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JEE Main 2017 · Chemistry · Chemical Bonding and Molecular Structure · medium

Pairs of species have the same bond order but different numbers of unpaired electrons (ground state, molecular orbital theory)?

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Which of the following pairs of species have the same bond order but different numbers of unpaired electrons (ground state, molecular orbital theory)?
  1. A. N2+\mathrm{N_2^+} and O2+\mathrm{O_2^+}
  2. B. N2\mathrm{N_2} and CO\mathrm{CO}
  3. C. NO\mathrm{NO} and O2+\mathrm{O_2^+}
  4. D. C2\mathrm{C_2} and O2\mathrm{O_2}
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Answer: (D) C2\mathrm{C_2} and O2\mathrm{O_2}

C2\mathrm{C_2} (12 e−^-, π2p4\pi_{2p}^4 filled, σ2p\sigma_{2p} empty): bond order 22, no unpaired electrons. O2\mathrm{O_2}: bond order 22, two unpaired electrons in π∗\pi^*. So they differ in unpaired electrons. N2+\mathrm{N_2^+}, O2+\mathrm{O_2^+} and NO\mathrm{NO} all have bond order 2.52.5 and one unpaired electron; N2\mathrm{N_2} and CO\mathrm{CO} both have bond order 33 and none.
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