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Q.The oxidation number of Co in [Co(en)3]2(SO4)3[Co(en)_3]_2(SO_4)_3 is : (A) +3+3 (B) +2+2 (C) +4+4 (D) +6+6

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The complex cation [Co(en)3]n+[Co(en)_3]^{n+} must balance three sulfate anions (SO42−SO_4^{2-}); since ethylenediamine is neutral, cobalt carries +3.

Why oxidation numbers matter in coordination compounds

Oxidation state tells us the formal charge on the central metal after we've assigned all bonding electrons to the more electronegative atom. In coordination chemistry, we treat ligands as intact units: neutral ligands contribute zero, anionic ligands contribute their charge. The sum of oxidation states in the entire complex must equal its net charge.

The formula [Co(en)3]2(SO4)3[Co(en)_3]_2(SO_4)_3 shows us a salt: two complex cations paired with three sulfate anions. Our job is to figure out what charge the cobalt must carry to make the arithmetic work.

Step-by-step determination

1. Identify the ionic components

The compound dissociates into:

  • Two [Co(en)3]n+[Co(en)_3]^{n+} cations (where nn is unknown)
  • Three SO42−SO_4^{2-} anions

2. Apply charge neutrality

The entire salt is neutral, so total positive charge equals total negative charge:

2×(charge on one cation)=3×22 \times (\text{charge on one cation}) = 3 \times 2

2n=62n = 6

n=+3n = +3

Each complex cation carries a +3 charge: [Co(en)3]3+[Co(en)_3]^{3+}.

3. Determine cobalt's oxidation state within the cation

Now look inside [Co(en)3]3+[Co(en)_3]^{3+}. Ethylenediamine (en=H2NCH2CH2NH2en = H_2NCH_2CH_2NH_2) is a neutral bidentate ligand—it donates two lone pairs but carries no charge. Three enen ligands contribute:

3×0=03 \times 0 = 0

The oxidation state of cobalt plus the ligand contributions must equal the cation charge:

xCo+0=+3x_{Co} + 0 = +3

xCo=+3x_{Co} = +3

Tip

Neutral ligands like NH3NH_3, H2OH_2O, enen, and pypy (pyridine) don't change the metal's oxidation state—whatever charge the complex ion has, the metal carries it.

Watch out

Don't confuse the charge on the complex ion with the oxidation state of the metal. They happen to be equal here because all ligands are neutral, but with anionic ligands like Cl−Cl^- or CN−CN^-, they differ.

4. Verify with sulfate stoichiometry

Three sulfate ions provide 3×(−2)=−63 \times (-2) = -6 charge. Two cobalt(III) complexes provide 2×(+3)=+62 \times (+3) = +6 charge. The salt is neutral. ✓

✓Final answer

The oxidation number of Co in [Co(en)3]2(SO4)3[Co(en)_3]_2(SO_4)_3 is +3, so the correct option is (A).

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