Question
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) $K \left[ Cr \left( H _2 O \right)_2\left( C _2 O _4\right)_2\right] \cdot 3 H _2 O$
(ii) $\left[ Co \left( NH _3\right)_5 Cl \right] Cl _2$
(iii) $\left[ CrCl _3( py )_3\right]$
(iv) $Cs \left[ FeCl _4\right]$
(v) $K _4\left[ Mn ( CN )_6\right]$

Answer

(i) $K \left[ Cr \left( H _2 O \right)_2\left( C _2 O _4\right)_2\right] \cdot 3 H _2 O$ : IUPAC name of the complex is - Potassium diaqua di-oxalate chromate (III) trihydrate.
Oxidation state of metal = +3(3d3)
Electronic configuration of Cr3+ = $t_{2 g}^3 e_g^0$
Coordination number of metal = 6 
Geometry of the complex = Octahedral

This complex has geometric and optical isomerism.
Magnetic moment $(\mu)=\sqrt{n(n+2)}$ B.M.
Cr3+ = 3d3 , no. of unpaired electrons, n = 3
$\mu=\sqrt{3(3+2)}=\sqrt{15}$ B.M. $=3.87$ B.M.
(ii)$\left[ CrCl _3( py )_3\right]:$ IUPAC name of the complex is-Trichloridotrispyridine chromium (III)
Oxidation state of metal = +3(3d3)
Electronic configuration of Cr3+= $t_{2 g}^3 e_g^0$
Coordination number of metal = 6
Geometry of the complex = Octahedral
It has special type of geometric isomerism (fac and mer).
$\begin{array}{r}\text {Magnetic moment} (\mu)=\sqrt{3(3+2)}=\sqrt{15}=3.87 B . M . \\ ( n =3)\end{array}$
(iii) $\left[ Co \left( NH _3\right)_5 Cl \right] Cl _2$ : IUPAC name of the complex is-Pentamine chlorido cobalt (III) chloride
Oxidation state of metal = +3(3d6)
Electronic configuration of Co3+$=t_{2 g}^6 e_g^0$
Coordination number of metal = 6
Geometry of the complex = Octahedral
Magnetic moment $\mu$ = 0, because it has all paired electrons.
(iv)$Cs \left[ FeCl _4\right]:$ IUPAC name of the complex is-Cesium tetrachlorido ferrate (III)
Oxidation state of metal = 
+3(3d5)
Electronic configuration of $Fe ^{3+}= e _{ g }^2 t _{2 g}^3$
Coordination number of metal = 4
Geometry of the complex = Tetrahedral
Magnetic moment $(\mu)=\sqrt{5(5+2)}$
$=\sqrt{35}=5.91$ B.M. $( n =5)$
(v)$K _4\left[ Mn ( CN )_6\right]:$ IUPAC name of the complex is-Potassium hexacyano manganate (II)
Oxidation state of metal = +2(3d5)
Electronic configuration of $Mn ^{2+}= t _{2 g}^5 e _{ g }^0$
Coordination number of metal = 6
Geometry of the complex = Octahedral
Magnetic Magnetic $(\mu)=\sqrt{1(1+2)}=\sqrt{3}=1.73 BM$

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