Answer the following Questions.

Question1. Write the formulas for the following coordination compounds:

(i) Tetraamminediaquacobalt(III) chloride

(ii) Potassium tetracyanonickelate(II)

(iii) Tris(ethane−1,2−diamine) chromium(III) chloride

(iv) Amminebromidochloridonitrito-N-platinate(II)

(v) Dichloridobis(ethane−1,2−diamine)platinum(IV) nitrate

(vi) Iron(III) hexacyanoferrate(II)

Solution :

Question2. Write the IUPAC names of the following coordination compounds:

(i) [Co(NH₃)₆]Cl₃

(ii) [Co(NH₃)₅Cl]Cl₂

(iii) K₃[Fe(CN)₆]

(iv) K₃[Fe(C₂O₄)₃] 

(v) K₂[PdCl₄] 

(vi) [Pt(NH₃)₂Cl(NH₂CH₃)]Cl

Solution :
(i) Hexaamminecobalt(III) chloride 

(ii) Pentaamminechloridocobalt(III) chloride

(iii) Potassium hexacyanoferrate(III)

(iv) Potassium trioxalatoferrate(III)

(v) Potassium tetrachloridopalladate(II)

(vi) Diamminechlorido(methylamine)platinum(II) chloride

Question3. Indicate the types of isomerism exhibited by the following complexes and draw the structures for these isomers:

1. K[Cr(H₂O)₂(C₂O₄)₂

2. [Co(en)₃]Cl₃

3. [Co(NH₃)₅(NO₂)](NO₃)₂

4. [Pt(NH₃)(H₂O)Cl₂]

Solution :
1. Both geometrical (cis-, trans-) isomers for can exist. Also, optical isomers for cis-isomer exist.

Trans-isomer is optically inactive. On the other hand, cis-isomer is optically active.

(ii) Two optical isomers for exist.

Two optical isomers are possible for this structure.

(iii) 

A pair of optical isomers:

It can also show linkage isomerism.

It can also show ionization isomerism.

(iv) Geometrical (cis-, trans-) isomers of can exist.

Question4. Give evidence that [Co(NH₃)₅Cl]SO₄ and [Co(NH₃)₅SO₄]Cl are ionization isomers.

Solution :
When ionization isomers are dissolved in water, they ionize to give different ions. These ions then react differently with different reagents to give different products.

Question5. Explain on the basis of valence bond theory that [Ni(CN)₄]²⁻ ion with square planar structure is diamagnetic and the [NiCl₄]²⁻ ion with tetrahedral geometry is paramagnetic.

Solution :
Ni is in the +2 oxidation state i.e., in d⁸ configuration.

There are 4 CN⁻ ions. Thus, it can either have a tetrahedral geometry or square planar geometry. Since CN⁻ ion is a strong field ligand, it causes the pairing of unpaired 3d electrons.

It now undergoes dsp² hybridization. Since all electrons are paired, it is diamagnetic. 

In case of [NiCl₄]²⁻, Cl⁻ ion is a weak field ligand. Therefore, it does not lead to the pairing of unpaired 3d electrons. Therefore, it undergoes sp³ hybridization.

Since there are 2 unpaired electrons in this case, it is paramagnetic in nature.

Question6. [NiCl₄]²⁻ is paramagnetic while [Ni(CO)₄] is diamagnetic though both are tetrahedral. Why?

Solution :
Though both [NiCl₄]²⁻ and [Ni(CO)₄] are tetrahedral, their magnetic characters are different. This is due to a difference in the nature of ligands. Cl⁻ is a weak field ligand and it does not cause the pairing of unpaired 3d electrons. Hence, [NiCl₄]²⁻ is paramagnetic.

In Ni(CO)₄, Ni is in the zero oxidation state i.e., it has a configuration of 3d⁸ 4s^2.

But CO is a strong field ligand. Therefore, it causes the pairing of unpaired 3d electrons. Also, it causes the 4s electrons to shift to the 3d orbital, thereby giving rise to sp³ hybridization. Since no unpaired electrons are present in this case, [Ni(CO)₄] is diamagnetic. 

Question7. [Fe(H₂O)₆]³⁺ is strongly paramagnetic whereas [Fe(CN)₆]³⁻ is weakly paramagnetic. Explain.

Solution :
In both and , Fe exists in the +3 oxidation state i.e., in d⁵ configuration.

Since CN⁻ is a strong field ligand, it causes the pairing of unpaired electrons. Therefore, there is only one unpaired electron left in the d-orbital.

On the other hand, H₂O is a weak field ligand. Therefore, it cannot cause the pairing of electrons. This means that the number of unpaired electrons is 5.

Therefore, 

Thus, it is evident that  is strongly paramagnetic, while  is weakly paramagnetic.

Question8. Explain [Co(NH₃)₆]³⁺ is an inner orbital complex whereas [Ni(NH₃)₆]²⁺ is an outer orbital complex.

Solution :

Oxidation state of cobalt = +3	Oxidation state of Ni = +2
Electronic configuration of cobalt = d6	Electronic configuration of nickel = d8
NH3 being a strong field ligand causes the pairing. Therefore, Cobalt can undergo d2sp3 hybridization.Hence, it is an inner orbital complex.	If NH3 causes the pairing, then only one 3d orbital is empty. Thus, it cannot undergo d2sp3 hybridization. Therefore, it undergoes sp3d2 hybridization.Hence, it forms an outer orbital complex.

Question9. Predict the number of unpaired electrons in the square planar [Pt(CN)₄]²⁻ ion.

Solution :

In this complex, Pt is in the +2 state. It forms a square planar structure. This means that it undergoes dsp² hybridization. Now, the electronic configuration of Pd(+2) is 5d⁸.

CN⁻ being a strong field ligand causes the pairing of unpaired electrons. Hence, there are no unpaired electrons in

Question10. The hexaquo manganese(II) ion contains five unpaired electrons, while the hexacyanoion contains only one unpaired electron. Explain using Crystal Field Theory.

Solution :

Mn is in the +2 oxidation state.	Mn is in the +2 oxidation state.
The electronic configuration is d5.	The electronic configuration is d5.
The crystal field is octahedral. Water is a weak field ligand. Therefore, the arrangement of the electrons in is t2g3eg2.	The crystal field is octahedral. Cyanide is a strong field ligand. Therefore, the arrangement of the electrons in isT2g5eg0.

Hence, hexaaquo manganese (II) ion has five unpaired electrons, while hexacyano ion has only one unpaired electron.

Question11. Calculate the overall complex dissociation equilibrium constant for the Cu(NH₃)₄²⁺ ion, given that β₄ for this complex is 2.1 × 10¹³.

Solution :
β₄ = 2.1 × 10¹³

The overall complex dissociation equilibrium constant is the reciprocal of the overall stability constant, β₄.

1/β₄ = 1/2.1 × 10¹³ = 4.7 x 10 ^-14

Question12. Explain the bonding in coordination compounds in terms of Werner’s postulates.

Solution :
Werner’s postulates explain the bonding in coordination compounds as follows:

(i) A metal exhibits two types of valencies namely, primary and secondary valencies. Primary valencies are satisfied by negative ions while secondary valencies are satisfied by both negative and neutral ions.

(In modern terminology, the primary valency corresponds to the oxidation number of the metal ion, whereas the secondary valency refers to the coordination number of the metal ion.

(ii) A metal ion has a definite number of secondary valencies around the central atom. Also, these valencies project in a specific direction in the space assigned to the definite geometry of the coordination compound.

(iii) Primary valencies are usually ionizable, while secondary valencies are non-ionizable.

Question13. FeSO₄ solution mixed with (NH₄)₂SO₄ solution in 1:1 molar ratio gives the test of Fe²⁺ ion but CuSO₄ solution mixed with aqueous ammonia in 1:4 molar ratio does not give the test of Cu²⁺ ion. Explain why?

Solution :

Both the compounds i.e., fall under the category of addition compounds with only one major difference i.e., the former is an example of a double salt, while the latter is a coordination compound.

A double salt is an addition compound that is stable in the solid state but that which breaks up into its constituent ions in the dissolved state. These compounds exhibit individual properties of their constituents. For e.g. breaks into Fe²⁺, NH⁴⁺, and SO₄²⁻ ions. Hence, it gives a positive test for Fe²⁺ ions.

A coordination compound is an addition compound which retains its identity in the solid as well as in the dissolved state. However, the individual properties of the constituents are lost. This happens because does not show the test for Cu²⁺. The ions present in the solution of .

Question14. Explain with two examples each of the following: coordination entity, ligand, coordination number, coordination polyhedron, homoleptic and heteroleptic.

Solution :
(i) Coordination entity:

A coordination entity is an electrically charged radical or species carrying a positive or negative charge. In a coordination entity, the central atom or ion is surrounded by a suitable number of neutral molecules or negative ions ( called ligands). For example:

= cationic complex

= anionic complex

= neutral complex

(ii) Ligands

The neutral molecules or negatively charged ions that surround the metal atom in a coordination entity or a coordinal complex are known as ligands. For example,, Cl⁻, ⁻OH. Ligands are usually polar in nature and possess at least one unshared pair of valence electrons.

(iii) Coordination number:

The total number of ligands (either neutral molecules or negative ions) that get attached to the central metal atom in the coordination sphere is called the coordination number of the central metal atom. It is also referred to as its ligancy.

For example:

(a) In the complex, K₂[PtCl₆], there as six chloride ions attached to Pt in the coordinate sphere. Therefore, the coordination number of Pt is 6.

(b) Similarly, in the complex [Ni(NH₃)₄]Cl₂, the coordination number of the central atom (Ni) is 4.

(vi) Coordination polyhedron:

Coordination polyhedrons about the central atom can be defined as the spatial arrangement of the ligands that are directly attached to the central metal ion in the coordination sphere.

For example:

(a) 

(b) Tetrahedral

(v) Homoleptic complexes:

These are those complexes in which the metal ion is bound to only one kind of a donor group. For eg: etc.

(vi) Heteroleptic complexes:

Heteroleptic complexes are those complexes where the central metal ion is bound to more than one type of a donor group.

For e.g.: 

Question15. What is meant by unidentate, didentate and ambidentate ligands? Give two examples for each.

Solution :
A ligand may contain one or more unshared pairs of electrons which are called the donor sites of ligands. Now, depending on the number of these donor sites, ligands can be classified as follows:

(a) Unidentate ligands: Ligands with only one donor sites are called unidentate ligands. For e.g., , Cl⁻ etc.

(b) Didentate ligands: Ligands that have two donor sites are called didentate ligands. For e.g.,

(a) Ethane-1,2-diamine

(b) Oxalate ion

(c) Ambidentate ligands:

Ligands that can attach themselves to the central metal atom through two different atoms are called ambidentate ligands. For example:

(a) 

(The donor atom is N)

(The donor atom is oxygen)

(b) 

(The donor atom is S)

(The donor atom is N)

Question16. Specify the oxidation numbers of the metals in the following coordination entities:

(i) [Co(H₂O)(CN)(en)₂]²⁺

(ii) [CoBr₂(en)₂]⁺

(iii) [PtCl₄]²⁻

(iv) K₃[Fe(CN)₆]

(v) [Cr(NH₃)₃Cl₃]

Solution :
(i) 

Let the oxidation number of Co be x.

The charge on the complex is +2.

(ii) 

Let the oxidation number of Pt be x.

The charge on the complex is −2.

(iii)

(iv)

(v)

Question17. Using IUPAC norms write the formulas for the following:

(i) Tetrahydroxozincate(II)

(ii) Potassium tetrachloridopalladate(II)

(iii) Diamminedichloridoplatinum(II)

(iv) Potassium tetracyanonickelate(II)

(v) Pentaamminenitrito-O-cobalt(III)

(vi) Hexaamminecobalt(III) sulphate

(vii) Potassium tri(oxalato)chromate(III)

(viii) Hexaammineplatinum(IV)

(ix) Tetrabromidocuprate(II)

(x) Pentaamminenitrito-N-cobalt(III)

Solution :
(i) [Zn(OH)₄]²⁻

(ii) K₂[PdCl₄]

(iii) [Pt(NH₃)₂Cl₂]

(iv) K₂[Ni(CN)₄]

(v) [Co(ONO) (NH₃)₅]²⁺

(vi) [Co(NH₃)₆]₂ (SO₄)₃

(vii) K₃[Cr(C₂O₄)₃]

(viii) [Pt(NH₃)₆]⁴⁺

(ix) [Cu(Br)₄]²⁻

(x) [Co[NO₂)(NH₃)₅]²⁺

Question18. Using IUPAC norms write the systematic names of the following:

(i) [Co(NH₃)6]Cl₃

(ii) [Pt(NH₃)₂Cl(NH₂CH₃)]Cl 

(iii) [Ti(H₂O)6]³⁺

(iv) [Co(NH₃)₄Cl(NO₂)]Cl 

(v) [Mn(H₂O)6]²⁺

(vi) [NiCl₄]²⁻

(vii) [Ni(NH₃)₆]Cl₂

(viii) [Co(en)₃]³⁺

(ix) [Ni(CO)₄]

Solution :
(i) Hexaamminecobalt(III) chloride

(ii) Diamminechlorido(methylamine) platinum(II) chloride

(iii) Hexaquatitanium(III) ion

(iv) Tetraamminichloridonitrito-N-Cobalt(III) chloride

(v) Hexaquamanganese(II) ion

(vi) Tetrachloridonickelate(II) ion

(vii) Hexaamminenickel(II) chloride

(viii) Tris(ethane-1, 2-diammine) cobalt(III) ion

(ix) Tetracarbonylnickel(0)

Question19. List various types of isomerism possible for coordination compounds, giving an example of each.

Solution :

(a) Geometric isomerism:

This type of isomerism is common in heteroleptic complexes. It arises due to the different possible geometric arrangements of the ligands. For example:

(b) Optical isomerism:

This type of isomerism arises in chiral molecules. Isomers are mirror images of each other and are non-superimposable.

(c) Linkage isomerism: This type of isomerism is found in complexes that contain ambidentate ligands. For example:

[Co(NH₃)₅ (NO₂)]Cl₂ and [Co(NH₃)₅ (ONO)Cl₂

Yellow form Red form

(d) Coordination isomerism:

This type of isomerism arises when the ligands are interchanged between cationic and anionic entities of differnet metal ions present in the complex.

[Co(NH₃)₆] [Cr(CN)₆] and [Cr(NH₃)₆] [Co(CN)₆]

(e) Ionization isomerism:

This type of isomerism arises when a counter ion replaces a ligand within the coordination sphere. Thus, complexes that have the same composition, but furnish different ions when dissolved in water are called ionization isomers. For e.g., Co(NH₃)₅SO₄)Br and Co(NH₃)₅Br]SO_4.

(f) Solvate isomerism:

Solvate isomers differ by whether or not the solvent molecule is directly bonded to the metal ion or merely present as a free solvent molecule in the crystal lattice.

[Cr[H₂O)₆]Cl₃ [Cr(H₂O)₅Cl]Cl₂⋅H₂O [Cr(H₂O)₅Cl₂]Cl⋅2H₂O

Violet Blue-green Dark green

Question20. How many geometrical isomers are possible in the following coordination entities?

(i) [Cr(C₂O₄)₃]³⁻ (ii) [Co(NH₃)₃Cl₃]

Solution :
(i) For [Cr(C₂O₄)₃]³⁻, no geometric isomer is possible as it is a bidentate ligand.

(ii) [Co(NH₃)₃Cl₃]

Two geometrical isomers are possible.

Question21. Draw the structures of optical isomers of:

(i) [Cr(C₂O₄)₃]³⁻ 

(ii) [PtCl₂(en)₂]²⁺

(iii) [Cr(NH₃)₂Cl₂(en)]⁺

Solution :
(i) [Cr(C₂O₄)₃]³⁻

(ii) [PtCl₂(en)₂]²⁺

(iii) [Cr(NH₃)₂Cl₂(en)]⁺

Question22. Draw all the isomers (geometrical and optical) of:

(i) [CoCl₂(en)₂]⁺

(ii) [Co(NH₃)Cl(en)₂]²⁺

(iii) [Co(NH₃)₂Cl₂(en)]⁺

Solution :
(i) [CoCl₂(en)₂]⁺ Geometrical isomerism

Optical isomerism Since only cis isomer is optically active, it shows optical isomerism.

In total, three isomers are possible.

(ii) [Co(NH₃)Cl(en)₂]²⁺

Geometrical isomerism

Optical isomerism Since only cis isomer is optically active, it shows optical isomerism.

(iii) [Co(NH₃)₂Cl₂(en)]⁺

Question23. Write all the geometrical isomers of [Pt(NH₃)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?

Solution :
[Pt(NH₃)(Br)(Cl)(py)

From the above isomers, none will exhibit optical isomers. Tetrahedral complexes rarely show optical isomerization. They do so only in the presence of unsymmetrical chelating agents.

Question24. Aqueous copper sulphate solution (blue in colour) gives:

(i) a green precipitate with aqueous potassium fluoride, and

(ii) a bright green solution with aqueous potassium chloride 

Explain these experimental results.

Solution :
Aqueous CuSO₄ exists as [Cu(H₂O)₄]SO₄. It is blue in colour due to the presence of  [Cu[H₂O)₄]²⁺ ions.

(i) When KF is added: 

(ii) When KCl is added:

In both these cases, the weak field ligand water is replaced by the F⁻ and Cl⁻ ions.

Question25. What is the coordination entity formed when excess of aqueous KCN is added to an aqueous solution of copper sulphate? Why is it that no precipitate of copper sulphide is obtained when H₂S(g) is passed through this solution?

Solution :

Thus, the coordination entity formed in the process is K₂[Cu(CN)₄]. K₂[Cu(CN)₄] is a very stable complex, which does not ionize to give Cu²⁺ ions when added to water. Hence, Cu²⁺ ions are not precipitated when H₂S_(g) is passed through the solution.

Question26. Discuss the nature of bonding in the following coordination entities on the basis of valence bond theory:

(i) [Fe(CN)₆]⁴⁻

(ii) [FeF₆]³⁻

(iii) [Co(C₂O₄)3]³⁻

(iv) [CoF₆]³⁻

Solution :
(i) [Fe(CN)₆]⁴⁻

In the above coordination complex, iron exists in the +II oxidation state.

Fe²⁺ : Electronic configuration is 3d⁶

Orbitals of Fe²⁺ ion: 

As CN⁻ is a strong field ligand, it causes the pairing of the unpaired 3d electrons.

Since there are six ligands around the central metal ion, the most feasible hybridization is d²sp³.

d²sp³ hybridized orbitals of Fe²⁺ are: 

6 electron pairs from CN⁻ ions occupy the six hybrid d²sp³orbitals.

Then,

Hence, the geometry of the complex is octahedral and the complex is diamagnetic (as there are no unpaired electrons).

(ii) [FeF₆]³⁻

In this complex, the oxidation state of Fe is +3.

Orbitals of Fe⁺³ ion: 

There are 6 F⁻ ions. Thus, it will undergo d²sp³ or sp³d² hybridization. As F⁻ is a weak field ligand, it does not cause the pairing of the electrons in the 3d orbital. Hence, the most feasible hybridization is sp³d².

sp³d² hybridized orbitals of Fe are:

Hence, the geometry of the complex is found to be octahedral.

(iii) [Co(C₂O₄)₃]³⁻

Cobalt exists in the +3 oxidation state in the given complex.

Orbitals of Co³⁺ ion: 

Oxalate is a weak field ligand. Therefore, it cannot cause the pairing of the 3d orbital electrons. As there are 6 ligands, hybridization has to be either sp³d² or d²sp³ hybridization.

sp³d² hybridization of Co^3+:

The 6 electron pairs from the 3 oxalate ions (oxalate anion is a bidentate ligand) occupy these sp³d² orbitals.

Hence, the geometry of the complex is found to be octahedral.

(iv) [CoF₆]³⁻

Cobalt exists in the +3 oxidation state.

Orbitals of Co³⁺ ion: 

Again, fluoride ion is a weak field ligand. It cannot cause the pairing of the 3d electrons. As a result, the Co³⁺ ion will undergo sp³d² hybridization.

sp³d² hybridized orbitals of Co³⁺ ion are:

Hence, the geometry of the complex is octahedral and paramagnetic.

Question27. Draw figure to show the splitting of d orbitals in an octahedral crystal field.

Solution :

The splitting of the d orbitals in an octahedral field takes palce in such a way that ,experience a rise in energy and form the e_g level, while d_xy, d_yzand d_zx experience a fall in energy and form the t_2g level.

Question28. What is spectrochemical series? Explain the difference between a weak field ligand and a strong field ligand.

Solution :
A spectrochemical series is the arrangement of common ligands in the increasing order of their crystal-field splitting energy (CFSE) values. The ligands present on the R.H.S of the series are strong field ligands while that on the L.H.S are weak field ligands. Also, strong field ligands cause higher splitting in the d orbitals than weak field ligands.

I− < Br⁻ < S²⁻ < SCN⁻ < Cl⁻< N₃ < F⁻ < OH⁻ < C₂O₄²⁻ ∼ H₂O < NCS⁻ ∼ H⁻ < CN⁻ < NH₃ < en ∼ SO₃²⁻ < NO₂⁻ < phen < CO

Question29. What is crystal field splitting energy? How does the magnitude of Δ_o decide the actual configuration of d-orbitals in a coordination entity?

Solution :
The degenerate d-orbitals (in a spherical field environment) split into two levels i.e., e_g and t_2g in the presence of ligands. The splitting of the degenerate levels due to the presence of ligands is called the crystal-field splitting while the energy difference between the two levels (e_g and t_2g) is called the crystal-field splitting energy. It is denoted by Δ_o.

After the orbitals have split, the filling of the electrons takes place. After 1 electron (each) has been filled in the three t_2g orbitals, the filling of the fourth electron takes place in two ways. It can enter the e_g orbital (giving rise to t_2g³ e_g¹ like electronic configuration) or the pairing of the electrons can take place in the t_2g orbitals (giving rise to t_2g⁴ e_g⁰ like electronic configuration). If the Δ_o value of a ligand is less than the pairing energy (P), then the electrons enter the e_g orbital. On the other hand, if the Δ_o value of a ligand is more than the pairing energy (P), then the electrons enter the t_2g orbital. 

Question30. [Cr(NH₃)₆]³⁺ is paramagnetic while [Ni(CN)₄]²⁻ is diamagnetic. Explain why?

Solution :
Cr is in the +3 oxidation state i.e., d³ configuration. Also, NH₃ is a weak field ligand that does not cause the pairing of the electrons in the 3d orbital.

Cr³⁺

Therefore, it undergoes d²sp³ hybridization and the electrons in the 3d orbitals remain unpaired. Hence, it is paramagnetic in nature.

In [Ni(CN)₄]²⁻, Ni exists in the +2 oxidation state i.e., d⁸ configuration.

Ni^2+:

CN⁻ is a strong field ligand. It causes the pairing of the 3d orbital electrons. Then, Ni²⁺ undergoes dsp² hybridization.

As there are no unpaired electrons, it is diamagnetic.

Question31. A solution of [Ni(H₂O)₆]²⁺ is green but a solution of [Ni(CN)₄]²⁻ is colourless. Explain.

Solution :
In [Ni(H₂O)₆]²⁺, is a weak field ligand. Therefore, there are unpaired electrons in Ni²⁺. In this complex, the d electrons from the lower energy level can be excited to the higher energy level i.e., the possibility of d−d transition is present. Hence, Ni(H₂O)₆]²⁺ is coloured.

In [Ni(CN)₄]²⁻, the electrons are all paired as CN^– is a strong field ligand. Therefore, d-d transition is not possible in [Ni(CN)₄]²⁻. Hence, it is colourless.

Question32. [Fe(CN)₆]⁴⁻ and [Fe(H₂O)₆]²⁺ are of different colours in dilute solutions. Why?

Solution :
The colour of a particular coordination compound depends on the magnitude of the crystal-field splitting energy, Δ. This CFSE in turn depends on the nature of the ligand. In case of [Fe(CN)₆]⁴⁻ and [Fe(H₂O)₆]²⁺, the colour differs because there is a difference in the CFSE. Now, CN⁻ is a strong field ligand having a higher CFSE value as compared to the CFSE value of water. This means that the absorption of energy for the intra d-d transition also differs. Hence, the transmitted colour also differs.

Question33. Discuss the nature of bonding in metal carbonyls.

Solution :
The metal-carbon bonds in metal carbonyls have both σ and π characters. A σ bond is formed when the carbonyl carbon donates a lone pair of electrons to the vacant orbital of the metal. A π bond is formed by the donation of a pair of electrons from the filled metal d orbital into the vacant anti-bonding π* orbital (also known as back bonding of the carbonyl group). The σ bond strengthens the π bond and vice-versa. Thus, a synergic effect is created due to this metal-ligand bonding. This synergic effect strengthens the bond between CO and the metal.

Question34. Give the oxidation state, d-orbital occupation and coordination number of the central metal ion in the following complexes:

(i) K₃[Co(C₂O₄)₃] 

(ii) cis-[Cr(en)₂Cl₂]Cl 

(iii) (NH₄)₂[CoF₄]

(iv) [Mn(H₂O)₆]SO₄

Solution :
(i) K₃[Co(C₂O₄)₃]

The central metal ion is Co.

Its coordination number is 6.

The oxidation state can be given as:

x − 6 = −3

x = + 3

The d orbital occupation for Co³⁺ is t_2g⁶e_g^0.

(ii) cis-[Cr(en)₂Cl₂]Cl

The central metal ion is Cr.

The coordination number is 6.

The oxidation state can be given as:

x + 2(0) + 2(−1) = +1

x − 2 = +1

x = +3

The d orbital occupation for Cr³⁺ is t_2g³. 

(iii) (NH₄)₂[CoF₄]

The central metal ion is Co.

The coordination number is 4.

The oxidation state can be given as:

x − 4 = −2

x = + 2

The d orbital occupation for Co²⁺ is e_g⁴ t_2g^3.

(iv) [Mn(H₂O)₆]SO₄

The central metal ion is Mn.

The coordination number is 6.

The oxidation state can be given as:

x + 0 = +2

x = +2

The d orbital occupation for Mn is t_2g³ e_g².

Question35. 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(H₂O)₂(C₂O₄)₂].3H₂O 

(ii) [Co(NH₃)₅Cl]Cl₂

(iii) CrCl₃(py)₃

(iv) Cs[FeCl₄]

(v) K₄[Mn(CN)₆]

Solution :
(i) Potassium diaquadioxalatochromate (III) trihydrate.

Oxidation state of chromium = 3

Electronic configuration: 3d³: t_2g³

Coordination number = 6

Shape: octahedral

Stereochemistry:

(ii) [Co(NH₃)₅Cl]Cl₂

IUPAC name: Pentaamminechloridocobalt(III) chloride

Oxidation state of Co = +3

Coordination number = 6

Shape: octahedral.

Electronic configuration: d⁶: t_2g⁶.

Stereochemistry:

Magnetic Moment = 0

(iii) CrCl₃(py)₃

IUPAC name: Trichloridotripyridinechromium (III)

Oxidation state of chromium = +3

Electronic configuration for d³ = t_2g³

Coordination number = 6

Shape: octahedral.

Stereochemistry:

Both isomers are optically active. Therefore, a total of 4 isomers exist.

Magnetic moment, μ = √n(n + 2)

(iv) Cs[FeCl₄]

IUPAC name: Caesium tetrachloroferrate (III) 

Oxidation state of Fe = +3 

Electronic configuration of d⁶ = e_g²t_2g³

Coordination number = 4

Shape: tetrahedral 

Stereochemistry: optically inactive

Magnetic moment: 

(v) K₄[Mn(CN)₆]

Potassium hexacyanomanganate(II)

Oxidation state of manganese = +2

Electronic configuration: d⁵⁺: t_2g⁵

Coordination number = 6

Shape: octahedral.

Streochemistry: optically inactive

Magnetic moment, μ = √n(n + 2)

Question36. What is meant by stability of a coordination compound in solution? State the factors which govern stability of complexes.

Solution :
The stability of a complex in a solution refers to the degree of association between the two species involved in a state of equilibrium. Stability can be expressed quantitatively in terms of stability constant or formation constant.

Stability Constant = 

For this reaction, the greater the value of the stability constant, the greater is the proportion of ML₃ in the solution.

Stability can be of two types:

(a) Thermodynamic stability:

The extent to which the complex will be formed or will be transformed into another species at the point of equilibrium is determined by thermodynamic stability.

(b) Kinetic stability:

This helps in determining the speed with which the transformation will occur to attain the state of equilibrium.

Factors that affect the stability of a complex are:

(a) Charge on the central metal ion: Thegreater the charge on the central metal ion, the greater is the stability of the complex.

Basic nature of the ligand: A more basic ligand will form a more stable complex.

Presence of chelate rings: Chelation increases the stability of complexes. 

Question37. What is meant by the chelate effect? Give an example.

Solution :
When a ligand attaches to the metal ion in a manner that forms a ring, then the metal- ligand association is found to be more stable. In other words, we can say that complexes containing chelate rings are more stable than complexes without rings. This is known as the chelate effect.

For example:

Question38. Discuss briefly giving an example in each case the role of coordination compounds in:

(i) biological system

(ii) medicinal chemistry

(iii) analytical chemistry

(iv) extraction/metallurgy of metals

Solution :
(i) Role of coordination compounds in biological systems: 

We know that photosynthesis is made possible by the presence of the chlorophyll pigment. This pigment is a coordination compound of magnesium. In the human biological system, several coordination compounds play important roles. For example, the oxygen-carrier of blood, i.e., haemoglobin, is a coordination compound of iron.

(ii) Role of coordination compounds in medicinal chemistry:

Certain coordination compounds of platinum (for example, cis-platin) are used for inhibiting the growth of tumours.

(iii) Role of coordination compounds in analytical chemistry:

During salt analysis, a number of basic radicals are detected with the help of the colour changes they exhibit with different reagents. These colour changes are a result of the coordination compounds or complexes that the basic radicals form with different ligands.

(iii) Role of coordination compounds in extraction or metallurgy of metals:

The process of extraction of some of the metals from their ores involves the formation of complexes. For example, in aqueous solution, gold combines with cyanide ions to form [Au(CN)₂]. From this solution, gold is later extracted by the addition of zinc metal.

Question39. How many ions are produced from the complex Co(NH₃)₆Cl₂ in solution?

(i) 6 

(ii) 4 

(iii) 3 

(iv) 2

Solution :
(iii) The given complex can be written as [Co(NH₃)₆]Cl_2.

Thus_, [Co(NH₃)₆]⁺ along with two Cl⁻ ions are produced.

Question40. Amongst the following ions which one has the highest magnetic moment value?

(i) [Cr(H₂O)₆]³⁺

(ii) [Fe(H₂O)₆]²⁺

(iii) [Zn(H₂O)₆]²⁺

Solution :
(i) No. of unpaired electrons in [Cr(H₂O)₆]³⁺ = 3

Then, μ  = √n(n + 2)

(ii) No. of unpaired electrons in [Fe(H₂O)₆]²⁺ = 4

Then, μ = √n(n + 2)

 = √4(4 + 2)

= √2

= ˜ 5 BM

(iii) No. of unpaired electrons in [Zn(H₂O)₆]²⁺ = 0

Hence, [Fe(H₂O)₆]²⁺ has the highest magnetic moment value.

Question41. The oxidation number of cobalt in K[Co(CO)₄] is

(i) +1

(ii) +3

(iii) −1

(iv) −3

Solution :
We know that CO is a neutral ligand and K carries a charge of +1.

Therefore, the complex can be written as K⁺[Co(CO)₄]⁻. Therefore, the oxidation number of Co in the given complex is −1. Hence, option (iii) is correct.

Question42. Amongst the following, the most stable complex is

(i) [Fe(H₂O)₆]³⁺

(ii) [Fe(NH₃)₆]³⁺

(iii) [Fe(C₂O₄)₃]³⁻

(iv) [FeCl₆]³⁻

Solution :
We know that the stability of a complex increases by chelation. Therefore, the most stable complex is [Fe(C₂O₄)₃]³⁻.

43. What will be the correct order for the wavelengths of absorption in the visible region for the following:

[Ni(NO₂)₆]⁴⁻, [Ni(NH₃)₆]²⁺, [Ni(H₂O)₆]²⁺

Solution :
The central metal ion in all the three complexes is the same. Therefore, absorption in the visible region depends on the ligands. The order in which the CFSE values of the ligands increases in the spectrochemical series is as follows:

H₂O < NH₃ < NO₂⁻

Thus, the amount of crystal-field splitting observed will be in the following order:

Hence, the wavelengths of absorption in the visible region will be in the order:

[Ni(H₂O)₆]²⁺ > [Ni(NH₃)₆]²⁺ > [Ni(NO₂)₆]⁴⁻