This MCQ module is based on: NCERT Exercises and Solutions: Classification of Elements and Periodicity in Properties
NCERT Exercises and Solutions: Classification of Elements and Periodicity in Properties
This assessment will be based on: NCERT Exercises and Solutions: Classification of Elements and Periodicity in Properties
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NCERT Exercises and Solutions: Classification of Elements and Periodicity
📋 Chapter Summary
Classification of Elements & Periodicity — Key Takeaways
- Genesis: Döbereiner's Triads (1817) → Newlands' Octaves (1865) → Mendeleev's Periodic Table (1869) → Moseley's Modern Periodic Law (1913).
- Modern Periodic Law: Properties of elements are periodic functions of their atomic numbers (not atomic masses).
- Periodic Table structure: 7 periods, 18 groups; divided into s, p, d, f blocks based on the orbital being filled.
- IUPAC nomenclature for Z > 100: digits replaced by Latin/Greek roots + suffix "-ium".
- Atomic radius: Decreases across period (higher Z, same shell); increases down group (new shell added).
- Cation < parent atom < anion. Isoelectronic species: more Z = smaller size.
- Ionisation enthalpy: Energy to remove e⁻. Increases across period; decreases down group. Anomalies: B<Be (s vs p), O<N (half-filled stability).
- Electron gain enthalpy: Energy on adding e⁻. Generally negative (exothermic). Cl > F (negative) due to F's compactness.
- Electronegativity: Tendency to attract bonding electrons. F is most EN (4.0); Cs/Fr least.
- Anomalous Period 2: Small size, high charge density, no d-orbitals → unique chemistry. Diagonal relationship: Li↔Mg, Be↔Al, B↔Si.
- Reactivity: Highest at extremes (Group 1 metals, Group 17 non-metals); lowest near centre.
- Oxide character: Basic (left) → Amphoteric (middle) → Acidic (right) across a period.
🔑 Key Terms & Formulas
📝 NCERT Exercises (Worked Solutions)
Exercise 3.1
What is the basic theme of organisation in the periodic table?
Exercise 3.2
Which important property did Mendeleev use to classify the elements in his periodic table and did he stick to that?
- He placed Te (mass 127.6) BEFORE I (mass 126.9), prioritizing chemical similarity over strict mass order.
- He left gaps for undiscovered elements (eka-Al, eka-Si, eka-B).
Exercise 3.3
What is the basic difference in approach between the Mendeleev's Periodic Law and the Modern Periodic Law?
Modern (Moseley, 1913): Properties are a periodic function of their atomic numbers.
The shift came after Moseley's X-ray studies showed that the fundamental property of an element is the number of protons (Z), which determines the number of electrons and hence chemistry. Atomic mass varies with isotopes; atomic number is unique to each element.
Exercise 3.4
On the basis of quantum numbers, justify that the sixth period of the periodic table should have 32 elements.
Capacities: 6s = 2, 4f = 14, 5d = 10, 6p = 6.
\[\text{Total} = 2 + 14 + 10 + 6 = \boxed{32 \text{ electrons}}\] This means 32 different elements can occupy Period 6, matching the actual count: Cs (Z=55) to Rn (Z=86) — exactly 32 elements.
Exercise 3.5
In terms of period and group where would you locate the element with Z = 114?
Filling: [Rn] 7s² 5f¹⁴ 6d¹⁰ 7p². The 7p² indicates Group 14 (carbon family).
Z = 114 is in Period 7, Group 14. This is now Flerovium (Fl).
Exercise 3.6
Write the atomic number of the element present in the third period and seventeenth group of the periodic table.
Configuration: [Ne] 3s² 3p⁵. Counting electrons: 2+2+6+2+5 = 17 electrons (so Z = 17).
Element: Chlorine (Cl, Z = 17).
Exercise 3.7
Which element do you think would have been named by (i) Lawrence Berkeley Laboratory; (ii) Seaborg's group?
(ii) Seaborg's group: Seaborgium (Sg, Z = 106) — named after Glenn Seaborg, who discovered/co-discovered 10 transuranium elements.
Both teams contributed many super-heavy element discoveries; the IUPAC officially recognized these names.
Exercise 3.8
Why do elements in the same group have similar physical and chemical properties?
- They form similar types of bonds (ionic vs covalent)
- They achieve similar oxidation states
- They form analogous compounds (e.g., LiCl, NaCl, KCl all are 1:1 ionic chlorides)
Exercise 3.9
What does atomic radius and ionic radius really mean to you?
Ionic radius: The radius of an ion in an ionic crystal, estimated from the inter-atomic distances. Cations are smaller than parent atoms (electron(s) removed); anions are larger (electrons added).
Both are operational definitions — useful for comparing trends and predicting bonding, even though they aren't physically sharp.
Exercise 3.10
How do atomic radius vary in a period and in a group? How do you explain the variation?
Reason: As we move left to right, nuclear charge (Z) increases by 1 per element, but electrons are added to the same shell. The increased pull from the nucleus shrinks the atom. Shielding effect of inner electrons remains roughly constant.
Down a group: Atomic radius INCREASES (e.g., Li 152 → Cs 262 pm).
Reason: A new principal shell is added at each step. This extra shell, with greater shielding from intermediate filled shells, more than compensates for the increased nuclear charge.
Exercise 3.11
What do you understand by isoelectronic species? Name a species that will be isoelectronic with each of the following: (a) F⁻ (b) Ar (c) Mg²⁺ (d) Rb⁺.
(a) F⁻ has 10 electrons. Isoelectronic: Na⁺ (also 10 e⁻; or O²⁻, Mg²⁺, Ne, Al³⁺).
(b) Ar has 18 electrons. Isoelectronic: K⁺ (also 18 e⁻; or S²⁻, Cl⁻, Ca²⁺).
(c) Mg²⁺ has 10 electrons. Isoelectronic: Ne (also 10 e⁻; or F⁻, O²⁻, Na⁺).
(d) Rb⁺ has 36 electrons. Isoelectronic: Kr (also 36 e⁻; or Sr²⁺, Br⁻).
Exercise 3.12
Consider the following species: N³⁻, O²⁻, F⁻, Na⁺, Mg²⁺ and Al³⁺. (a) What is common in them? (b) Arrange them in order of increasing ionic radii.
(b) For isoelectronic species, more protons (Z) means smaller ionic radius (electron cloud pulled tighter):
N³⁻ (Z=7) > O²⁻ (Z=8) > F⁻ (Z=9) > Na⁺ (Z=11) > Mg²⁺ (Z=12) > Al³⁺ (Z=13).
Increasing order: Al³⁺ < Mg²⁺ < Na⁺ < F⁻ < O²⁻ < N³⁻.
Radii (pm): 50 < 65 < 95 < 136 < 140 < 171.
Exercise 3.13
Explain why cations are smaller and anions larger in radii than their parent atoms?
- Each remaining electron experiences a higher effective nuclear charge → pulled closer to nucleus.
- Often the OUTERMOST shell is completely emptied (e.g., Na 3s¹ → Na⁺ has only 1s²2s²2p⁶) — drastic reduction in size.
- Less inter-electronic repulsion → tighter packing.
Anion larger: Adding electrons to an atom forms an anion. With more electrons over the same nuclear charge:
- Each electron experiences less effective pull from nucleus.
- Increased inter-electronic repulsion expands the electron cloud.
Exercise 3.14
What is the significance of the terms — 'isolated gaseous atom' and 'ground state' while defining the ionization enthalpy and electron gain enthalpy?
"Ground state": The lowest energy electronic configuration. If the atom is in an excited state (electrons in higher orbitals), the energy required to remove or add an electron differs from the standard value.
Together, these conditions define a standard reference state so that ionisation enthalpy values can be compared meaningfully across elements. Both ΔᵢH and ΔₑgH are defined for X(g), ground state.
Exercise 3.15
Energy of an electron in the ground state of the hydrogen atom is −2.18 × 10⁻¹⁸ J. Calculate the ionisation enthalpy of atomic hydrogen in terms of J mol⁻¹.
Energy per atom: |E| = 2.18 × 10⁻¹⁸ J.
\[\Delta_i H = (2.18 \times 10^{-18} \text{ J}) \times (6.022 \times 10^{23} \text{ atoms/mol})\] \[\Delta_i H = 13.13 \times 10^5 \text{ J/mol} = \boxed{1.313 \times 10^6 \text{ J/mol} = 1312 \text{ kJ/mol}}\] This matches the experimental value for hydrogen.
Exercise 3.16
Among the second period elements the actual ionization enthalpies are in the order Li < B < Be < C < O < N < F < Ne. Explain why (i) Be has higher ΔᵢH than B, (ii) O has lower ΔᵢH than N and F.
- Be: [He] 2s² — fully filled 2s subshell, extra stability.
- B: [He] 2s² 2p¹ — one lone p-electron is loosely bound.
- The s-orbital is more penetrating than p, so the 2s electron in Be is more tightly held than the 2p electron in B.
- Removing 2p in B is easier than disrupting Be's full 2s² → IE(B) < IE(Be).
- N: [He] 2s² 2p³ — exactly half-filled p-subshell, extra stability (Hund's rule, exchange energy).
- O: [He] 2s² 2p⁴ — paired p-electron experiences increased electron-electron repulsion.
- Removing the paired electron in O is easier than disrupting half-filled stability in N → IE(O) < IE(N).
Exercise 3.17
How would you explain the fact that the first ionization enthalpy of sodium is lower than that of magnesium but its second ionization enthalpy is higher than that of magnesium?
- Na: [Ne] 3s¹ — single 3s electron, easily removed. ΔᵢH₁ = 496 kJ/mol.
- Mg: [Ne] 3s² — fully filled 2s². Removing one electron requires breaking pair-up, plus higher Z. ΔᵢH₁ = 738 kJ/mol.
- So IE₁(Na) < IE₁(Mg).
- Na⁺ has [Ne] config (full octet, very stable). Removing 2nd electron means going INTO inner shell — energetically very expensive. ΔᵢH₂ = 4562 kJ/mol.
- Mg⁺ has [Ne] 3s¹ — still has a loosely held 3s electron, easy to remove. ΔᵢH₂ = 1450 kJ/mol.
- So IE₂(Na) >> IE₂(Mg).
Exercise 3.18
What are the various factors due to which the ionization enthalpy of the main group elements tends to decrease down a group?
- Increase in atomic size (radius): Outermost electron is farther from nucleus → less attraction → easier to remove.
- Increased shielding effect: Inner shells of electrons screen the outermost electron from the nuclear charge. More inner shells = more shielding = lower effective nuclear charge on valence e⁻.
- Increase in the number of inner shells: Down the group, n increases by 1 each time, adding new shell(s) of electrons. Although Z also increases, the effect of bigger atom + more shielding outweighs the higher nuclear charge.
Example: Li (520) → Na (496) → K (419) → Rb (403) → Cs (376) kJ/mol.
Exercise 3.19
The first ionization enthalpy values (in kJ mol⁻¹) of group 13 elements are: B 801, Al 577, Ga 579, In 558, Tl 589. How would you explain this fact that the first ionization enthalpy of Ga is greater than Al?
Reason — Poor shielding of d-electrons:
- Al has [Ne] 3s² 3p¹ (only s and p inner shells).
- Ga has [Ar] 3d¹⁰ 4s² 4p¹. Its 3d¹⁰ inner shell shields the 4p¹ electron less effectively than s/p shells of Al.
- The d-orbitals are diffuse and don't shield well, so Ga's 4p¹ electron experiences higher effective nuclear charge than expected.
- Result: Ga's ionization is slightly harder than Al's.
Exercise 3.20
Which of the following pairs of elements would have a more negative electron gain enthalpy? (i) O or F (ii) F or Cl.
- F: 2s² 2p⁵ + e⁻ → 2s² 2p⁶ (filled, very stable). Energy released: −328 kJ/mol.
- O: 2s² 2p⁴ + e⁻ → 2s² 2p⁵ (still incomplete). Energy released: −141 kJ/mol.
- F's gain enthalpy is more negative because adding e⁻ achieves the noble-gas Ne configuration.
- F: ΔₑgH = −328 kJ/mol; Cl: ΔₑgH = −349 kJ/mol.
- F's small 2p subshell is compact; adding new electron causes high inter-electronic repulsion, partially offsetting the energy released.
- Cl's 3p subshell is more spacious; new electron added with less repulsion → more energy released.
- Hence ΔₑgH (Cl) is more negative than ΔₑgH (F).
Exercise 3.21
Would you expect the second electron gain enthalpy of O as positive, more negative or less negative than the first? Justify your answer.
- 1st: O(g) + e⁻ → O⁻(g), ΔₑgH₁ = −141 kJ/mol (energy released).
- 2nd: O⁻(g) + e⁻ → O²⁻(g). Adding e⁻ to a NEGATIVE ion requires overcoming repulsion between the existing negative charge and incoming electron.
- So 2nd gain enthalpy is positive (energy must be supplied), about +744 kJ/mol.
Exercise 3.22
What is the basic difference between the terms electron gain enthalpy and electronegativity?
- Quantitatively measurable energy change when an isolated gaseous atom gains an electron.
- Has SI units: kJ/mol.
- Defined for the FREE atom in gas phase.
- Relative tendency of an atom IN A MOLECULE to attract bonding electrons toward itself.
- DIMENSIONLESS (a relative scale, e.g., Pauling scale).
- Defined in the bonded state, not for an isolated atom.
Exercise 3.23
How would you react to the statement that the electronegativity of N on the Pauling scale is 3.0 in all the nitrogen compounds?
- EN depends on the oxidation state and hybridization of the atom.
- N in NH₃ (sp³) has slightly different EN than N in HCN (sp).
- EN also varies with the partner atoms (more EN in NF₃ context vs. less in N₂).
Exercise 3.24
Describe the theory associated with the radius of an atom as it (a) gains an electron, (b) loses an electron.
- Number of electrons increases, but Z (number of protons) stays the same.
- Effective nuclear charge per electron decreases.
- Increased electron-electron repulsion expands the electron cloud.
- Result: Anion is LARGER than the parent atom.
- Example: Cl (99 pm) → Cl⁻ (181 pm).
- Number of electrons decreases; Z stays the same.
- Effective nuclear charge per remaining electron increases.
- Often the entire OUTERMOST shell is removed (e.g., Na 3s¹ → Na⁺ has only inner shells).
- Less electron repulsion → tighter packing.
- Result: Cation is SMALLER than the parent atom.
- Example: Na (186 pm) → Na⁺ (95 pm).
Exercise 3.25
Would you expect the first ionization enthalpies for two isotopes of the same element to be the same or different? Justify your answer.
- Isotopes have the SAME atomic number (Z), hence the SAME number of electrons and the SAME electronic configuration.
- Isotopes differ only in the number of NEUTRONS in the nucleus.
- Neutrons don't affect electron-electron interactions or the effective nuclear charge.
- Hence the energy required to remove the outermost electron is essentially the same.
Example: ¹H and ²H (deuterium) have IE ≈ 1312 kJ/mol — same to 4 significant figures.
Exercise 3.26
What are the major differences between metals and non-metals?
| Property | Metals | Non-metals |
|---|---|---|
| Position | Left and centre of table | Top right (above stair-step) |
| State at RT | Solid (except Hg, liquid) | Solids, liquids, gases |
| Melting point | Generally high | Generally low |
| Conductivity | Good (heat & electricity) | Poor (insulators), exception: graphite |
| Mechanical | Malleable, ductile | Brittle (in solid form) |
| Lustre | Shiny (lustrous) | Dull |
| Ionisation enthalpy | Low | High |
| Electronegativity | Low | High |
| Tend to form | Cations (lose e⁻) | Anions (gain e⁻) |
| Oxide character | Basic (mostly) | Acidic (mostly) |
Exercise 3.27
Use the periodic table to answer the following questions: (a) Identify an element with five electrons in the outer subshell. (b) Identify an element that would tend to lose two electrons. (c) Identify an element that would tend to gain two electrons. (d) Identify the group having metal, non-metal, liquid as well as gas at the room temperature.
(b) Tends to lose 2 electrons → alkaline earth metal, Group 2, e.g., Mg, Ca.
(c) Tends to gain 2 electrons → Group 16 (chalcogens), e.g., O, S (form O²⁻, S²⁻).
(d) Group containing metal, non-metal, liquid, AND gas at RT: Group 17 (halogens):
- F: gas (yellow); Cl: gas (yellow-green); Br: liquid (red-brown); I: solid (purple); At: solid (radioactive).
Strictly speaking, halogens are all non-metals, so this might be questioned for "metal" — perhaps the question intended to say "diverse states." Group 1 has all metals; only Group 17 has the most diverse range of states at RT among non-metals.
Exercise 3.28
The increasing order of reactivity among group 1 elements is Li < Na < K < Rb < Cs whereas that among group 17 elements is F > Cl > Br > I. Explain.
- Reactivity here = tendency to LOSE electron.
- Down the group: atomic size increases, ionization enthalpy decreases → easier to remove valence electron.
- Cs gives up its 6s¹ electron most readily → most reactive.
- Reactivity here = tendency to GAIN electron.
- Down the group: atomic size increases → less attraction for incoming electron → less negative electron gain enthalpy → less reactive.
- F is smallest, has highest tendency to attract an extra electron → most reactive.
Exercise 3.29
Write the general outer electronic configuration of s-, p-, d- and f-block elements.
| Block | General outer configuration | Number of valence e⁻ |
|---|---|---|
| s-block | ns¹⁻² | 1 or 2 |
| p-block | ns² np¹⁻⁶ | 3 to 8 |
| d-block | (n−1)d¹⁻¹⁰ ns⁰⁻² | 3 to 12 (variable) |
| f-block | (n−2)f¹⁻¹⁴ (n−1)d⁰⁻¹ ns² | 2 to 16 (variable) |
where n = principal quantum number of outermost shell, increasing across periods.
Exercise 3.30
Assign the position of the element having outer electronic configuration (i) ns² np⁴ for n=3 (ii) (n−1)d² ns² for n=4, and (iii) (n−2) f⁷ (n−1)d¹ ns² for n=6, in the periodic table.
- 3s² 3p⁴ → Period 3, Group 16 (chalcogen, p-block).
- Total e⁻ to this point: 2+2+6+2+4 = 16. Element: Sulfur (S, Z=16).
- 3d² 4s² → Period 4, d-block, Group 4 (group = d count + s count = 2+2 = 4).
- Total e⁻: 2+2+6+2+6+2+2 = 22. Element: Titanium (Ti, Z=22).
- 4f⁷ 5d¹ 6s² → Period 6, f-block (lanthanoid).
- Group: f-block elements are usually placed below period 6 in a separate row; assigned to "Group 3" formally.
- Total e⁻: 2+2+6+2+6+2+10+6+2+10+6+2+7+1+2 = 64. Wait, let me recount: filling order to 4f⁷ 5d¹ 6s² gives Z = 64. Element: Gadolinium (Gd, Z=64).