JEE Main · 2020 · Shift-IeasyBOND-120

If the magnetic moment of a di-oxygen species is 1.73 BM, it may be

Chemical Bonding · Class 11 · JEE Main Previous Year Question

Question

If the magnetic moment of a di-oxygen species is 1.73 BM, it may be

Options
  1. a

    O2\mathrm{O_2^-} or O2+\mathrm{O_2^+}

  2. b

    O2\mathrm{O_2} or O2+\mathrm{O_2^+}

  3. c

    O2\mathrm{O_2} or O2\mathrm{O_2^-}

  4. d

    O2\mathrm{O_2}, O2\mathrm{O_2^-} or O2+\mathrm{O_2^+}

Correct Answera

O2\mathrm{O_2^-} or O2+\mathrm{O_2^+}

Detailed Solution

🧠 μ=1.73\mu = 1.73 BM (spin-only) → n(n+2)=1.73\sqrt{n(n+2)} = 1.73n(n+2)=3n(n+2) = 3n=1n = 1 unpaired electron. Find which \ceO2\ce{O2} species have exactly 1 unpaired electron.

| Species | e | π2p\pi^*_{2p} electrons | Unpaired | |---|---|---|---| | \ceO2\ce{O2} | 16 | 2 (one in each degenerate MO) | 2 ✗ | | \ceO2+\ce{O2+} | 15 | 1 | 1 ✓ | | \ceO2\ce{O2-} | 17 | 3 (one full + one half) | 1 ✓ | | \ceO22\ce{O2^{2-}} | 18 | 4 (both full) | 0 ✗ |

Both \ceO2+\ce{O2+} and \ceO2\ce{O2-} have exactly 1 unpaired electron → μ=1.73\mu = 1.73 BM.

Answer: (a) \ceO2 or \ceO2+\boxed{\text{Answer: (a) } \ce{O2-}\text{ or }\ce{O2+}}

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