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Coordination Compounds question

2024 · 5 Apr · Shift 1 · Q21
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  5. /2024 · 5 Apr · Shift 1 · Q21

Coordination Compounds question

2024 · 5 Apr · Shift 1 · Q21

JEE MainChemistryCoordination CompoundsNumerical+4 / −1
The spin-only magnetic moment value of the ion among Ti2+,V2+,Co3+\mathrm{Ti}^{2+}, \mathrm{V}^{2+}, \mathrm{Co}^{3+}Ti2+,V2+,Co3+ and Cr2+\mathrm{Cr}^{2+}Cr2+, that acts as strong oxidising agent in aqueous solution is ‾\underline{\hspace{2cm}}​ BM (Near integer). (Given atomic numbers : Ti:22, V:23,Cr:24,Co:27\mathrm{Ti}: 22, \mathrm{~V}: 23, \mathrm{Cr}: 24, \mathrm{Co}: 27Ti:22, V:23,Cr:24,Co:27)
Numerical answer
View written solutionFree

Correct answer: 5

  1. Identify which ion is a strong oxidising agent in aqueous solution

    We compare the given ions: Ti2+, V2+, Co3+, Cr2+\mathrm{Ti}^{2+},\ \mathrm{V}^{2+},\ \mathrm{Co}^{3+},\ \mathrm{Cr}^{2+}Ti2+, V2+, Co3+, Cr2+

    In aqueous solution:

    • Ti2+\mathrm{Ti}^{2+}Ti2+ is a reducing agent (easily oxidised to Ti3+\mathrm{Ti}^{3+}Ti3+).
    • V2+\mathrm{V}^{2+}V2+ is also a reducing agent.
    • Cr2+\mathrm{Cr}^{2+}Cr2+ is a strong reducing agent.
    • Co3+\mathrm{Co}^{3+}Co3+ is a strong oxidising agent in aqueous solution because it is readily reduced to the more stable Co2+\mathrm{Co}^{2+}Co2+ state.

    Hence, the required ion is: Co3+\mathrm{Co}^{3+}Co3+

  2. Find electronic configuration of Co3+\mathrm{Co}^{3+}Co3+

    Atomic number of Co is 27.

    Neutral cobalt: Co:[Ar] 3d74s2\mathrm{Co}: [\mathrm{Ar}]\,3d^7 4s^2Co:[Ar]3d74s2

    For Co3+\mathrm{Co}^{3+}Co3+, remove two electrons from 4s4s4s and one from 3d3d3d: Co3+:[Ar] 3d6\mathrm{Co}^{3+}: [\mathrm{Ar}]\,3d^6Co3+:[Ar]3d6

  3. Determine number of unpaired electrons

    Since the ion is given as a free ion (no ligand field specified), use the high-spin/free-ion count for 3d63d^63d6: n=4n = 4n=4 unpaired electrons.

  4. Calculate spin-only magnetic moment

    Formula: μ=n(n+2) BM\mu = \sqrt{n(n+2)}\ \text{BM}μ=n(n+2)​ BM

    Substituting n=4n=4n=4: μ=4(4+2)=24≈4.90 BM\mu = \sqrt{4(4+2)} = \sqrt{24} \approx 4.90\ \text{BM}μ=4(4+2)​=24​≈4.90 BM

    Near integer: 5 BM\boxed{5\ \text{BM}}5 BM​

  5. Comparison with stored answer

    Derived answer = 555

    Stored correct answer = 555

    Therefore, they agree.

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