Write down the $IUPAC$ name for each of the following complexes and indicate the oxidation state,electronic configuration,and coordination number. Also,give the stereochemistry and magnetic moment of the complex:
$(i)$ $K[Cr(H_2O)_2(C_2O_4)_2] \cdot 3H_2O$
$(ii)$ $[Co(NH_3)_5Cl]Cl_2$
$(iii)$ $CrCl_3(py)_3$
$(iv)$ $Cs[FeCl_4]$
$(v)$ $K_4[Mn(CN)_6]$

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(N/A) $(i)$ Potassium diaquadioxalatochromate$(III)$ trihydrate.
Oxidation state of $Cr = +3$.
Electronic configuration: $3d^3 (t_{2g}^3)$.
Coordination number $= 6$.
Shape: Octahedral. Stereochemistry: Shows cis-trans isomerism.
Magnetic moment,$\mu = \sqrt{3(3+2)} = \sqrt{15} \approx 3.87 \ BM$.
$(ii)$ Pentaamminechloridocobalt$(III)$ chloride.
Oxidation state of $Co = +3$.
Electronic configuration: $3d^6 (t_{2g}^6)$.
Coordination number $= 6$.
Shape: Octahedral. Stereochemistry: Shows geometrical isomerism.
Magnetic moment,$\mu = 0 \ BM$ (diamagnetic).
$(iii)$ Trichloridotripyridinechromium$(III)$.
Oxidation state of $Cr = +3$.
Electronic configuration: $3d^3 (t_{2g}^3)$.
Coordination number $= 6$.
Shape: Octahedral. Stereochemistry: Shows facial $(fac)$ and meridional $(mer)$ isomerism.
Magnetic moment,$\mu = \sqrt{3(3+2)} = \sqrt{15} \approx 3.87 \ BM$.
$(iv)$ Caesium tetrachloroferrate$(III)$.
Oxidation state of $Fe = +3$.
Electronic configuration: $3d^5 (e_g^2 t_{2g}^3)$.
Coordination number $= 4$.
Shape: Tetrahedral. Stereochemistry: Optically inactive.
Magnetic moment,$\mu = \sqrt{5(5+2)} = \sqrt{35} \approx 5.92 \ BM$.
$(v)$ Potassium hexacyanomanganate$(II)$.
Oxidation state of $Mn = +2$.
Electronic configuration: $3d^5 (t_{2g}^5)$.
Coordination number $= 6$.
Shape: Octahedral. Stereochemistry: Optically inactive.
Magnetic moment,$\mu = \sqrt{1(1+2)} = \sqrt{3} \approx 1.73 \ BM$.

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$A$ coordination compound has the formula $MCl_3 \cdot 4H_2O$. The coordination number of the metal is $6$,and it contains no water of hydration. How many $ml$ of $0.1 \, M \, AgNO_3$ are required to precipitate the chloride ions from $200 \, ml$ of a $0.01 \, M$ solution of this compound?

Which of the following compounds is brown coloured?

Total number of molecules/species from the following which will be paramagnetic is $........$
$O_2, O_2^{+}, O_2^{-}, NO, NO_2, CO, K_2[NiCl_4], [Co(NH_3)_6]Cl_3, K_2[Ni(CN)_4]$

Given below are two statements:
Statement $I$ : Dimethyl glyoxime forms a six-membered covalent chelate when treated with $NiCl_2$ solution in presence of $NH_4OH$.
Statement $II$ : Prussian blue precipitate contains iron both in $(+2)$ and $(+3)$ oxidation states.
In the light of the above statements,choose the most appropriate answer from the options given below:

List-$I$ contains metal species and List-$II$ contains their properties.
List-$I$ List-$II$
$I$. $[Cr(CN)_6]^{4-}$ $P$. $t_{2g}$ orbitals contain $4$ electrons
$II$. $[RuCl_6]^{2-}$ $Q$. $\mu$ (spin-only) $= 4.9 \ BM$
$III$. $[Cr(H_2O)_6]^{2+}$ $R$. low spin complex ion
$IV$. $[Fe(H_2O)_6]^{2+}$ $S$. metal ion in $4+$ oxidation state
$T$. $d^4$ species

[Given: Atomic number of $Cr = 24, Ru = 44, Fe = 26$] Match each metal species in List-$I$ with their properties in List-$II$,and choose the correct option.

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