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Structure of Atom, and the d-Block

Two chapters, nine questions

Every chemistry question flagged on this paper, rebuilt in full. Each one carries what was given, what was asked, the concept behind it, the formula, the steps written out, a table justifying the right option and ruling out each of the others, the fastest route through, and an animated figure wherever seeing the thing settles the answer.

9Questions lost
3Attempted, wrong
6Left blank
39Marks at stake

The shape of this paper

Nine questions, and the balance is heavily one-sided: six were left blank against three attempted. On NEET marking the six blanks were worth 24 marks, and the three wrong answers cost 12 more plus 3 in negatives — 39 marks in total.

A blank rate of two in three is the dominant fact here, and it is worth separating from accuracy. Of the six blanks, four are short: Q139 is a configuration you already know, Q149 is a trend with no arithmetic at all, Q164 is pure ordering, and Q168 is a single division once the electron count is written down. Only Q170 genuinely takes reading time, and even that collapses to one filter.

The three wrong answers, by contrast, were all close. Each had one half right.

Contents

Structure of Atom1 question · 0 wrong · 1 blank
Q139
The d- and f-Block Elements8 questions · 3 wrong · 5 blank
Q149Q153Q154Q164Q166Q167Q168Q170
Red = attempted and missed · Amber = left blank · Green = attempted and correct

Structure of Atom

0 wrong · 1 blank

A single question, left blank — and one where half the answer is free for every element in the 3d series.

Q 139Left blankQuantum numbers · counting electrons

Consider the ground state of chromium atom (Z = 24). How many electrons are with Azimuthal quantum number l = 1 and l = 2 respectively?

  1. 12 and 4
  2. 16 and 4
  3. Correct12 and 5
  4. 16 and 5
Given
  • Chromium, Z = 24, in its ground state.
  • Azimuthal quantum number l = 1 and l = 2.
Asked

The number of electrons with l = 1, and with l = 2.

Concept to use

The azimuthal quantum number l labels the type of subshell, not the shell: l = 0 is s, l = 1 is p, l = 2 is d, l = 3 is f. So “how many electrons have l = 1” means “how many p electrons are there in the whole atom” — across every shell, not just the outermost. The second thing the question is testing is whether you remember that chromium is one of the two configuration exceptions.

Diagram
3d.....l = 24s.3p...l = 13s.2p...l = 12s.1s.Cr (Z = 24): 1s² 2s² 2p⁶ 3s² 3p⁶ 3d⁵ 4s¹l = 1 → 2p⁶ + 3p⁶ = 12l = 2 → 3d⁵ = 5Chromium is one of the two exceptions: 3d⁵4s¹, not 3d⁴4s².
AnimatedChromium's orbital diagram, with the two subshell types counted.
Formula to usel = 0 → s l = 1 → p l = 2 → d l = 3 → f
Baby steps
  1. Write the ground-state configuration. Chromium is an exception: 1s² 2s² 2p⁶ 3s² 3p⁶ 3d⁵ 4s¹, not 3d⁴4s². A half-filled d subshell is extra stable, so one 4s electron moves across.
  2. Check the total: 2 + 2 + 6 + 2 + 6 + 5 + 1 = 24. Correct for Z = 24.
  3. Electrons with l = 1 are all the p electrons: 2p⁶ and 3p⁶, giving 6 + 6 = 12.
  4. Electrons with l = 2 are all the d electrons: 3d⁵ only, giving 5.
  5. So the answer is 12 and 5.
Answer
12 and 5
Why this option and not the others
OptionVerdictReason
12 and 4rule outThe p count is right, but 4 d electrons means the configuration was written as 3d⁴4s² — the chromium exception was missed.
16 and 4rule outWrong on both counts. 16 would require a third full p subshell, and there is no 4p electron in chromium.
12 and 5keep2p⁶ + 3p⁶ = 12 for l = 1, and 3d⁵ = 5 for l = 2, using the correct 3d⁵4s¹ ground state.
16 and 5rule outThe d count is right but the p count is not. There is no 4p occupancy in a ground-state chromium atom.
Shortcut
Half of this question is free and always will be. Every element from Sc to Zn has the same l = 1 count: 12, because 2p and 3p are both full for all of them and 4p is empty. So for any 3d-series atom you only ever need to work out the d count. That instantly eliminates the two options offering 16, and the remaining choice is just 3d⁴ against 3d⁵ — which is the chromium exception you already know.

The d- and f-Block Elements

3 wrong · 5 blank

Eight questions, six of them left blank. Three separate questions turn on the same ladder: what manganese becomes in acidic, neutral and alkaline media. That one ladder is the highest-value thing on this paper.

Q 149Left blankTrends · density

Which of the following pairs of d-block elements have higher density?

  1. Sc and Ti
  2. Cr and Mn
  3. Fe and Co
  4. CorrectNi and Cu
Given
  • Four pairs drawn from the first transition series.
Asked

Which pair has the higher density.

Concept to use

Density is mass packed into volume, and across the 3d series both factors push the same way for a while. Atomic mass climbs steadily from Sc to Zn, while the metallic radius shrinks as the growing nuclear charge pulls the electron cloud in tighter. Heavier atoms in a smaller volume means density rises — reaching a maximum around copper before falling away at zinc, whose filled d shell makes for weaker metallic bonding and a looser packing.

Diagram
Sc3.0Ti4.5V6.1Cr7.2Mn7.2Fe7.9Co8.9Ni8.9Cu8.9Zn7.1Density across the 3d series (g cm⁻³)Density climbs as the atoms get heavier and the metallic radius shrinks,peaks around Ni–Cu, then drops at Zn where the d-shell is full.
AnimatedDensity across the 3d series, with the peak picked out.
Formula to usedensity ∝ atomic mass / atomic volume mass ↑ , radius ↓ → density ↑
Baby steps
  1. Sc 2.99 and Ti 4.51 — the lightest pair by a wide margin, at the start of the series.
  2. Cr 7.19 and Mn 7.21 — middling.
  3. Fe 7.87 and Co 8.90 — high, but iron pulls the pair down.
  4. Ni 8.90 and Cu 8.95 — both near the top of the series.
  5. Ni and Cu is the densest pair.
Answer
Ni and Cu
Why this option and not the others
OptionVerdictReason
Sc and Tirule outThe two least dense metals of the whole series — largest radii, smallest masses.
Cr and Mnrule outAround 7.2 g cm⁻³ each, comfortably below the late-series metals.
Fe and Corule outCobalt is genuinely dense at 8.90, but iron at 7.87 drags the pair below Ni–Cu. This is the closest distractor.
Ni and Cukeep8.90 and 8.95 — the two highest values among the pairs offered, sitting at the density maximum of the series.
Shortcut
You do not need the numbers, only the shape of the trend: density rises across the series and peaks near copper. So the answer is whichever pair sits furthest to the right without reaching zinc. Reading the four options left to right, Ni–Cu is the rightmost pair on offer, and that is enough.
Q 153Attempted · wrongMagnetic moment · matching species
Worth knowing the key is arguableWorking every moment out gives two matched sets, not one. The keyed answer of 2 is right if the question means “how many matching groups”. If it means “how many individual species share a value with another”, the answer would be 4. What is certain is that 3 is not obtainable on either reading — see the full table in the steps below.

In the following species, how many species have same magnetic moment?
(i) Cr²⁺   (ii) Mn³⁺   (iii) Ni³⁺   (iv) Sc²⁺   (v) Zn²⁺   (vi) V³⁺   (vii) Ti⁺

  1. 1
  2. Her answer3
  3. Correct2
  4. 4
Given
  • Seven transition-metal ions.
  • Magnetic moment is to be taken as the spin-only value.
Asked

How many of them share the same magnetic moment.

Concept to use

The spin-only magnetic moment depends on one number and one number only: n, the count of unpaired electrons. So two ions match if and only if their unpaired counts match — which means the whole question reduces to writing out seven d-configurations and counting. Note that d-configurations either side of d⁵ give the same n: d² and d⁸ both give 2, d³ and d⁷ both give 3.

Diagram
nμ (BM)0123450.001.732.833.874.905.92n = 1 → 1.73 BM Cu²⁺ (d⁹)n = 4 → 4.90 BM Cr²⁺ and Mn³⁺ (both d⁴)Spin-only moment μ = √[n(n+2)]The moment depends on the number of UNPAIRED electrons and nothing else.Two ions match only when their unpaired counts match.
AnimatedThe spin-only curve. Equal n means equal moment — always.
Formula to useμ = √[n(n + 2)] BM, n = number of unpaired electrons
Baby steps
  1. Cr²⁺ (Z = 24): d⁴, n = 4, μ = 4.90 BM.
  2. Mn³⁺ (Z = 25): d⁴, n = 4, μ = 4.90 BM. Matches Cr²⁺.
  3. Ni³⁺ (Z = 28): d⁷, n = 3, μ = 3.87 BM.
  4. Sc²⁺ (Z = 21): d¹, n = 1, μ = 1.73 BM.
  5. Zn²⁺ (Z = 30): d¹⁰, n = 0, μ = 0 — diamagnetic.
  6. V³⁺ (Z = 23): d², n = 2, μ = 2.83 BM.
  7. Ti⁺ (Z = 22): d³, n = 3, μ = 3.87 BM. Matches Ni³⁺.
  8. So there are two matching sets: {Cr²⁺, Mn³⁺} at 4.90 BM and {Ni³⁺, Ti⁺} at 3.87 BM. The keyed answer, 2, counts the sets.
Answer
2 (as keyed — two matching sets)
Why this option and not the others
OptionVerdictReason
1rule outThere is more than one match. {Cr²⁺, Mn³⁺} alone would give this, but Ni³⁺ and Ti⁺ also agree.
3rule outNo reading of the question produces 3. There are 2 matching sets, 4 species involved in a match, and 5 distinct moment values among the seven ions — but never 3.
2keepTwo sets of ions share a moment: the d⁴ pair at 4.90 BM and the d³/d⁷ pair at 3.87 BM.
4rule outThis is the count of individual species caught up in a match rather than the count of matching groups. Defensible as a reading of the wording, but not the keyed answer.
Shortcut
Do not compute seven square roots. Just write the seven n values in a row — 4, 4, 3, 1, 0, 2, 3 — and look for repeats. Equal n means equal μ, always, so the moments themselves never need to be evaluated. And remember the mirror rule: d¹ and d⁹ both give n = 1, d² and d⁸ both give 2, d³ and d⁷ both give 3, d⁴ and d⁶ both give 4. Half the configurations you meet have a twin.
Where it went wrong
3 is not reachable by any counting of this list. The most likely route to it is stopping the tally early — spotting the Cr²⁺/Mn³⁺ pair, noticing one more coincidence, and counting species and sets in the same breath. The fix is mechanical: write all seven n values down in a row before looking at the options at all. It takes about forty seconds and it makes the tally visible instead of held in the head.
Q 154Left blankKMnO₄ · reactions in acidic medium

Which of the following reactions of KMnO₄ occurs in acidic medium?

  1. Oxidation of thiosulphate to sulphate
  2. CorrectPrecipitation of sulphur from H₂S
  3. Oxidation of iodide to iodate
  4. Oxidation of manganous salt to MnO₂
Given
  • Potassium permanganate acting as an oxidising agent.
  • Four candidate reactions, one of which occurs in acidic medium.
Asked

Which reaction takes place in acidic medium.

Concept to use

There is a single test that sorts all four, and it does not require remembering the reactions individually. In acidic medium manganese always ends up as Mn²⁺. In neutral or faintly alkaline medium it stops at MnO₂. So look at what happens to the manganese in each option: if the product named is MnO₂ or MnO₄²⁻, the reaction is not the acidic one.

Diagram
KMnO₄ — Mn starts at +7 and lands somewhere different in each mediumACIDICmedium: H⁺Mn²⁺Mn is +2pale pink / colourlessNEUTRALmedium: H₂OMnO₂Mn is +4brown precipitateALKALINEmedium: OH⁻MnO₄²⁻Mn is +6green solutionThe more acidic the medium, the FURTHER Mn falls: +7 → +2.Neutral stops halfway at +4; alkaline barely moves, to +6.
AnimatedFollow the manganese: the medium decides where it stops.
Formula to useacidic: MnO₄⁻ + 8H⁺ + 5e⁻ → Mn²⁺ + 4H₂O    neutral/alkaline: MnO₄⁻ + 2H₂O + 3e⁻ → MnO₂ + 4OH⁻
Baby steps
  1. Thiosulphate → sulphate. The standard reaction is 8MnO₄⁻ + 3S₂O₃²⁻ + H₂O → 8MnO₂ + 6SO₄²⁻ + 2OH⁻. Manganese lands at MnO₂, and hydroxide is produced — this is the neutral/faintly alkaline reaction.
  2. Iodide → iodate. 2MnO₄⁻ + H₂O + I⁻ → 2MnO₂ + 2OH⁻ + IO₃⁻. Again MnO₂ and hydroxide — neutral/alkaline. (In acidic medium iodide goes only as far as I₂, not iodate.)
  3. Mn²⁺ → MnO₂. This is manganous salt being oxidised up to MnO₂, which again happens in neutral or alkaline conditions.
  4. H₂S → S. 2MnO₄⁻ + 5H₂S + 6H⁺ → 2Mn²⁺ + 5S + 8H₂O. Manganese lands at Mn²⁺ and H⁺ is consumed — this is the acidic reaction.
  5. So the answer is the precipitation of sulphur from H₂S.
Answer
Precipitation of sulphur from H₂S
Why this option and not the others
OptionVerdictReason
thiosulphate → sulphaterule outManganese ends as MnO₂ and OH⁻ is released. That is the neutral/faintly alkaline reaction.
sulphur from H₂SkeepH⁺ appears on the left and Mn²⁺ on the right — the signature of the acidic-medium half reaction.
iodide → iodaterule outIodate forms only in neutral/alkaline conditions. In acid, permanganate takes iodide only to I₂.
manganous salt → MnO₂rule outManganese finishes at +4, not +2, so the medium cannot be acidic.
Shortcut
Ignore the sulphur and iodine entirely and follow only the manganese. Acidic finishes at Mn²⁺; neutral finishes at MnO₂; alkaline finishes at MnO₄²⁻. Three of the four options here name MnO₂ as the manganese product either explicitly or through the standard equation, so they eliminate themselves at a glance.
Q 164Left blankKMnO₄ · products in three media

Potassium permanganate acts as an oxidant in neutral, alkaline as well as acidic media. The final product obtained in the three conditions respectively are

  1. CorrectMnO₂, MnO₄⁻² and Mn⁺²
  2. Mn⁺², MnO₂ and MnO₄⁻²
  3. MnO₄⁻², Mn⁺² and MnO₂
  4. MnO₂, Mn⁺² and MnO₄⁻²
Given
  • KMnO₄ as an oxidant, where Mn starts at +7.
  • Three media, named in the order neutral, alkaline, acidic.
Asked

The final manganese product in each of the three media, in that order.

Concept to use

Manganese begins at +7 and falls by a different amount in each medium. The more acidic the conditions, the further it falls. In acid it goes all the way to +2 (Mn²⁺); in neutral conditions it stops halfway at +4 (MnO₂); in alkali it barely moves, dropping just one step to +6 (MnO₄²⁻, manganate). Every option offers the same three products — the whole question is whether you can put them in the order the stem asks for.

Diagram
KMnO₄ — Mn starts at +7 and lands somewhere different in each mediumACIDICmedium: H⁺Mn²⁺Mn is +2pale pink / colourlessNEUTRALmedium: H₂OMnO₂Mn is +4brown precipitateALKALINEmedium: OH⁻MnO₄²⁻Mn is +6green solutionThe more acidic the medium, the FURTHER Mn falls: +7 → +2.Neutral stops halfway at +4; alkaline barely moves, to +6.
AnimatedThe same ladder, now read in the order the question asks.
Formula to useacidic → Mn²⁺ (+2)   neutral → MnO₂ (+4)   alkaline → MnO₄²⁻ (+6)
Baby steps
  1. Learn the ladder once, in oxidation-state order: +7 falls to +6 in alkali, to +4 in neutral, to +2 in acid.
  2. Now read the order the question actually asks for: neutral, alkaline, acidic — not the order you memorised it in.
  3. Neutral → MnO₂.
  4. Alkaline → MnO₄²⁻.
  5. Acidic → Mn²⁺.
  6. So the sequence is MnO₂, MnO₄²⁻, Mn²⁺.
Answer
MnO₂, MnO₄²⁻ and Mn²⁺
Why this option and not the others
OptionVerdictReason
MnO₂, MnO₄²⁻, Mn²⁺keepMatches the stem's order of neutral, alkaline, acidic exactly.
Mn²⁺, MnO₂, MnO₄²⁻rule outThis is the right set of products in the order acidic, neutral, alkaline — the sequence most people memorise, which is precisely why it is offered.
MnO₄²⁻, Mn²⁺, MnO₂rule outAlkaline, acidic, neutral — a third permutation, matching no sensible reading.
MnO₂, Mn²⁺, MnO₄²⁻rule outNeutral is right but alkaline and acidic are swapped. Assigning Mn²⁺ to alkali is the single commonest slip here.
Shortcut
Every option contains the same three species, so this is purely an ordering question — and that means you should underline the order in the stem before looking at the options at all. Then use one anchor to test each option instead of checking all three slots: acidic is always Mn²⁺, so whichever option puts Mn²⁺ in the third position is the answer. One check, not three.
Q 166Attempted · wrongMatch the following · d-configurations

Match the following:
A. Zn²⁺   I. d⁸ configuration
B. Cu²⁺   II. Colourless
C. Ni²⁺   III. μ = 1.73 BM

  1. A-I, B-II, C-III
  2. CorrectA-II, B-III, C-I
  3. Her answerA-II, B-I, C-III
  4. A-I, B-III, C-II
Given
  • Zn²⁺ (Z = 30), Cu²⁺ (Z = 29), Ni²⁺ (Z = 28).
  • Three properties: a d⁸ configuration, colourlessness, and μ = 1.73 BM.
Asked

The correct matching.

Concept to use

Write the three d-configurations first and every property falls out of them. Zn²⁺ is d¹⁰ — completely full, so there are no d-d transitions and it is colourless. Cu²⁺ is d⁹ — exactly one unpaired electron, so μ = √[1(3)] = 1.73 BM. Ni²⁺ is d⁸, which is the configuration named in the list.

Diagram
nμ (BM)0123450.001.732.833.874.905.92n = 1 → 1.73 BM Cu²⁺ (d⁹)n = 4 → 4.90 BM Cr²⁺ and Mn³⁺ (both d⁴)Spin-only moment μ = √[n(n+2)]The moment depends on the number of UNPAIRED electrons and nothing else.Two ions match only when their unpaired counts match.
Animated1.73 BM sits at n = 1, which is d⁹ — copper.
Formula to used-electrons = (Z − 18) − charge    μ = √[n(n+2)]
Baby steps
  1. Zn²⁺: 30 − 18 − 2 = d¹⁰. All paired, no vacant d orbital to jump into → colourless → A–II.
  2. Cu²⁺: 29 − 18 − 2 = d⁹. One unpaired electron, so μ = √3 = 1.73 BM → B–III.
  3. Ni²⁺: 28 − 18 − 2 = d⁸ → C–I.
  4. The matching is A–II, B–III, C–I.
Answer
A-II, B-III, C-I
Why this option and not the others
OptionVerdictReason
A-I, B-II, C-IIIrule outGives d⁸ to Zn²⁺ (it is d¹⁰) and calls Cu²⁺ colourless (copper sulphate solutions are famously blue).
A-II, B-III, C-Ikeepd¹⁰ → colourless, d⁹ → 1.73 BM, d⁸ → Ni²⁺. All three consistent.
A-II, B-I, C-IIIrule outZinc is placed correctly, but copper and nickel are swapped: Cu²⁺ is d⁹ not d⁸, and Ni²⁺ has two unpaired electrons giving 2.83 BM, not 1.73.
A-I, B-III, C-IIrule outThe copper match is right, but Zn²⁺ is not d⁸ and Ni²⁺ is not colourless — nickel salts are green.
Shortcut
1.73 BM is the fingerprint of exactly one unpaired electron. Among the common divalent 3d ions only Cu²⁺ (d⁹) fits, so lock that pairing in first. Then colourless can only be the full shell, Zn²⁺. Two matches made, and the third is forced — you never have to think about nickel at all.
Where it went wrong
Zinc was placed correctly, so the colourless-means-full-shell idea was secure. The error is a straight swap of copper and nickel: Cu²⁺ was given the d⁸ configuration and Ni²⁺ the 1.73 BM. Both halves of that swap are wrong for the same underlying reason — the d-electron count was off by one. Cu²⁺ is d⁹ (29 − 18 − 2) and Ni²⁺ is d⁸ (28 − 18 − 2). Writing the arithmetic out for all three ions before looking at the properties would have caught it; matching questions reward doing all the spadework first and only then reading the options.
Q 167Attempted · wrongRedox · SO₂ with acidified KMnO₄

In the reaction between moist SO₂ and acidified permanganate solution:

  1. CorrectSO₂ is oxidised to SO₄²⁻ ; MnO₄⁻ is reduced to Mn²⁺
  2. SO₂ is reduced to S ; MnO₄⁻ is oxidised to Mn²⁺
  3. Her answerSO₂ is oxidised to SO₃²⁻ ; MnO₄⁻ is reduced to MnO₄⁻²
  4. SO₂ is reduced to H₂S ; MnO₄⁻ is oxidised to MnO₄
Given
  • Moist SO₂, in which sulphur is at +4.
  • Acidified permanganate, in which manganese is at +7.
Asked

What is oxidised, what is reduced, and to what.

Concept to use

Permanganate is a powerful oxidising agent, so it must be the thing that gets reduced, and SO₂ the thing that gets oxidised. Then the medium fixes the destinations: acidified means manganese falls all the way to Mn²⁺, and sulphur, already at +4, rises to its maximum of +6 as sulphate.

Diagram
SO₂ (S is +4)OXIDISED → SO₄²⁻ (+6)MnO₄⁻ (Mn is +7)REDUCED → Mn²⁺ (+2)2 e⁻ per S2MnO₄⁻ + 5SO₂ + 2H₂O → 2Mn²⁺ + 5SO₄²⁻ + 4H⁺The electrons leave sulphur and arrive at manganese. Whatever loses themis oxidised; whatever gains them is reduced. Acidic medium → Mn goes to +2.
AnimatedElectrons leave sulphur and arrive at manganese.
Formula to use2MnO₄⁻ + 5SO₂ + 2H₂O → 2Mn²⁺ + 5SO₄²⁻ + 4H⁺
Baby steps
  1. Assign the starting oxidation numbers: S in SO₂ is +4; Mn in MnO₄⁻ is +7.
  2. Permanganate is the oxidising agent, so it is reduced; SO₂ is therefore the reducing agent and is oxidised.
  3. Sulphur oxidised means it goes up from +4. The available step is to +6, which is SO₄²⁻ (sulphate).
  4. Manganese reduced in acidic medium goes to Mn²⁺ (+2).
  5. Each sulphur gives up 2 electrons and each manganese takes 5, so the balancing numbers are 5 and 2.
Answer
SO₂ is oxidised to SO₄²⁻ and MnO₄⁻ is reduced to Mn²⁺
Why this option and not the others
OptionVerdictReason
SO₄²⁻ / Mn²⁺keepS rises +4 → +6 (a genuine oxidation) and Mn falls +7 → +2 (the acidic-medium product). Electrons balance at 5 : 2.
S / Mn²⁺rule outBackwards. SO₂ going to S would be a reduction of sulphur, and permanganate cannot be oxidised — +7 is already the maximum for manganese.
SO₃²⁻ / MnO₄²⁻rule outSelf-contradictory. Sulphur is +4 in SO₂ and still +4 in SO₃²⁻, so nothing has been oxidised. And MnO₄²⁻ is the alkaline product, not the acidic one.
H₂S / MnO₄rule outTwo errors again: sulphur falling to −2 is a reduction, and manganese cannot be oxidised above +7.
Shortcut
You can destroy two options here without knowing any chemistry beyond one fact: +7 is the highest oxidation state manganese can reach, so any option saying MnO₄⁻ is oxidised is dead on arrival. That kills two of the four. For the remaining pair, check the oxidation number of sulphur in the named product — if it has not changed, the option has contradicted itself.
Where it went wrong
The chosen option claims SO₂ is oxidised to SO₃²⁻, but sulphur is +4 in both. Nothing has been oxidised, so the option refutes itself the moment oxidation numbers are written on it. The second half compounds it: MnO₄²⁻ is manganate, the product in alkaline medium, while the stem says acidified. Both halves would have been caught by the same thirty-second habit — write the oxidation number above every species in the option before deciding. Note the link to Q164 and Q154 on this paper: three questions turned on the same acidic-versus-alkaline manganese product, which makes that one ladder the highest-value thing to fix in this chapter.
Q 168Left blankRedox stoichiometry · dichromate and iodide

How many moles of acidified K₂Cr₂O₇ is required to liberate 6 moles of I₂ from an aqueous solution of I⁻?

  1. Correct2
  2. 1
  3. 0.25
  4. 0.5
Given
  • Acidified K₂Cr₂O₇ reacting with iodide.
  • 6 moles of I₂ are to be liberated.
Asked

The number of moles of dichromate required.

Concept to use

This is electron bookkeeping. Dichromate takes chromium from +6 down to +3, and there are two chromium atoms per ion, so one dichromate accepts 6 electrons. Each iodide gives up 1 electron, and it takes two iodides to make one I₂ molecule, so each I₂ released costs 2 electrons. Match the electrons and the ratio appears.

Diagram
1 mol Cr₂O₇²⁻gains 6 e⁻3 mol I₂from 6 mol I⁻Cr₂O₇²⁻ + 6I⁻ + 14H⁺ → 2Cr³⁺ + 3I₂ + 7H₂O6 mol I₂ needed → 6 ÷ 3 = 2 mol dichromateOne dichromate takes six electrons; each I₂ releases two. Six over three.
AnimatedSix electrons in, two per iodine molecule out.
Formula to useCr₂O₇²⁻ + 6I⁻ + 14H⁺ → 2Cr³⁺ + 3I₂ + 7H₂O
Baby steps
  1. Chromium: +6 → +3 is a drop of 3 per atom, and there are 2 atoms, so 1 mole of dichromate accepts 6 moles of electrons.
  2. Iodine: 2I⁻ → I₂ + 2e⁻, so each mole of I₂ releases 2 moles of electrons.
  3. 6 electrons in, 2 electrons per I₂ → 1 mole dichromate liberates 3 moles of I₂.
  4. For 6 moles of I₂: 6 ÷ 3 = 2 moles of K₂Cr₂O₇.
Answer
2 moles
Why this option and not the others
OptionVerdictReason
2keep1 mole of dichromate gives 3 moles of I₂, so 6 moles of I₂ needs 2 moles of dichromate.
1rule out1 mole would give only 3 moles of I₂, half of what is asked for.
0.25rule outThis inverts the ratio and then halves it. Since one dichromate produces more I₂ than itself, the answer must still be well below 6 but above zero — 0.25 would mean one dichromate produces 24 I₂.
0.5rule outThe 1 : 3 ratio has been read as 1 : 12. A sensible sanity check: 0.5 mole could only give 1.5 moles of I₂.
Shortcut
Skip the balanced equation and count electrons instead: dichromate is a 6-electron oxidant (two Cr, three each) and I₂ is a 2-electron product. 6 ÷ 2 = 3, so one dichromate always liberates three I₂. That single ratio — 1 : 3 — answers every version of this question, whatever number of moles they ask for. Compare with permanganate, which is a 5-electron oxidant in acid and so gives 2.5 I₂ per mole.
Q 170Left blankMatch the following · ores and oxidation states

Match the following:
I. K₂MnO₄   P. Transition element in +6 oxidation state
II. KMnO₄   Q. Oxidising agent in acid medium
III. K₂Cr₂O₇   R. Manufactured from pyrolusite ore
IV. K₂CrO₄   S. Manufactured from chromite ore

  1. I-PQR; II-QR; III-PQ; IV-PR
  2. CorrectI-PQR; II-QR; III-PQS; IV-PQS
  3. I-PQR; II-QR; III-PQS; IV-PQR
  4. I-PQR; II-QR; III-PS; IV-PR
Given
  • Four salts: potassium manganate, permanganate, dichromate and chromate.
  • Four properties: +6 oxidation state, oxidising in acid, from pyrolusite, from chromite.
Asked

The correct set of matches.

Concept to use

Two independent questions are being asked about each salt: what oxidation state is the metal in, and which ore does it come from? The ore half is the easier one and it settles the question on its own. Pyrolusite (MnO₂) is a manganese ore; chromite (FeCr₂O₄) is a chromium ore. A chromium salt can never be matched to R, and a manganese salt can never be matched to S.

Diagram
PYROLUSITE MnO₂fuse with KOH + airK₂MnO₄ (Mn +6)then oxidiseKMnO₄ (Mn +7)CHROMITE FeCr₂O₄fuse with Na₂CO₃ + airchromate CrO₄²⁻ (Cr +6)acidifydichromate Cr₂O₇²⁻ (Cr +6)Mn compounds trace back to pyrolusite; Cr compounds to chromite.Of the four salts, only KMnO₄ has its metal above +6 — Mn sits at +7.
AnimatedTwo ores, two metals — and they never cross over.
Formula to usepyrolusite MnO₂ → Mn salts    chromite FeCr₂O₄ → Cr salts
Baby steps
  1. I. K₂MnO₄ — manganate. Mn is +6 (P ✓), from pyrolusite (R ✓), and acts as an oxidant in acid (Q ✓). So I–PQR.
  2. II. KMnO₄ — permanganate. Mn is +7, so P fails. From pyrolusite (R ✓) and a classic acidic oxidant (Q ✓). So II–QR.
  3. III. K₂Cr₂O₇ — dichromate. Cr is +6 (P ✓), an acidic oxidant (Q ✓), from chromite (S ✓). So III–PQS.
  4. IV. K₂CrO₄ — chromate. Cr is +6 (P ✓), from chromite (S ✓), and in acid it converts to dichromate and oxidises (Q ✓). So IV–PQS.
  5. The answer is I-PQR; II-QR; III-PQS; IV-PQS.
Answer
I-PQR; II-QR; III-PQS; IV-PQS
Why this option and not the others
OptionVerdictReason
III-PQ; IV-PRrule outIV is a chromium salt matched to R, the manganese ore. Impossible. III also drops S, which it needs.
III-PQS; IV-PQSkeepBoth chromium salts correctly take S and neither takes R; only KMnO₄ is denied P, because Mn sits at +7 there.
III-PQS; IV-PQRrule outIII is right, but IV pairs the chromium salt K₂CrO₄ with pyrolusite. Chromate does not come from a manganese ore.
III-PS; IV-PRrule outIV again takes R wrongly, and III drops Q even though dichromate is the standard acidic oxidising agent.
Shortcut
One rule kills three of the four options in a single sweep: never pair a chromium salt with pyrolusite. Scan only the III and IV entries and reject any option containing R there. Options 1, 3 and 4 all fail that test, leaving option 2 without checking a single oxidation state. In a long matching question, look for the property that appears in only one column and use it as a filter before doing anything else.

What the nine have in common

Reading the paper as a whole

One ladder is worth three questions

Q154, Q164 and Q167 all turn on the same fact, and between them they carry 12 marks:

MediumManganese ends atAs
Acidic+2Mn²⁺ — pale pink to colourless
Neutral+4MnO₂ — brown precipitate
Alkaline+6MnO₄²⁻ — green solution

The more acidic the medium, the further manganese falls from its starting +7. Learn the ladder in that order and then read carefully which order the question wants it in — Q164 asks for neutral, alkaline, acidic, which is nobody's memorised order, and that is the whole difficulty of the question.

The three wrong answers were each half right

QWhat was secureWhat slipped
153That the moment depends on unpaired electrons The tally itself. Writing the seven n values in a row would have made the count visible instead of held in the head.
166Zinc: full d shell means colourless The d-count for copper and nickel, off by one each, which swapped the two.
167That permanganate is the oxidising agent The destinations. SO₃²⁻ leaves sulphur at +4, so the option contradicted itself; and MnO₄²⁻ is the alkaline product, not the acidic one.

All three are caught by the same physical act: write the oxidation number, or the d-electron count, above every species in the option before choosing. None of the three needed extra knowledge.

Three filters that turn long questions into short ones

In each case the filter works on the options rather than on the chemistry, which is exactly what makes it fast enough to be worth using under time pressure.

A note on Q153

Worth knowing that the key to this one is arguable. Computing every moment gives two matched sets — Cr²⁺ with Mn³⁺ at 4.90 BM, and Ni³⁺ with Ti⁺ at 3.87 BM. The keyed answer of 2 counts the sets; counting the species involved would give 4. Both are defensible readings of “how many species have same magnetic moment”.

If a question like this appears again, work out all the values first and then pick whichever option matches one of the two honest readings. Arguing with the paper costs time you do not have.