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Chemical Bonding and Molecular Structure question

2017 · 8 Apr · Shift 1 · Q16
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Chemical Bonding and Molecular Structure question

2017 · 8 Apr · Shift 1 · Q16

JEE MainChemistryChemical Bonding and Molecular StructureMCQ+4 / −1
Which of the following is paramagnetic ?
  1. A
    NO+NO^+NO+
  2. B
    CO
  3. C
    O22−O_2^{2 - }O22−​
  4. D
    B2B_2B2​
View written solutionFree

Correct answer: D

  1. Idea: A species is paramagnetic if it has one or more unpaired electrons.

  2. We examine each option using molecular orbital (MO) theory / electron count.


Option A: NO+NO^+NO+

  • Total electrons: 7+8−1=147 + 8 - 1 = 147+8−1=14
  • This is isoelectronic with N2N_2N2​ and CO.
  • MO configuration for 14 electrons gives all electrons paired.
  • Therefore, NO+NO^+NO+ is diamagnetic.

Option B: CO

  • Total electrons: 6+8=146 + 8 = 146+8=14
  • CO is also isoelectronic with N2N_2N2​.
  • All electrons are paired in its MO configuration.
  • Therefore, CO is diamagnetic.

Option C: O22−O_2^{2-}O22−​

  • Total electrons: 8+8+2=188 + 8 + 2 = 188+8+2=18
  • For dioxygen species:
    • O2O_2O2​ has 2 unpaired electrons,
    • O2−O_2^-O2−​ has 1 unpaired electron,
    • O22−O_2^{2-}O22−​ has all electrons paired.
  • Thus O22−O_2^{2-}O22−​ is diamagnetic.

Option D: B2B_2B2​

  • Total electrons: 5+5=105 + 5 = 105+5=10
  • For lighter homonuclear diatomics (B2,C2,N2B_2, C_2, N_2B2​,C2​,N2​), MO order is: σ(1s), σ∗(1s), σ(2s), σ∗(2s), π(2px)=π(2py), σ(2pz)\sigma(1s),\ \sigma^*(1s),\ \sigma(2s),\ \sigma^*(2s),\ \pi(2p_x)=\pi(2p_y),\ \sigma(2p_z)σ(1s), σ∗(1s), σ(2s), σ∗(2s), π(2px​)=π(2py​), σ(2pz​)
  • Filling 10 electrons: σ(1s)2 σ∗(1s)2 σ(2s)2 σ∗(2s)2 π(2px)1 π(2py)1\sigma(1s)^2\,\sigma^*(1s)^2\,\sigma(2s)^2\,\sigma^*(2s)^2\,\pi(2p_x)^1\,\pi(2p_y)^1σ(1s)2σ∗(1s)2σ(2s)2σ∗(2s)2π(2px​)1π(2py​)1
  • There are two unpaired electrons in the degenerate π\piπ orbitals.
  • Therefore, B2B_2B2​ is paramagnetic.

  1. Conclusion: Only B2B_2B2​ is paramagnetic.

D: B2\boxed{\text{D: } B_2}D: B2​​

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