Write down the IUPAC name for each of the following complexes and indicate the oxidation state, electronic configuration and coordination number. Also give stereochemistry and magnetic moment of the complex:
\((i) K[Cr(H_2O)_2(C_2O_4)_2].3H_2O\)
\((ii)[Co(NH_3)_5Cl]Cl_2\)
\((iii) CrCl_3(py)_3\)
\((iv) Cs[FeCl_4]\)
\((v)K_4[Mn(CN)_6]\)
(i) Potassium diaquadioxalatochromate (III) trihydrate.
Oxidation state of chromium=3
Electronic configuration: \(3d ^{3} : t_{2g}^ 3 \)
Coordination number = 6 Shape: octahedral
Stereochemistry:
Magnetic moment, \(ÃŽÂ\frac{1}{4}=\sqrt{n(n+2)}\)
\(=\sqrt{3(3+2)}\)
\(=\sqrt{15}\)
\(∼ 4BM\)
\((ii) [Co(NH_3)_5Cl]Cl_2 \)
IUPAC name: Pentaamminechloridocobalt(III) chloride
Oxidation state of \( Co=+3 \)
Coordination number=6 Shape: octahedral.
Electronic configuration: \(d ^{6} : t_{2g}^ 6 .\)
Stereochemistry:

Magnetic Moment=0
\((iii) CrCl_3(py)_3 \)
IUPAC name: Trichloridotripyridinechromium (III)
Oxidation state of chromium = +3
Electronic configuration for \(d^{ 3} = t_{2g}^ 3 \)
Coordination number = 6
Shape: octahedral.
Stereochemistry:
Both isomers are optically active.
Therefore, a total of 4 isomers exist.
Magnetic moment\(, ÃŽÂ\frac{1}{4}=\sqrt{n(n+2)}\)
\(=\sqrt{3(3+2)}\)
\(=\sqrt{15}\)
∼ 4BM
\((iv) Cs[FeCl_4] \)
IUPAC name: Caesium tetrachloroferrate (III)
Oxidation state of\( Fe = +3\)
Electronic configuration of \(d ^{6} = eg^{ 2} t_{2g}^ 3 \)
Coordination number = 4 Shape: tetrahedral
Stereochemistry: optically inactive Magnetic moment: \(ÃŽÂ\frac{1}{4}=\sqrt{n(n+2)}\)
\(=\sqrt{5(5+2)}\)
\(=\sqrt{35}\)
~6BM
\((v) K_4[Mn(CN)_6]\) Potassium hexacyanomanganate(II)
Oxidation state of manganese=+2
Electronic configuration: \(d ^{5+}: t_{2g}^ 5 \)
Coordination number = 6 Shape: octahedral.
Streochemistry: optically inactive
Magnetic moment,\( ÃŽÂ\frac{1}{4}=\sqrt{n(n+2)}\)
\(=\sqrt{1(1+2)}\)
\(=\sqrt{3}\)
\(=1.732BM\)
(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 \(P,O,Q\).
Nomenclature of Coordination Compounds is important in Coordination Chemistry because of the need to have an unambiguous method of describing formulas and writing systematic names, particularly when dealing with isomers.