To solve the problem, we need to explain why Co\(^{2+}\) is easily oxidized to Co\(^{3+}\) in the presence of a strong ligand.
1. Understanding the Oxidation States of Cobalt:
Cobalt (Co) has two common oxidation states: Co\(^{2+}\) and Co\(^{3+}\). Co\(^{2+}\) has a [Ar] 3d⁷ electron configuration, while Co\(^{3+}\) has a [Ar] 3d⁶ electron configuration. Co\(^{3+}\) is more highly charged, making it more electronegative, and it has a greater tendency to attract electrons from its environment.
2. Role of Strong Ligands:
In coordination chemistry, ligands are molecules or ions that surround a metal ion, forming a coordination complex. Strong ligands are those that form stable complexes with metal ions, leading to significant changes in the metal's electronic structure. A strong ligand is a good electron donor, and it stabilizes the metal ion by interacting strongly with it, often leading to oxidation or reduction of the metal ion.
3. Oxidation of Co\(^{2+}\) to Co\(^{3+}\):
Co\(^{2+}\) is more easily oxidized to Co\(^{3+}\) in the presence of a strong ligand because the ligand stabilizes the Co\(^{3+}\) ion. The presence of a strong ligand such as ammonia (NH₃), cyanide (CN⁻), or ethylenediamine (en) creates a stronger field around the metal, which can lower the energy of the Co\(^{3+}\) ion and make its formation more favorable. In the absence of a strong ligand, Co\(^{2+}\) is relatively stable, but the strong ligand induces an oxidation state change by stabilizing the higher oxidation state (Co\(^{3+}\)).
4. Effect of Ligand Field on Oxidation Potential:
The oxidation potential for Co\(^{2+}\) to Co\(^{3+}\) is relatively low in the absence of a strong ligand. However, the presence of a strong ligand increases the stability of Co\(^{3+}\), thus making the oxidation of Co\(^{2+}\) more favorable. This is because strong field ligands cause a large splitting of the metal's d-orbitals, which stabilizes the higher oxidation state and makes the oxidation process energetically more favorable.
5. Final Answer:
Co\(^{2+}\) is easily oxidized to Co\(^{3+}\) in the presence of a strong ligand because the strong ligand stabilizes the Co\(^{3+}\) ion, making the oxidation of Co\(^{2+}\) to Co\(^{3+}\) more thermodynamically favorable.
(i) Draw the diagram which indicates the splitting of d-orbitals in tetrahedral field.
(ii) Write any one limitation of valence bond theory.
(i)[Ni(CN)₄]²⁻ and [Ni(CO)(_4)] have different structures, but do not differ in their magnetic behaviour. Explain.
(ii) Write the formula of Tetraamineaquachloridocobalt(III)chloride.
(i) Write two postulates of Werner's coordination theory.
(ii) Draw the geometrical isomers of [(NH_3)_3(NO_2)_3] and give their structures.
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).