Werner's theory — explain primary and secondary valence with examples

medium CBSE JEE-MAIN NEET NCERT Class 12 3 min read

Question

State Werner’s theory of coordination compounds. Explain the concepts of primary valence and secondary valence with the example of CoCl3_3·6NH3_3.

(NCERT Class 12, Chapter 9)


Solution — Step by Step

Alfred Werner (1893) proposed that metals in coordination compounds show two types of valency:

  1. Primary valence (ionisable valence): The number of charges on the metal ion, satisfied by negative ions. These are ionisable and can be detected by AgNO3_3 test (for Cl^-).

  2. Secondary valence (coordination number): The number of ligands directly bonded to the metal ion. These are non-ionisable and are directed in space with a fixed geometry.

For CoCl3_3·6NH3_3, Werner proposed the structure: [Co(NH3)6]Cl3[\text{Co(NH}_3)_6]\text{Cl}_3

  • Primary valence = 3 (Co is in +3 oxidation state, satisfied by 3 Cl^- ions outside the coordination sphere)
  • Secondary valence = 6 (six NH3_3 molecules directly bonded to Co3+^{3+} inside the coordination sphere)
  • Geometry: Octahedral (six ligands arranged around the central metal)

When dissolved in water:

  • The compound dissociates as: [Co(NH3)6]3++3Cl[\text{Co(NH}_3)_6]^{3+} + 3\text{Cl}^-
  • All 3 Cl^- ions are ionisable → precipitated by AgNO3_3 as AgCl
  • The solution gives a conductivity corresponding to 4 ions (1 cation + 3 anions)

Compare with CoCl3_3·5NH3_3 = [CoCl(NH3)5]Cl2[\text{CoCl(NH}_3)_5]\text{Cl}_2: only 2 Cl^- ionise; conductivity shows 3 ions.

CompoundFormulaIonisable Cl^-IonsConductivity
CoCl3_3·6NH3_3[Co(NH3)6]Cl3[\text{Co(NH}_3)_6]\text{Cl}_334Highest
CoCl3_3·5NH3_3[CoCl(NH3)5]Cl2[\text{CoCl(NH}_3)_5]\text{Cl}_223High
CoCl3_3·4NH3_3[CoCl2(NH3)4]Cl[\text{CoCl}_2\text{(NH}_3)_4]\text{Cl}12Low
CoCl3_3·3NH3_3[CoCl3(NH3)3][\text{CoCl}_3\text{(NH}_3)_3]00None

Why This Works

Werner’s genius was recognising that the same formula (CoCl3_3·6NH3_3) could be explained not as a simple mixture but as a compound with an inner coordination sphere (secondary valence) and outer ionic sphere (primary valence). This explained why different compounds with the same empirical formula showed different conductivities and different numbers of AgCl precipitates.

His theory earned the Nobel Prize in Chemistry (1913) — the first for inorganic chemistry.


Alternative Method — Modern Terminology

In modern terms: primary valence = oxidation state; secondary valence = coordination number. The coordination sphere is enclosed in square brackets, and counter-ions are written outside.

Quick method to find the number of ionisable Cl^-: dissolve the compound, add excess AgNO3_3, and count the moles of AgCl precipitated per mole of compound. For CBSE boards, always write the conductivity evidence and AgNO3_3 test as proof of Werner’s theory.


Common Mistake

Students confuse primary and secondary valence. Primary valence is the oxidation state (ionisable, satisfied by counter-ions). Secondary valence is the coordination number (non-ionisable, satisfied by ligands). In [Co(NH3)6]Cl3[\text{Co(NH}_3)_6]\text{Cl}_3, the secondary valence is 6 (not 3), and the primary valence is 3 (not 6).

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