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Classification of Elements and Periodicity

Chemistry · Class 11NCERT pp. 74–952 sets × 25 questionsFree

Key facts and formulas for Classification of Elements and Periodicity, three worked sample questions, and two full practice sets. Every question has a hint, a reason for every option and a step-by-step solution, with a calculator or animation where one helps. English and Hinglish.

Formula sheet for this chapter

IdeaRule or fact
Dobereiner triadMiddle weight = (first + third) / 2
Group valence (Mendeleev)Higher oxide valence = group number; hydride valence = 8 − group number
Orbitals per subshells = 1, p = 3, d = 5, f = 7, g = 9; elements in a period = 2 × orbitals filled
IUPAC digit roots0 nil, 1 un, 2 bi, 3 tri, 4 quad, 5 pent, 6 hex, 7 sept, 8 oct, 9 enn; add ium
Slater's rulesZeff = Z − shielding; same group 0.35, shell n−1 0.85, deeper shells 1.00
Isoelectronic ionsElectrons = Z − charge for cations, Z + charge for anions; more protons → smaller radius
Ionization enthalpy dipsB < Be and O < N; successive IE jumps after valence electrons are removed
Mulliken electronegativityEN = (IE + Ae) / 2
Polarising powerCharge / radius: higher charge and smaller size → larger value
Bond lengthSingle covalent bond length = r₁ + r₂

Three sample questions

Q1. Lithium and potassium have atomic weights 6.9 and 39.1. According to Dobereiner's triads, the atomic weight of sodium should be close to
  1. 46.0
  2. 23.0
  3. 16.1
  4. 32.2
Hint and solution

Hint: In a triad the middle element has an atomic weight equal to the average of the other two.

  1. Triad: middle = (first + third) / 2 — Dobereiner said that in a triad the middle element has a weight equal to the mean of the other two.
  2. sum = 6.9 + 39.1 = 46.0 — Add the atomic weights of lithium and potassium.
  3. mean = 46.0 / 2 = 23.0 — Divide the sum by 2 to get the middle element's weight.
  4. Na ≈ 23.0 — The expected weight of sodium is 23.0, which is also its real value. Option B.
Answer: B. The middle element is the mean of the other two: (6.9 + 39.1) / 2 = 23.0. Actual sodium is 23.
Q2. The correct chronological order of the early classification attempts is
  1. Newlands, Dobereiner, Mendeleev, Chancourtois
  2. Chancourtois, Dobereiner, Mendeleev, Newlands
  3. Dobereiner, Newlands, Chancourtois, Mendeleev
  4. Dobereiner, Chancourtois, Newlands, Mendeleev
Hint and solution

Hint: Recall the years: triads 1829, telluric screw 1862, law of octaves 1865, periodic table 1869.

  1. Dobereiner 1829 (triads) — The earliest attempt grouped elements in threes.
  2. Chancourtois 1862 (telluric screw) — He arranged elements on a cylinder in order of atomic weight.
  3. Newlands 1865 (octaves) — Every eighth element repeated properties, like musical notes.
  4. Mendeleev 1869 comes last — So the order is Dobereiner, Chancourtois, Newlands, Mendeleev. Option D.
Answer: D. Triads (1829), cylinder (1862), octaves (1865), then Meyer and Mendeleev (1869).
Q3. In Mendeleev's table an element of Group VI forms a higher oxide and a gaseous hydride of formulae
  1. RO₃ and RH₂
  2. R₂O₅ and RH₃
  3. RO₂ and RH₄
  4. R₂O₇ and RH
Hint and solution

Hint: Group number gives the oxide's oxygen count as RO with the group number over 2. Hydride valence is 8 minus the group number.

  1. Group VI → highest valence 6 towards oxygen — The higher oxide uses the group number as the valence, so R shows valence 6 with oxygen.
  2. Oxide: valence 6 / O valence 2 → RO₃ — Six units of positive valence need three oxygen atoms, giving RO₃.
  3. Hydride valence = 8 − 6 = 2 — Towards hydrogen the valence is 8 minus the group number, so 2.
  4. Hydride = RH₂ — So the pair is RO₃ and RH₂. Option A.
Answer: A. Group VI oxide is RO₃. Valence to hydrogen is 8 − 6 = 2, so the hydride is RH₂.

How to use this chapter

Read the NCERT pages first, then attempt Set 1 without the hints. Note every wrong answer in a mistake list, read the reason for each option, and retry Set 2 two days later. A topic is solid when you can say why each wrong option is wrong.

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