d110ns12(n-1){{d}^{1-10}}n{{s}^{1-2}}
The elements which are filling up of 3d,4d,5d,6d3d,4d,5d,6d orbitals:
3d3d- Sc,Ti,V,Cr,Mn,Fe,Co,Ni,Cu,Zn
4d4d-Y,Zr,Nb,Mo,Tc,Ru,Rh,Pd,Ag,Cd
5d5d-La,Hf,Ta,W,Re,Os,Ir,Pt,Au,Hg
6d6d-Incomplete
The Elements mercury, cadmium and zinc are not considered as transition elements because of their electronic configurations (n1)d10ns2(n-1){{d}^{10}}n{{s}^{2}}
Colored Transition metal ions have incompletely filled d-orbitals and those that have completely filled d-orbitals or vacant d-orbitals are colorless.
Electronic configuration of Sc and Sc2+S{{c}^{2+}}:
Sc(Atomic No-21) : 1s22s22p63s23p63d14s21{{s}^{2}}2{{s}^{2}}2{{p}^{6}}3{{s}^{2}}3{{p}^{6}}3{{d}^{1}}4{{s}^{2}} or [Ar]3d14s2[Ar]3{{d}^{1}}4{{s}^{2}}
Sc2+S{{c}^{2+}}: 1s22s22p63s23p63d11{{s}^{2}}2{{s}^{2}}2{{p}^{6}}3{{s}^{2}}3{{p}^{6}}3{{d}^{1}} or [Ar]3d1[Ar]3{{d}^{1}}
Electronic configuration of Zn and Zn2+Z{{n}^{2+}}:
Zn(Atomic No-30): 1s22s22p63s23p63d104s21{{s}^{2}}2{{s}^{2}}2{{p}^{6}}3{{s}^{2}}3{{p}^{6}}3{{d}^{10}}4{{s}^{2}}or [Ar]3d104s2[Ar]3{{d}^{10}}4{{s}^{2}}
Zn2+Z{{n}^{2+}}:1s22s22p63s23p63d101{{s}^{2}}2{{s}^{2}}2{{p}^{6}}3{{s}^{2}}3{{p}^{6}}3{{d}^{10}} or [Ar]3d10[Ar]3{{d}^{10}}
Electronic configuration of Ti and Ti3+T{{i}^{3+}}:
Ti(Atomic No-22): 1s22s22p63s23p63d24s21{{s}^{2}}2{{s}^{2}}2{{p}^{6}}3{{s}^{2}}3{{p}^{6}}3{{d}^{2}}4{{s}^{2}}or [Ar]3d24s2[Ar]3{{d}^{2}}4{{s}^{2}}
Ti3+T{{i}^{3+}}:1s22s22p63s23p63d11{{s}^{2}}2{{s}^{2}}2{{p}^{6}}3{{s}^{2}}3{{p}^{6}}3{{d}^{1}}or [Ar]3d1[Ar]3{{d}^{1}}
Electronic configuration of V and V3+{{V}^{3+}}:
V(Atomic No-23) : 1s22s22p63s23p63d34s21{{s}^{2}}2{{s}^{2}}2{{p}^{6}}3{{s}^{2}}3{{p}^{6}}3{{d}^{3}}4{{s}^{2}}or [Ar]3d34s2[Ar]3{{d}^{3}}4{{s}^{2}}
V3+{{V}^{3+}}:1s22s22p63s23p63d21{{s}^{2}}2{{s}^{2}}2{{p}^{6}}3{{s}^{2}}3{{p}^{6}}3{{d}^{2}}or [Ar]3d2[Ar]3{{d}^{2}}
As we see that Zn2+Z{{n}^{2+}} have fully filled d-orbital which means it has no unpaired electrons so it does not undergo electronic transitions. Hence Zn2+Z{{n}^{2+}} is colorless.
Sc2+S{{c}^{2+}},Ti3+T{{i}^{3+}},V3+{{V}^{3+}} are colored due to the d-d transition in incompletely filled d-orbitals or it has unpaired electrons which can undergo electronic transitions.
So,the answer is Zn2+Z{{n}^{2+}} is colorless

Note:
Transition elements typically display metallic qualities such as malleability and ductility. They have high values of electrical conductivity and thermal conductivity and good tensile strength.
When visible light falls on a d-block’s compound or ion, the unpaired electrons of that element which are present in the lower energy d-orbital get excited to higher energy d-orbitals( d-d transition) due to absorption of visible light.