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CLASS 12 · CHEMISTRY · CHAPTER 4

The d-and f-Block Elements

Easy answers to all ten in-text questions and thirty-eight exercises on transition and inner-transition elements.

48 worked answersComplete chapter answers

48 worked answers · short steps first, explanations when you need them

In-text Questions

Textbook pages 92–114

Question 4.1

Silver has a full 4d shell in its ground state. Why is it considered a transition element?

Steps only

Ag²⁺ is [Kr]4d⁹, so it has an incomplete d subshell.

Answer

Ag is a transition element.

Question 4.2

Why does zinc have the lowest enthalpy of atomisation in the first transition series?

Steps only

Zn's filled 3d¹⁰ shell contributes little to metallic bonding.

Answer

Zn has the lowest atomisation enthalpy.

Question 4.3

Which 3d transition metal shows the largest number of oxidation states, and why?

Steps only

Mn has several available 3d and 4s electrons.

Answer

Manganese; +2 to +7.

Question 4.4

Why is E°(Cu²⁺/Cu) positive (+0.34 V)?

Steps only

High atomisation and ionisation energies are not compensated by hydration.

Answer

Hence E°(Cu²⁺/Cu) is positive.

Question 4.5

Why do first and second ionisation enthalpies vary irregularly across the first transition series?

Steps only

Closely spaced 3d/4s levels and stable d⁵ or d¹⁰ configurations cause irregularities.

Answer

Ionisation enthalpies vary irregularly.

Question 4.6

Why do metals show their highest oxidation states mainly in oxides or fluorides?

Steps only

O and F strongly stabilise highly oxidised metal ions.

Answer

Because O and F are small and highly electronegative.

Question 4.7

Which is the stronger reducing agent, Cr²⁺ or Fe²⁺? Give a reason.

Steps only

Cr²⁺ readily loses an electron to form stable Cr³⁺ (d³).

Answer

Cr²⁺.

Question 4.8

Find the spin-only magnetic moment of aqueous M²⁺ when Z=27.

Steps only

Co²⁺ is d⁷ with 3 unpaired electrons; μ=√(3×5)=3.87 BM.

Answer

3.87 BM.

Question 4.9

Why is Cu⁺ unstable in aqueous solution?

Steps only

2Cu⁺(aq) → Cu²⁺(aq)+Cu(s).

Answer

Cu⁺ disproportionates in water.

Question 4.10

Why is contraction from one actinoid to the next greater than in the lanthanoids?

Steps only

Poor shielding by 5f electrons makes the contraction larger.

Answer

Actinoid contraction is greater.

Chapter 4 Exercises

Textbook pages 115–117

Question 4.1

Write the configurations of Cr³⁺, Pm³⁺, Cu⁺, Ce⁴⁺, Co²⁺, Lu²⁺, Mn²⁺ and Th⁴⁺.

Steps only

Remove outer s electrons first; the listed ions have the configurations shown.

Answer

Cr³⁺ [Ar]3d³; Pm³⁺ [Xe]4f⁴; Cu⁺ [Ar]3d¹⁰; Ce⁴⁺ [Xe]; Co²⁺ [Ar]3d⁷; Lu²⁺ [Xe]4f¹⁴; Mn²⁺ [Ar]3d⁵; Th⁴⁺ [Rn].

Question 4.2

Why are Mn²⁺ compounds more stable than Fe²⁺ compounds towards oxidation to +3?

Steps only

Mn²⁺ is already d⁵; Fe²⁺ forms stable d⁵ Fe³⁺ when oxidised.

Answer

Mn²⁺ is more resistant to oxidation.

Question 4.3

Why does the +2 state become more stable across the first half of the 3d series?

Steps only

The third ionisation energy generally rises across the row.

Answer

The +2 state becomes more stable.

Question 4.4

How much do electronic configurations determine oxidation-state stability in the first transition series? Give examples.

Steps only

Stable d⁵ (Mn²⁺, Fe³⁺) and d¹⁰ (Zn²⁺) states are favoured, along with other energy effects.

Answer

Configurations are important but not the only factor.

Question 4.5

Suggest stable oxidation states for atoms with d³, d⁵, d⁸ and d⁴ configurations.

Steps only

Commonly favourable arrangements include d⁰, d⁵ and d¹⁰; actual stability depends on the element.

Answer

d³→+3; d⁵→+2; d⁸→often +2; d⁴→often +2 or +3.

Question 4.6

Name first-series oxometal anions where the metal oxidation state equals its group number.

Steps only

Vanadate, chromate/dichromate and permanganate contain V(V), Cr(VI) and Mn(VII).

Answer

VO₄³⁻, CrO₄²⁻/Cr₂O₇²⁻ and MnO₄⁻.

Question 4.7

What is lanthanoid contraction, and what are its consequences?

Steps only

Poor 4f shielding causes the La-to-Lu size decrease; Zr and Hf become nearly equal in size.

Answer

Gradual size decrease across the lanthanoids.

Question 4.8

State characteristics of transition elements, explain the name, and identify d-block elements not regarded as transition elements.

Steps only

Part-filled d shells give characteristic properties; Zn, Cd and Hg have full d shells in atoms and common ions.

Answer

Zn, Cd and Hg are not transition elements by the strict definition.

Question 4.9

How do transition-element electronic configurations differ from those of non-transition elements?

Steps only

Transition elements fill (n−1)d; main-group elements fill s or p.

Answer

They fill inner d orbitals.

Question 4.10

What oxidation states do lanthanoids show?

Steps only

+3 is usual; +2 and +4 occur for some elements.

Answer

+3, sometimes +2 or +4.

Question 4.11

Give reasons: (i) paramagnetism (ii) high atomisation enthalpy (iii) coloured compounds (iv) catalytic activity.

Steps only

Unpaired d electrons cause magnetism and colour; strong metal bonding raises atomisation energy; changing oxidation states and surfaces aid catalysis.

Answer

These properties arise mainly from partially filled d orbitals.

Question 4.12

What are interstitial compounds, and why are they common for transition metals?

Steps only

Small atoms sit in lattice gaps, e.g. TiC and Fe₃H.

Answer

Interstitial compounds contain atoms in the metal lattice gaps.

Question 4.13

How does oxidation-state variation in transition metals differ from that in non-transition metals? Give examples.

Steps only

Close ns and (n−1)d energies let transition metals use different numbers of electrons.

Answer

Transition metals often show many states one unit apart.

Question 4.14

Describe how K₂Cr₂O₇ is prepared from chromite ore and what raising pH does to a dichromate solution.

Steps only

Ore → chromate → acidified dichromate → K₂Cr₂O₇ crystals; alkali converts dichromate to chromate.

Answer

Higher pH shifts orange dichromate to yellow chromate.

Question 4.15

Explain dichromate's oxidising action and write ionic equations with iodide, Fe²⁺ and H₂S.

Steps only

Use Cr₂O₇²⁻+14H⁺+6e⁻→2Cr³⁺+7H₂O and add the oxidation half-reaction.

Answer

Equations are given for I⁻, Fe²⁺ and H₂S.

Question 4.16

Describe KMnO₄ preparation and its acidified reactions with Fe²⁺, SO₂ and oxalic acid.

Steps only

Make manganate from MnO₂, then oxidise it to permanganate; acidic MnO₄⁻ becomes Mn²⁺.

Answer

The balanced reactions are shown in the answer.

Question 4.17

Using the given potentials, compare (i) Fe³⁺ stability with Cr³⁺/Mn³⁺ and (ii) ease of oxidation of Fe, Cr and Mn metals.

Steps only

Use E° signs: positive M³⁺/M²⁺ favours reduction; more negative M²⁺/M favours metal oxidation.

Answer

Fe³⁺ stability: Cr³⁺ > Fe³⁺ > Mn³⁺; oxidation ease: Mn > Cr > Fe.

Question 4.18

Which aqueous ions among Ti³⁺, V³⁺, Cu⁺, Sc³⁺, Mn²⁺, Fe³⁺ and Co²⁺ are coloured? Explain.

Steps only

Partly filled d shells give colour; d⁰ and d¹⁰ ions are colourless.

Answer

Coloured: Ti³⁺, V³⁺, Mn²⁺, Fe³⁺, Co²⁺. Colourless: Cu⁺, Sc³⁺.

Question 4.19

Compare the stability of the +2 oxidation state across the first transition series.

Steps only

+2 is common; d⁵ Mn²⁺, d¹⁰ Zn²⁺ and strong hydration cause notable stability.

Answer

Stability varies; Mn²⁺ and Zn²⁺ are especially favoured.

Question 4.20

Compare actinoids and lanthanoids in electronic configuration, size, oxidation states and reactivity.

Steps only

4f/+3 is typical for lanthanoids; 5f/multiple states, greater contraction and radioactivity mark actinoids.

Answer

Actinoids have more variable chemistry than lanthanoids.

Question 4.21

Explain (i) Cr²⁺ is reducing but Mn³⁺ oxidising, (ii) Co²⁺ is stable in water but complexing agents help oxidise it, (iii) d¹ ions are unstable.

Steps only

Stable product states explain the redox behaviour; ligands can stabilise Co³⁺.

Answer

Cr²⁺ is a reducing agent; Mn³⁺ is an oxidising agent.

Question 4.22

Define disproportionation and give two aqueous examples.

Steps only

One oxidation state is both oxidised and reduced.

Answer

Examples: Cu⁺ and MnO₄²⁻ disproportionate.

Question 4.23

Which first-row transition metal most often shows +1, and why?

Steps only

Cu loses its 4s electron to form stable 3d¹⁰ Cu⁺.

Answer

Copper.

Question 4.24

Count unpaired electrons in gaseous Mn³⁺, Cr³⁺, V³⁺ and Ti³⁺. Which is most stable in water?

Steps only

d⁴, d³, d², d¹ give 4, 3, 2, 1 unpaired electrons.

Answer

Cr³⁺ is especially stable in water.

Question 4.25

Explain with examples: (i) lowest oxides are basic and highest amphoteric/acidic (ii) highest oxidation states occur in oxides/fluorides (iii) high states occur in oxoanions.

Steps only

Higher oxidation states increase oxide acidity; O/F and oxoanion bonds stabilise high states.

Answer

Examples: V₂O₃/V₂O₅, CrO₄²⁻, MnO₄⁻.

Question 4.26

Outline preparation of (i) K₂Cr₂O₇ from chromite and (ii) KMnO₄ from pyrolusite.

Steps only

Chromite: chromate → dichromate → potassium dichromate. Pyrolusite: manganate → permanganate.

Answer

These are the preparation sequences.

Question 4.27

What is an alloy? Name a lanthanoid-containing alloy and state its uses.

Steps only

Mischmetall contains mostly lanthanoids and is used in lighter flints.

Answer

Mischmetall.

Question 4.28

What are inner transition elements? Which of atomic numbers 29, 59, 74, 95, 102 and 104 are inner transition elements?

Steps only

59, 95 and 102 lie in the f-block.

Answer

59, 95, 102.

Question 4.29

Why is actinoid chemistry less regular than lanthanoid chemistry? Give oxidation-state examples.

Steps only

Close 5f, 6d and 7s energies allow varied oxidation states.

Answer

Actinoid chemistry is more variable and complex.

Question 4.30

Name the last actinoid, give its configuration, and state its likely oxidation state.

Steps only

Lr is the last actinoid and commonly forms Lr³⁺.

Answer

Lawrencium; +3.

Question 4.31

Use Hund's rule to find the configuration and spin-only magnetic moment of Ce³⁺.

Steps only

n=1; μ=√(1×3)=1.73 BM.

Answer

[Xe]4f¹; 1.73 BM.

Question 4.32

Name lanthanoids that show +4 and +2 states and link these states to configurations.

Steps only

Ce⁴⁺ is f⁰, Eu²⁺ f⁷ and Yb²⁺ f¹⁴; related states occur for Pr, Tb, Dy, Sm and Tm.

Answer

+4: Ce, Pr, Tb, Dy; +2: Sm, Eu, Tm, Yb.

Question 4.33

Compare actinoids and lanthanoids in configuration, oxidation states and reactivity.

Steps only

4f/+3 is typical of lanthanoids; 5f/multiple states/radioactivity mark actinoids.

Answer

Actinoids are more variable and radioactive.

Question 4.34

Write configurations for atomic numbers 61, 91, 101 and 109.

Steps only

Use [Xe] for Pm and [Rn] for the actinoids/heavier element.

Answer

Pm [Xe]4f⁵6s²; Pa [Rn]5f²6d¹7s²; Md [Rn]5f¹³7s²; Mt [Rn]5f¹⁴6d⁷7s².

Question 4.35

Compare first-row transition metals with their second- and third-row partners by configurations, oxidation states, ionisation enthalpies and size.

Steps only

3d/4d/5d filling distinguishes the rows; 4d and 5d sizes are similar due to lanthanoid contraction.

Answer

The three rows share trends but differ in oxidation states and size.

Question 4.36

Give 3d counts for Ti²⁺, V²⁺, Cr³⁺, Mn²⁺, Fe²⁺, Fe³⁺, Co²⁺, Ni²⁺ and Cu²⁺, and describe their high-spin octahedral filling in water.

Steps only

Counts: d², d³, d³, d⁵, d⁶, d⁵, d⁷, d⁸, d⁹; weak-field water gives high spin.

Answer

The electron counts and unpaired counts are listed in the answer.

Question 4.37

Comment on how the first transition series differs from heavier transition series.

Steps only

Heavier transition elements have more extended orbitals and often show higher coordination and oxidation states.

Answer

The first row often differs in bonding and oxidation-state behaviour.

Question 4.38

What can be inferred from magnetic moments: K₄[Mn(CN)₆] 2.2 BM; [Fe(H₂O)₆]²⁺ 5.3 BM; K₂[MnCl₄] 5.9 BM?

Steps only

The moments correspond approximately to 1, 4 and 5 unpaired electrons.

Answer

Low-spin Mn complex; high-spin Fe²⁺ and Mn²⁺ complexes.

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