Q.Explain [Co(NH3)6]3+ is an inner orbital complex whereas [Ni(NH3)6]2+ is an outer orbital complex.
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Werner Coordination Theory: The Idea That Changed Inorganic Chemistry
Imagine you're looking at a salt like cobalt(III) chloride. The formula is written as CoClX3, and when you dissolve it in water, you expect to find CoX3+ and ClX− ions. But something strange happens: when you add silver nitrate (which precipitates chloride ions), only some of the chlorine comes out as silver chloride. Not all of it. And the amount that precipitates depends on how you made the compound.
This was the puzzle that faced chemists in the late 1800s. Compounds like CoClX3⋅6NHX3 (orange-yellow) and CoClX3⋅5NHX3 (purple) had the same metal and the same ligands (ammonia), but different colours, different conductivities in solution, and different numbers of chloride ions that could be precipitated. The old ideas of fixed valency couldn't explain it.
Alfred Werner proposed a radical solution in 1893. He said: a metal ion has two kinds of valency.
The Core Intuition
Think of a metal ion like a king in a castle. The king has two types of relationships:
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Primary valency (today: oxidation state) — this is the king's royal authority. It's fixed, non-directional, and satisfied by negative ions. For cobalt(III), this is +3. It's like the king's crown: it doesn't change.
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Secondary valency (today: coordination number) — this is the king's personal bodyguard. The king can have a fixed number of guards (usually 4 or 6) who stand in specific positions around him. These guards can be neutral molecules (like ammonia) or negative ions (like chloride). The key: these guards are directly attached to the metal, forming a stable cluster called the coordination sphere.
The revolutionary idea: the chloride ions that act as bodyguards (inside the coordination sphere) do not behave like free ions. They don't precipitate with silver nitrate. They don't conduct electricity. They are "locked" to the metal.
The Precise Statement
Werner Coordination Theory (1893)
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Every metal atom has two types of valency:
- Primary valency (ionisable): corresponds to the oxidation state. It is satisfied by negative ions. These ions are outside the coordination sphere and behave as free ions in solution.
- Secondary valency (non-ionisable): corresponds to the coordination number. It is satisfied by neutral molecules or negative ions directly bonded to the metal. These are inside the coordination sphere and do not dissociate.
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The secondary valencies are directional — they point to fixed positions in space around the metal, giving the complex a definite geometry (e.g., octahedral for coordination number 6, square planar for 4).
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The primary valency is non-directional — it is just a number, not a spatial arrangement.
How It Explains the Puzzle
Take the compound CoClX3⋅6NHX3 (orange-yellow). Werner said:
- Cobalt has primary valency +3 (needs three negative charges to satisfy it).
- Cobalt has secondary valency 6 (can hold six ligands around it).
- The six ammonia molecules satisfy all six secondary valencies. So the chloride ions cannot be inside the coordination sphere — they must be outside, as free ions.
- Structure: [Co(NHX3)X6]ClX3. All three chlorides precipitate with AgNOX3.
Now take CoClX3⋅5NHX3 (purple):
- Again, primary valency +3, secondary valency 6.
- Five ammonia molecules satisfy five secondary valencies. One chloride ion must fill the sixth spot — it becomes a ligand inside the sphere.
- The other two chlorides are outside as free ions.
- Structure: [Co(NHX3)X5Cl]ClX2. Only two chlorides precipitate.
The number of free ions in solution determines the conductivity and the number of precipitable chlorides. Werner's theory predicted exactly these numbers — and experiments confirmed them.
The Geometry Insight …
Why this formula?
Werner Coordination Theory: Why the Key Formulas Hold
Werner Coordination Theory (1893) revolutionized inorganic chemistry by explaining how metal ions bind ligands. Let's build the reasoning from first principles — not just memorize formulas.
1. The Core Observation: Primary vs. Secondary Valence
Werner noticed that metal compounds had two types of bonding capacity:
- Primary valence (now oxidation state): Satisfies the metal's charge — ionic in nature.
- Secondary valence (now coordination number): Determines how many ligands attach — directional, spatial in nature.
Why this distinction?
Consider CoClX3 ⋅6NHX3 (one of Werner's classic compounds).
- The compound is electrically neutral overall.
- Adding AgNOX3 precipitates all 3 Cl⁻ as AgCl — meaning all chlorides are free ions.
- Therefore, the NHX3 molecules must be directly bonded to Co, not the chlorides.
This forces the idea: Co has a fixed capacity for direct ligand attachment (secondary valence = 6 here), separate from its charge balance (primary valence = +3).
2. The Key Formula: Coordination Number = Number of Ligands Attached
Formula:
Coordination number=number of donor atoms directly bonded to the metal
Why this holds:
- Werner's experiments showed that only a fixed number of ligands could be replaced without breaking the compound's identity.
- For CoClX3 ⋅6NHX3, adding acid doesn't remove NHX3 easily — they are coordinated.
- The maximum number of such tightly bound ligands is the coordination number — a property of the metal ion, not the counterions.
Derivation from data:
If you have [Co(NHX3)X6]ClX3, conductivity measurements show 4 ions in solution ([Co(NHX3)X6]X3+ + 3 Cl⁻).
If you had [Co(NHX3)X5Cl]ClX2, conductivity shows 3 ions.
The number of chlorides inside the coordination sphere (non-precipitable) plus those outside must sum to the total chlorides. This gives the coordination number directly.
3. The Geometry Formula: Coordination Number Determines Shape
Werner proposed that secondary valences are directed in space — leading to specific geometries.
| Coordination Number | Geometry | Why? |
|---|---|---|
| 2 | Linear | Minimizes repulsion between 2 ligands |
| 4 | Tetrahedral or Square planar | 4 points in space — two arrangements possible |
| 6 | Octahedral | 6 ligands at 90° angles — most symmetric |
Why octahedral for 6?
- 6 ligands around a central atom must be placed to maximize separation.
- The octahedron (6 vertices, all equidistant from center, 90° between adjacent bonds) is the only regular polyhedron with 6 vertices.
- This explains why [Co(NHX3)X6]X3+ is octahedral — no other arrangement gives equal bond angles and distances.
4. The Isomer Counting Formula: Why 2n or n! Appears
Werner used isomer counts to confirm geometry. For an octahedral complex [MaX2bX2cX2]:
Number of geometrical isomers = 5 (not 6, not 4)
Why this formula?
- Place the two 'a' ligands: they can be cis (90°) or trans (180°).
- For each, place 'b' and 'c' in remaining positions — but symmetry reduces duplicates. …
The key idea is Valence Bond Theory (VBT): whether a complex is inner (low-spin, d2sp3 hybridisation) or outer (high-spin, sp3d2 hybridisation) depends on the metal ion's d-electron count and the ligand's field strength.
Reasoning:
- [Co(NH3)6]3+: Co3+ has a 3d6 configuration. NH3 is a strong field ligand, causing large crystal field splitting. The six d-electrons pair up in the three t2g orbitals (t2g6eg0), leaving two d-orbitals empty. This allows d2sp3 hybridisation (inner orbital complex). …
The difference arises from the electronic configurations of Co³⁺ (d⁶) and Ni²⁺ (d⁸) in an octahedral field. Co³⁺ uses d²sp³ hybridisation (inner d-orbitals) giving a diamagnetic inner orbital complex, while Ni²⁺ uses sp³d² hybridisation (outer d-orbitals) giving a paramagnetic outer orbital complex.
The Core Idea: Valence Bond Theory and Hybridisation
Valence Bond Theory classifies complexes as inner orbital (or low-spin) and outer orbital (or high-spin) based on whether the metal uses its inner (n−1)d orbitals or outer nd orbitals for bonding. The deciding factor is the crystal field splitting energy (Δo) relative to the pairing energy (P). When Δo>P, electrons pair up in the inner d-orbitals, freeing an inner d-orbital for d2sp3 hybridisation — this is an inner orbital complex. When Δo<P, electrons remain unpaired in the outer d-orbitals, forcing the use of sp3d2 hybridisation — this is an outer orbital complex.
The ligand here is ammonia (NH3), a moderately strong field ligand. But the metal ion's charge and size also affect Δo. Let's see how this plays out for Co³⁺ and Ni²⁺.
Step-by-Step Analysis
1. Determine the oxidation state and d-electron count
For [Co(NH3)6]3+:
- Cobalt is in +3 oxidation state. Atomic number of Co = 27.
- Co³⁺: [Ar]3d6 (remove 4s² and one 3d electron).
- So Co³⁺ has a d⁶ configuration.
For [Ni(NH3)6]2+:
- Nickel is in +2 oxidation state. Atomic number of Ni = 28.
- Ni²⁺: [Ar]3d8 (remove 4s²).
- So Ni²⁺ has a d⁸ configuration.
2. Consider the ligand field and possible hybridisations
Ammonia pairs the d⁶ electrons of the highly charged Co³⁺ ion (large Δo). For Ni²⁺ (d⁸), however, no ligand field can produce an inner orbital complex: even complete pairing of the eight 3d electrons frees only ONE 3d orbital, while d2sp3 hybridisation needs TWO.
For Co³⁺ (d⁶):
- In an octahedral field, the 3d orbitals split into t2g (lower energy) and eg (higher energy).
- With strong field NH₃, Δo is large. All six electrons pair up in the three t2g orbitals: t2g6eg0.
- This leaves two empty 3d orbitals (the eg set). Both of these hybridise with one 4s and three 4p orbitals to form six d2sp3 hybrid orbitals.
- Since the bonding uses inner (n-1)d orbitals, it is an inner orbital complex. All electrons are paired → diamagnetic.
For Ni²⁺ (d⁸):
- In an octahedral field, d⁸ always has two unpaired electrons in the eg set regardless of field strength (because pairing would require promoting an electron to a higher energy level, which is unfavourable).
- The configuration is t2g6eg2 — two unpaired electrons.
- All five 3d orbitals are occupied (three t2g full, two eg half-filled). No empty 3d orbital is available for hybridisation.
- Therefore, the metal must use its outer 4d orbitals (specifically 4d, 4s, and 4p) to form six sp3d2 hybrid orbitals.
- Since bonding uses outer (n)d orbitals, it is an outer orbital complex. Two unpaired electrons → paramagnetic. …
Method: Valence Bond Theory (VBT) Analysis of Coordination Complexes
This method uses hybridisation and magnetic behaviour to classify complexes as inner or outer orbital.
Step 1 — Determine the oxidation state and electronic configuration of the central metal ion
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For [Co(NH3)6]3+
Co atomic number = 27
Co in +3 state: Co3+ = [Ar]3d6
-
For [Ni(NH3)6]2+
Ni atomic number = 28
Ni in +2 state: Ni2+ = [Ar]3d8
Step 2 — Identify the ligand field strength
- NH3 is a strong field ligand (causes pairing of electrons in the d-orbitals).
Step 3 — Decide pairing and hybridisation
For [Co(NH3)6]3+:
- 3d6 with strong field NH3 → all 6 electrons pair up in the three t2g orbitals.
- This leaves two empty 3d orbitals available.
- Hybridisation: d2sp3 (inner orbital hybridisation).
- Result: Diamagnetic (no unpaired electrons).
✓ Inner orbital complex — uses (n−1)d orbitals for hybridisation.
For [Ni(NH3)6]2+:
- 3d8: all five 3d orbitals are occupied (three doubly, two singly) — even pairing the two unpaired electrons could not empty the TWO 3d orbitals that d2sp3 needs.
- So hybridisation uses outer 4d orbitals: sp3d2 (outer orbital hybridisation). …
Here are the most common mistakes students make when explaining why [Co(NH3)6]3+ is an inner orbital complex and [Ni(NH3)6]2+ is an outer orbital complex, along with how to avoid each.
Mistake 1: Confusing the oxidation state and electron count
The error: Students often forget to first determine the oxidation state of the central metal ion. They might directly use the ground state configuration of the neutral atom (Co or Ni) instead of the ion.
How to avoid:
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Always start with the oxidation state.
For [Co(NH3)6]3+:
- NH3 is neutral, so the charge comes from Co.
- Co is in +3 state.
- Co (atomic number 27): [Ar]3d74s2
- Co3+: remove 3 electrons → [Ar]3d6
For [Ni(NH3)6]2+:
- Ni (atomic number 28): [Ar]3d84s2
- Ni2+: remove 2 electrons → [Ar]3d8
Key takeaway: Write the d-electron count for the ion, not the atom.
Mistake 2: Forgetting that NH3 is a strong field ligand
The error: Some students treat NH3 as a weak field ligand (like H2O) and incorrectly predict high-spin configurations.
How to avoid:
- Memorise the spectrochemical series — NH3 sits on the stronger side of the series (well above H2O, though en, NO2−, CN− and CO are stronger still).
- Strong field ligands cause large crystal field splitting (Δo), favouring low-spin configurations for d4 to d7 ions.
For Co3+ (d6):
- Strong field → low-spin → t2g6eg0
- All 6 electrons paired → no unpaired electrons → inner orbital complex (uses (n−1)d orbitals).
For Ni2+ (d8):
- d8 always has 2 unpaired electrons regardless of field strength (Hund’s rule).
- Even with NH3, it remains t2g6eg2 → outer orbital complex (uses ns, np and nd orbitals — sp3d2).
Mistake 3: Mixing up “inner” vs “outer” orbital terminology
The error: Students think “inner orbital” means the complex is low-spin, and “outer orbital” means high-spin — but that’s only true for d4 to d7 ions. For d8, d9, d10, the spin state is fixed.
How to avoid:
- Inner orbital complex: Uses (n−1)d orbitals for hybridisation (e.g., d2sp3).
- Outer orbital complex: Uses ns, np, and nd orbitals (e.g., sp3d2).
- Rule of thumb:
- If the complex has no unpaired electrons (or fewer than maximum), it’s likely inner orbital.
- If it has the maximum possible unpaired electrons, it’s outer orbital.
For Co3+:
- d6, low-spin → 0 unpaired → d2sp3 hybridisation → inner orbital.
For Ni2+:
- d8 → 2 unpaired electrons (always) → sp3d2 hybridisation → outer orbital.
Mistake 4: Not explaining the hybridisation clearly
The error: Students state the hybridisation without showing how the orbitals are reorganised.
How to avoid:
- Show the orbital diagram step-by-step.
For [Co(NH3)6]3+:
- Co3+: 3d6
- Under strong field, electrons pair in t2g → two 3d orbitals become empty. …
Showing the 12 most recent of 17 on this concept.
- KCET 2026Set D31 markMCQQ.How many ions per molecule are produced from the complex [Co(NH3)6]Cl3 in solution? (A) 6 (B) 4 (C) 3 (D) 2
›Reveal solutionSolution
The number of ions per formula unit equals the complex ion plus the free counter-ions written outside the coordination sphere.
Step 1 — Identify the coordination sphere
In [Co(NH3)6]Cl3, all six NH3 ligands are bound directly to cobalt inside the square brackets, so they do not ionize; only what is written outside the brackets ionizes in solution.
Step 2 — Write the dissociation …
- KCET 2025Set D-41 markMCQQ.A ligand which has two different donor atoms and either of the two ligates with the central metal atom/ion in the complex is called (A) Chelate ligand (B) Unidentate ligand (C) Polydentate ligand (D) Ambidentate ligand
›Reveal solutionSolution
The defining phrase is "two different donor atoms, either of the two ligates" — one binding site used at a time, chosen from two candidates — which is exactly the definition of an ambidentate ligand.
Step 1 — Parse the definition given in the stem
The stem specifies three things:
- the ligand has two different donor atoms;
- either one of them can bond to the metal;
- (implicitly) only one at a time actually coordinates — hence "either", not "both".
So the ligand occupies only one coordination site, but it has a choice of which of its own atoms to use.
Step 2 — Run through the four terms and see which fits
(A) Chelate ligand — a di- or polydentate ligand that grips the metal through two or more donor atoms simultaneously, forming a ring (the "claw"). E.g. ethylenediamine (en) binds through both N atoms at once; oxalate through both O's. ✗ — this binds through both, not either.
(B) Unidentate (monodentate) ligand — donates through exactly one donor atom, and it has only that one available. E.g. NHX3 (N only), ClX−, HX2O. ✗ — it uses one site, yes, but there is no choice of two different donor atoms. That is precisely the feature the stem adds.
(C) Polydentate ligand — binds through several donor atoms at once. E.g. EDTA⁴⁻ is hexadentate (2 N + 4 O, all six coordinating). ✗ — again, all sites used together.
(D) Ambidentate ligand — from Latin ambi = "both / either of two". It has two different donor atoms but coordinates through only one of them at a time. ✓ This is exactly the stem.
Step 3 — The standard examples (worth knowing)
Ligand Donor used Name of complex prefix Example NOX2X− N nitro (−NOX2) [Co(NHX3)X5(NOX2)]2+ NOX2X− O nitrito (−ONO) [Co(NHX3)X5(ONO)]2+ - KCET 2025Set D-41 markMCQQ.In the complex ion [Fe(C2O4)3]3−, the co-ordination number of Fe is (A) 4 (B) 5 (C) 6 (D) 3
›Reveal solutionSolution
Coordination number counts donor atoms, not ligand molecules — oxalate is bidentate, so three oxalates supply 3×2=6 donor atoms.
Step 1 — The concept: coordination number ≠ number of ligands
The coordination number (CN) of the central metal is the number of donor atoms (i.e. the number of sigma bonds / ligand bonds) directly attached to it — not the number of ligand molecules or ions.
These two counts agree only when every ligand is unidentate. Whenever a chelating ligand is present, you must multiply by its denticity:
CN=∑ligands(number of that ligand)×(its denticity)
Step 2 — What is the denticity of oxalate?
The oxalate ion, CX2OX4X2− (abbreviated ox), is the conjugate base of oxalic acid:
X−X22−OX2C−COX2X−
It carries two carboxylate groups, and one oxygen from each group coordinates to the metal. Both donor atoms bind simultaneously, wrapping around the metal to close a stable five-membered chelate ring (M–O–C–C–O).
∴ oxalate is BIDENTATE(denticity=2)
This is why oxalate is a chelating ligand and why [Fe(CX2OX4)X3]3− is unusually stable (the chelate effect).
Step 3 — Count the donor atoms
The complex is [Fe(CX2OX4)X3]3− — three oxalate ligands, each bidentate:
CN=3ligands×2liganddonor atoms=6
All six donor atoms are oxygens, arranged octahedrally about the iron.
Step 4 — The trap …
- COMEDK 2025Set 2025-M1 markMCQQ.An aqueous solution of CrCl3.6H2O (Molar mass =266.5 g/mol ) containing 2.665 g of the solute after processing, when treated with excess of AgNO3 gave 2.87 g of AgCl (Molar mass of AgCl=143.5 g/mol ) Choose the correct formula of the compound which give these results. (A) [Cr(H2O)4Cl2]Cl⋅2H2O (B) [Cr(H2O)3Cl3]⋅3H2O (C) [Cr(H2O)5Cl]Cl2⋅H2O (D) [Cr(H2O)6]Cl3
›Reveal solutionSolution
The AgCl formed shows 2 free chloride ions per formula unit, which fixes the structure as [Cr(H2O)5Cl]Cl2⋅H2O — option (C).
Concept
In a coordination compound, chloride ions bound to the metal (written inside the square brackets) stay put, while chloride ions outside the coordination sphere are free ions that precipitate with AgNO3 as AgCl. So counting the AgCl tells us the number of ionizable chlorides.
Solution
- Moles of complex: 266.52.665=0.0100mol.
- Moles of AgCl: 143.52.87=0.0200mol.
- Free chlorides per formula unit: 0.01000.0200=2.
- Test the options for the number of chlorides outside the bracket:
- (A) [Cr(H2O)4Cl2]Cl⋅2H2O: 1 free Cl.
- (B) [Cr(H2O)3Cl3]⋅3H2O: 0 free Cl.
- (C) [Cr(H2O)5Cl]Cl2⋅H2O: 2 free Cl. …
- KCET 2024Set B-21 markMCQQ.On treating 100 mL of 0.1 M aqueous solution of the complex CrCl3.6H2O with excess of AgNO3, 2.86 g of AgCl was obtained. The complex is : (A) [Cr(H2O)3Cl3].3H2O (B) [Cr(H2O)4Cl2]Cl.2H2O (C) [Cr(H2O)5Cl]Cl2.H2O (D) [Cr(H2O)6]Cl3
›Reveal solutionSolution
The number of moles of AgCl precipitated tells us how many chloride ions are free (outside the coordination sphere). From the given data, 0.02 mol of AgCl forms from 0.01 mol of complex, meaning 2 Cl⁻ are free — so the complex has one Cl inside and two outside. The correct option is (C).
The key idea is that only chloride ions that are outside the coordination sphere — the counter-ions — will react with AgNO₃ to give AgCl. Chloride ions that are coordinated to the metal (inside the square brackets) do not precipitate. So the mass of AgCl tells us exactly how many free Cl⁻ ions each formula unit releases.
-
Find moles of AgCl formed.
Molar mass of AgCl = 108 + 35.5 = 143.5 g/mol.
Moles of AgCl = 143.52.86≈0.02 mol.
-
Find moles of the complex taken.
Volume = 100 mL = 0.1 L, concentration = 0.1 M.
Moles of complex = 0.1×0.1=0.01 mol.
-
Find the ratio of free Cl⁻ per complex molecule.
moles complexmoles AgCl=0.010.02=2.
So each formula unit of the complex gives 2 chloride ions that precipitate with Ag⁺.
-
Interpret the ratio.
The complex has the formula CrCl3⋅6H2O, so there are 3 Cl atoms total. If 2 are free (outside the coordination sphere), then only 1 Cl is inside the coordination sphere (bonded to Cr). The water molecules also distribute between inside and outside.
-
Match with the options.
- (A) [Cr(H2O)3Cl3]⋅3H2O — all 3 Cl are inside → 0 free Cl⁻. Wrong. …
-
- COMEDK 2024Set 2024-A1 markMCQQ.The molar conductivity of the complex CoCl3⋅4NH3⋅2H2O is found to be the same as that of a 1:3 electrolyte. The structural formula of the compound is : (A) [Co(NH3)4(H2O)2]Cl3 (B) [Co(NH3)4Cl(H2O)]Cl2H2O (C) [Co(NH3)4(H2O)Cl2]ClH2O (D) [Co(NH3)4(H2O)2Cl]Cl2
›Reveal solutionSolution
Behaving as a 1:3 electrolyte (4 ions) requires all three Cl− outside the coordination sphere: [Co(NH3)4(H2O)2]Cl3.
A 1:3 electrolyte dissociates into 4 ions total: one complex cation and three anions. So all three chloride ions must be outside the coordination sphere (ionisable), and both water molecules coordinate to cobalt. The complex cation is
[Co(NH3)4(H2O)2]3+
(giving Co its +3 oxidation state, coordination number 6), balanced by 3Cl−: …
- COMEDK 2024Set 2024-M1 markMCQQ.A Coordination compound is represented by the formula [CoBr3(en)x]. This compound required one mole of AgNO3 to form a pale yellow precipitate of AgBr. What is the value of x in the compound? (A) 2 (B) 1 (C) 4 (D) 3
›Reveal solutionSolution
The key is that one mole of AgNO₃ precipitates one mole of free Br⁻ ions; the complex has only one ionic bromide, so the coordination sphere must contain the other two bromides and the ethylenediamine (en) ligands, giving x = 2.
Concept & Intuition
Coordination compounds can have some ligands tightly bound inside the coordination sphere (non‑ionic) and others outside as counter‑ions (ionic). When you add AgNO₃, only the free, ionic bromide ions (Br⁻) react to form pale yellow AgBr precipitate. The problem says exactly one mole of AgNO₃ is needed per mole of the compound, meaning only one Br⁻ is ionic. The rest must be inside the coordination sphere. Since the formula is written as [CoBr3(en)x], the square brackets indicate the coordination sphere. The total number of bromides is 3, but only one is outside the brackets (ionic), so the other two must be inside. That forces the charge balance and tells us how many neutral en ligands are needed.
Step‑by‑step reasoning
-
Identify the ionic bromide count
One mole of AgNO₃ gives one mole of AgBr precipitate. This means the compound releases exactly one mole of free Br⁻ ions per mole of complex. So there is one ionic bromide outside the coordination sphere.
-
Determine the composition of the coordination sphere
The formula is written as [CoBr3(en)x]. The square brackets enclose the coordination sphere. Since there are three bromine atoms total and only one is ionic, the other two bromine atoms must be inside the brackets as ligands. So the coordination sphere contains Co, two Br ligands, and x molecules of ethylenediamine (en).
-
Balance the charge
Cobalt in this complex is typically in the +3 oxidation state (common for Co(III) ammine/amine complexes). Each bromide ligand inside the sphere carries a –1 charge, so two bromides contribute –2. The en ligand is neutral. Therefore the charge on the complex ion is:
Charge=(+3)+2(−1)=+1
So the complex ion is [CoBr2(en)x]+. To balance this, there must be one counter‑ion — and that counter‑ion is the one ionic Br⁻ we already identified. This matches perfectly: the compound is [CoBr2(en)x]Br.
- Determine x from coordination number …
-
- KCET 2023Set D-21 markMCQQ.The number of protons, neutrons and electrons in the ion 1632S2− respectively are (A) 16,18,16 (B) 16,16,18 (C) 18,16,16 (D) 16,16,16
›Reveal solutionSolution
The atomic number gives protons and electrons in a neutral atom; the mass number gives neutrons; the charge tells how many extra electrons are present. For 1632S2−, the counts are 16 protons, 16 neutrons, and 18 electrons — option (B).
The key is to read the notation 1632S2− piece by piece. The subscript (16) is the atomic number Z — that’s the number of protons. In any atom or ion, the number of protons never changes; it defines the element. So protons = 16.
The superscript (32) is the mass number A, which is the sum of protons and neutrons. Neutrons = A−Z=32−16=16.
Now the charge: 2− means the ion has gained two extra electrons compared to the neutral atom. A neutral sulfur atom has as many electrons as protons — 16. With a 2− charge, it has 16+2=18 electrons.
Let’s check each option:
- Protons: always 16. That eliminates (A) and (C) immediately, since they show 18 or 16 but in the wrong order.
- Neutrons: 16. Both remaining options (B) and (D) have 16 neutrons — so far so good. …
- COMEDK 2023Set 2023-E1 markMCQQ.Match the Coordination compounds given in Column I with their characteristic features listed in Column II. .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px; overflow:hidden;padding:10px 5px;word-break:normal;} .tg th{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px; font-weight:normal;overflow:hidden;padding:10px 5px;word-break:normal;} .tg .tg-c3ow{border-color:inherit;text-align:center;vertical-align:top} .tg .tg-7btt{border-color:inherit;font-weight:bold;text-align:center;vertical-align:top} .tg .tg-0pky{border-color:inherit;text-align:left;vertical-align:top} S.No. Coordination compounds S.No. Characteristic features W [Co(NH3)5Cl]Cl3 P Oxidation state =+3 Configuration =d5μ=5.92BM X K4[Mn(CN)6 Q Oxidation state =+3 Configuration =d3μ=3.87BM Y [CrCl3(py)3] R Oxidation state =+3 Configuration =d6μ=0BM Z Cs[FeCl4] S Oxidation state =+2 Configuration =d5μ=1.732BM (A) W=SX=RY=QZ=P (B) W=SX=PY=QZ=R (C) W=RX=SY=PZ=Q (D) W=RX=SY=QZ=P
›Reveal solutionSolution
[!TLDR]
Work out oxidation state, d-count and spin state for each complex; the spin-only moments identify W=R (d⁶, μ=0), X=S (d⁵ LS, μ=1.73), Y=Q (d³, μ=3.87), Z=P (d⁵ HS, μ=5.92).
Concept
Spin-only magnetic moment μ=n(n+2) BM, where n is the number of unpaired electrons. Strong-field ligands (CN⁻, NH₃) tend to pair electrons (low spin); weak-field ligands (Cl⁻) keep them unpaired (high spin) — core CBSE/NCERT coordination-chemistry ideas.
Solution
W = [Co(NH₃)₅Cl]³⁺ type, Co(III): d6. With ammine ligands it is low spin, all electrons paired, n=0, μ=0 → feature R (d6, μ=0).
X = K₄[Mn(CN)₆], Mn(II): d5. CN⁻ is strong field → low spin, one unpaired electron, n=1, μ=1⋅3=1.73 BM → feature S (OS +2, d5, μ=1.732). …
- KCET 2022Set B-31 markMCQQ.The complex hexamine platinum (IV) chloride will give ______ number of ions on ionization. (A) 3 (B) 2 (C) 5 (D) 4
›Reveal solutionSolution
The key is to determine the correct formula of the complex and then count the ions produced when it dissociates in solution. Hexamine platinum(IV) chloride gives 5 ions on ionization.
The question asks about "complex hexamine platinum (IV) chloride". The name tells you the coordination compound directly. "Hexamine" means six ammonia (NH3) ligands are attached to the central metal. "Platinum (IV)" tells you the oxidation state of platinum is +4. "Chloride" at the end indicates that chlorine is present as a counter-ion (outside the coordination sphere), not as a ligand.
So the coordination sphere is [Pt(NH3)6]4+. To balance the +4 charge, you need four chloride ions, each with a -1 charge. The full formula is therefore [Pt(NH3)6]Cl4.
Now, when this compound is dissolved in water (ionization), the complex ion and the chloride ions separate. The coordination sphere itself does not break apart — the NH3 ligands remain firmly attached to platinum. So the ionization is:
[Pt(NH3)6]Cl4→[Pt(NH3)6]4++4Cl−
Count the ions produced: one complex cation and four chloride anions. That gives a total of 5 ions. …
- KCET 2021Set B-21 markMCQQ.Homoleptic complexes among the following are (A) K3[Al(C2O4)3], (B) [CoCl2(en)2]+ (C) K2[Zn(OH)4] (A) A only (B) (A) and (B) only (C) (A) and (C) only (D) (C) only
›Reveal solutionSolution
Homoleptic = one ligand type only; the oxalato-aluminate and the tetrahydroxozincate qualify, the mixed chloro/en cobalt complex does not.
Step 1 — The definition.
In a homoleptic complex the central metal ion is bonded to only one type of donor (ligand). If two or more different ligands are attached, the complex is heteroleptic.
Step 2 — Examine each complex.
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K3[Al(C2O4)3] — the coordination entity is [Al(C2O4)3]3−. The only ligand present is the oxalate ion C2O42− (three of them, each bidentate, giving CN = 6). One ligand type ⇒ homoleptic.
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[CoCl2(en)2]+ — here cobalt is bonded to two different ligands: two chloride ions Cl− and two ethylenediamine molecules (en). Two ligand types ⇒ heteroleptic. …
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- COMEDK 2021Set 20211 markMCQQ.Which type of ligand is EDTA? (A) Monodentate (B) Hexadentate (C) Bidentate (D) Tridentate
›Reveal solutionSolution
Total = 6 donor atoms, so EDTA is a HEXADENTATE chelating ligand; it wraps around an octahedral metal ion occupying all six coordination sites (e.g. [Ca(EDTA)]2-).
Concept: Denticity of a ligand = number of donor atoms it uses to bind the metal.
EDTA (ethylenediaminetetraacetate, EDTA4-) has:
- 2 nitrogen donor atoms (the two amine N of the ethylenediamine backbone)
- 4 oxygen donor atoms (one from each of the four carboxylate arms) …
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