Simple answers to ten in-text question groups, all twenty-eight numbered exercises, and the three extra questions printed in the current NCERT chapter.
State possible isomerism for (i) K[Cr(H₂O)₂(ox)₂]; (ii) [Co(en)₃]Cl₃; (iii) [Co(NH₃)₅(NO₂)](NO₃)₂; (iv) [Pt(NH₃)(H₂O)Cl₂].
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(i) cis/trans geometrical isomers; the cis form is optically active. (ii) Two optical isomers. (iii) Linkage isomers (NO₂ through N or O) and ionisation isomers; the text notes ten total forms when the relevant geometrical arrangements are counted. (iv) cis and trans geometrical isomers.
Answer
(i) cis/trans geometrical isomers; the cis form is optically active.
(ii) Two optical isomers.
(iii) Linkage isomers (NO₂ through N or O) and ionisation isomers; the text notes ten total forms when the relevant geometrical arrangements are counted.
(iv) cis and trans geometrical isomers.
Question 5.4
How can you show that [Co(NH₃)₅Cl]SO₄ and [Co(NH₃)₅(SO₄)]Cl are ionisation isomers?
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The first releases SO₄²⁻ and gives BaSO₄ with Ba²⁺, but no AgCl with Ag⁺. The second releases Cl⁻ and gives AgCl with Ag⁺, but no BaSO₄ with Ba²⁺.
Answer
The first releases SO₄²⁻ and gives BaSO₄ with Ba²⁺, but no AgCl with Ag⁺. The second releases Cl⁻ and gives AgCl with Ag⁺, but no BaSO₄ with Ba²⁺.
Question 5.5
Explain using valence bond theory why [Ni(CN)₄]²⁻ is square-planar and diamagnetic, while [NiCl₄]²⁻ is tetrahedral and paramagnetic.
List types of coordination-compound isomerism with one example of each.
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Structural: ionisation [Co(NH₃)₅Br]SO₄/[Co(NH₃)₅SO₄]Br; linkage [Co(NH₃)₅(NO₂)]²⁺ (N- or O-bound); coordination [Co(NH₃)₆][Cr(CN)₆]/[Cr(NH₃)₆][Co(CN)₆]; solvate [Cr(H₂O)₆]Cl₃/[Cr(H₂O)₅Cl]Cl₂·H₂O. Stereoisomerism: geometrical cis/trans [Pt(NH₃)₂Cl₂], and optical [Co(en)₃]³⁺.
Answer
Structural: ionisation [Co(NH₃)₅Br]SO₄/[Co(NH₃)₅SO₄]Br; linkage [Co(NH₃)₅(NO₂)]²⁺ (N- or O-bound); coordination [Co(NH₃)₆][Cr(CN)₆]/[Cr(NH₃)₆][Co(CN)₆]; solvate [Cr(H₂O)₆]Cl₃/[Cr(H₂O)₅Cl]Cl₂·H₂O. Stereoisomerism: geometrical cis/trans [Pt(NH₃)₂Cl₂], and optical [Co(en)₃]³⁺.
Question 5.9
How many geometrical isomers are possible for (i) [Cr(ox)₃]³⁻ and (ii) [Co(NH₃)₃Cl₃]?
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(i) One geometrical arrangement (it has a pair of optical forms). (ii) Two: fac and mer.
Answer
(i) One geometrical arrangement (it has a pair of optical forms).
(ii) Two: fac and mer.
Question 5.10
Describe the optical isomers for (i) [Cr(ox)₃]³⁻ (ii) [PtCl₂(en)₂]²⁺ (iii) [Cr(NH₃)₂Cl₂(en)]⁺.
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(i) Two mirror forms, Δ and Λ. (ii) The cis form has two optical forms; trans is achiral. (iii) Optical isomerism occurs for the cis arrangement with the two NH₃ and two Cl ligands placed so no mirror plane remains; its mirror image is the second form.
Answer
(i) Two mirror forms, Δ and Λ.
(ii) The cis form has two optical forms; trans is achiral.
(iii) Optical isomerism occurs for the cis arrangement with the two NH₃ and two Cl ligands placed so no mirror plane remains; its mirror image is the second form.
Question 5.11
List geometrical and optical forms of (i) [CoCl₂(en)₂]⁺ (ii) [Co(NH₃)Cl(en)₂]²⁺ (iii) [Co(NH₃)₂Cl₂(en)]⁺.
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(i) cis and trans; cis exists as a pair of optical isomers, trans is achiral. (ii) cis and trans arrangements of NH₃/Cl; the cis form is optically active as a pair. (iii) fac and mer geometrical arrangements; the unsymmetrical fac arrangement has an optical pair, while the mer form is achiral.
Answer
(i) cis and trans; cis exists as a pair of optical isomers, trans is achiral.
(ii) cis and trans arrangements of NH₃/Cl; the cis form is optically active as a pair.
(iii) fac and mer geometrical arrangements; the unsymmetrical fac arrangement has an optical pair, while the mer form is achiral.
Question 5.12
List geometrical isomers of [Pt(NH₃)(Br)(Cl)(py)] and say how many are optically active.
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Three geometrical isomers; none is optically active.
Answer
Three geometrical isomers; none is optically active.
Question 5.13
Why does aqueous CuSO₄ give (i) a green precipitate with KF and (ii) a bright-green solution with KCl?
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(i) Green CuF₂ precipitate forms. (ii) Soluble chloro-complex ions form, giving a bright-green solution.
Answer
(i) Green CuF₂ precipitate forms.
(ii) Soluble chloro-complex ions form, giving a bright-green solution.
Question 5.14
What complex forms when excess KCN is added to CuSO₄, and why does passing H₂S not precipitate copper sulphide?
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The coordination entity is [Cu(CN)₄]²⁻ (often represented as a stable Cu(I)-cyanide complex under excess cyanide). H₂S does not precipitate CuS because copper is held in a stable cyanide complex and free copper-ion concentration is very low.
Answer
The coordination entity is [Cu(CN)₄]²⁻ (often represented as a stable Cu(I)-cyanide complex under excess cyanide). H₂S does not precipitate CuS because copper is held in a stable cyanide complex and free copper-ion concentration is very low.
Question 5.15
Describe VBT bonding for (i) [Fe(CN)₆]⁴⁻ (ii) [FeF₆]³⁻ (iii) [Co(ox)₃]³⁻ (iv) [CoF₆]³⁻.
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(i) Fe²⁺ d⁶, CN⁻ strong: d²sp³, octahedral, low spin, diamagnetic. (ii) Fe³⁺ d⁵, F⁻ weak: sp³d², octahedral, five unpaired. (iii) Co³⁺ d⁶, oxalate gives an inner-orbital d²sp³ complex, diamagnetic. (iv) Co³⁺ d⁶, F⁻ weak: sp³d², four unpaired, paramagnetic.
(ii) Fe³⁺ d⁵, F⁻ weak: sp³d², octahedral, five unpaired.
(iii) Co³⁺ d⁶, oxalate gives an inner-orbital d²sp³ complex, diamagnetic.
(iv) Co³⁺ d⁶, F⁻ weak: sp³d², four unpaired, paramagnetic.
Question 5.16
Show the d-orbital splitting in an octahedral field.
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The lower t₂g set is dxy, dxz, dyz; the higher e_g set is dz², dx²−y². Their separation is Δ₀; relative to the barycentre, t₂g is −0.4Δ₀ and e_g is +0.6Δ₀.
Answer
The lower t₂g set is dxy, dxz, dyz; the higher e_g set is dz², dx²−y². Their separation is Δ₀; relative to the barycentre, t₂g is −0.4Δ₀ and e_g is +0.6Δ₀.
Question 5.17
What is the spectrochemical series? Distinguish weak- and strong-field ligands.
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A common order is I⁻ < Br⁻ < Cl⁻ < F⁻ < OH⁻ < H₂O < NH₃ < en < CN⁻ < CO. Weak-field ligands give small splitting; strong-field ligands give large splitting.
Answer
A common order is I⁻ < Br⁻ < Cl⁻ < F⁻ < OH⁻ < H₂O < NH₃ < en < CN⁻ < CO. Weak-field ligands give small splitting; strong-field ligands give large splitting.
Question 5.18
Define Δ₀ and explain how it controls electron arrangement.
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Small Δ₀ relative to pairing energy gives high spin; large Δ₀ gives low spin.
Answer
Small Δ₀ relative to pairing energy gives high spin; large Δ₀ gives low spin.
Question 5.19
Why is [Cr(NH₃)₆]³⁺ paramagnetic while [Ni(CN)₄]²⁻ is diamagnetic?
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[Cr(NH₃)₆]³⁺ has 3 unpaired electrons; [Ni(CN)₄]²⁻ has 0.
Answer
[Cr(NH₃)₆]³⁺ has 3 unpaired electrons; [Ni(CN)₄]²⁻ has 0.
Question 5.20
Why is [Ni(H₂O)₆]²⁺ green but [Ni(CN)₄]²⁻ colourless?
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The aqua complex absorbs visible light and appears green; the cyanide complex appears colourless because its absorption is not in the visible region.
Answer
The aqua complex absorbs visible light and appears green; the cyanide complex appears colourless because its absorption is not in the visible region.
Question 5.21
Why do [Fe(CN)₆]⁴⁻ and [Fe(H₂O)₆]²⁺ have different colours?
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Different ligands cause different crystal-field splitting, so the complexes absorb different visible wavelengths and have different colours.
Answer
Different ligands cause different crystal-field splitting, so the complexes absorb different visible wavelengths and have different colours.
Question 5.22
Describe bonding in metal carbonyls.
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Metal–CO bonding includes CO→metal σ donation and metal→CO π back-donation; the synergic effect strengthens the bond.
Answer
Metal–CO bonding includes CO→metal σ donation and metal→CO π back-donation; the synergic effect strengthens the bond.
Question 5.23
Find oxidation state, d count and coordination number in (i) K₃[Co(ox)₃] (ii) cis-[CrCl₂(en)₂]Cl (iii) (NH₄)₂[CoF₄] (iv) [Mn(H₂O)₆]SO₄.
Steps only
(i) Co +3, d⁶, CN 6. (ii) Cr +3, d³, CN 6. (iii) Co +2, d⁷, CN 4. (iv) Mn +2, d⁵, CN 6.
Answer
(i) Co +3, d⁶, CN 6.
(ii) Cr +3, d³, CN 6.
(iii) Co +2, d⁷, CN 4.
(iv) Mn +2, d⁵, CN 6.
Question 5.24
For each listed complex give name, oxidation state, d count, coordination number, geometry and magnetic moment.