CUET · CHEMISTRY · PYQ PAPER 2023
Match List - I with List - II.
| List - I (lon) | List - II (Magnetic Moment (BM)) |
| (A) \(V^{2+}\) | (1) 1.73 |
| (A) \(Ni ^{2+}\) | (II) 3.87 |
| (C) \(Cu ^{2+}\) | (III) 4.90 |
| (D) \(Cr ^{2+}\) | (IV) 2.84 |
- A (A)-(II), (B)-(IV), (C)-(I), (D)-(III)
- B (A)-(I), (B)-(III), (C)-(II), (D)-(IV)
- C (A)-(I), (B)-(IV), (C)-(III), (D)-(II)
- D (A)-(II), (B)-(IV), (C)-(III), (D)-(I)
Answer & Solution
Correct Answer
(A) (A)-(II), (B)-(IV), (C)-(I), (D)-(III)
Step-by-step Solution
Detailed explanation
(A) \(V^{2+}\) ([Ar]\(3d^3\)): \(n=3\), \(\mu = \sqrt{3(3+2)} = \sqrt{15} \approx 3.87\) BM. (A)-(II) (B) \(Ni^{2+}\) ([Ar]\(3d^8\)): \(n=2\), \(\mu = \sqrt{2(2+2)} = \sqrt{8} \approx 2.83\) BM. (B)-(IV) (C) \(Cu^{2+}\) ([Ar]\(3d^9\)): \(n=1\),…
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The degeneracy of the \(d\) orbitals has been removed due to ligand electron-metal electron repulsions in the octahedral comple: to yield three orbitals of lower energy, \(t_{2 g}\) set and two orbitals of higher energy, \(e_g\) set. This splitting of the degenerate levels due to the presence of ligands in a definite geometry is termed as crystal field splitting and the energy separation is denoted by \(\Delta_0\). Thus energy of the two \(e_g\) orbitals will increase by \((3 / 5) \Delta_0\) and that of three \(t_{2 g}\) will decrease by \((2 / 5) \Delta_0\). The crystal field splitting \(\Delta_0\) depends upon the field produced by the ligand and charge on the metal ion. Some ligands are able to produce strong fields, in which case the splitting will be large, whereas others produce weak fields and consequently result in small splitting of \(d\) orbitals. Relative magnitude of crystal field splitting energy \(\Delta_0\) and pairing energy, \(P\) (energy required for electron paring in a single orbital) determine the formation of low spin ( \(\Delta_0>P\) ) or high spin ( \(\Delta_0<P\) ) complex. In tetrahedral coordination entity formation, the \(d\)-orbital splitting is inverted and is smaller as compared to the octahedral field splitting. The crystal field theory attributes the colour of the complex to \(d-d\) transition of the electron. The colour of the coordination compounds depends on the crystal field splitting. In the absence of ligand, crystal field splitting does not occur and hence the substance is colourless.
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When a ligand is bound to a metal ion through a single donor atom, it is said to be a unidentate ligand but when it bind through two donor atoms, then it is said to be didentate ligand and when several donor atoms are present in a single ligand, it is said to be a polydentate ligand. When a dior polydentate ligand uses its two or more donor atoms simultaneously to bind a single metal ion, it is said to be a chelate ligand. The number of such ligating groups is called the denticity of the ligand. ligand which has two different donor atoms and either of the two ligetes in the complex is called ambidentate ligands. The number of ligand donor atoms to which the metal is directly bonded, is called coordination number of the metal ion in the complex. Complexes in which a metal is bound to only one kind of donor groups are known as homoleptic and in which a metal is bound to more than one kind of donor groups are known as heteroleptic complexes.
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