Q58 / 180 · COMEDK 2023 (Evening Shift) · Chemistry

Identify the correct statement describing the characteristics of $\mathrm{C}_2$ molecule.

  • Correct answer
    A
    Bond order $=2.0 ; \quad$ Diamagnetic in nature; Both bonds formed are pi bonds.
  • B
    Bond order $=1.5 ; \quad$ Paramagnetic in nature; Both bonds formed are sigma bonds $(\sigma)$.
  • C
    Bond order $=0 \quad \mathrm{C}_2$ molecule is non-existent.
  • D
    Bond order $=2.0 ; \quad$ Paramagnetic in nature; One sigma and one pi bond formed.

Solution

$C_2$ (12e): $\sigma_{1s}^2 \sigma_{1s}^{*2} \sigma_{2s}^2 \sigma_{2s}^{*2} \pi_{2p_x}^2 \pi_{2p_y}^2$

Bond order $= \dfrac{1}{2}(8 - 4) = 2.0$

All electrons are paired $\to$ diamagnetic.

The two highest occupied MOs are $\pi_{2p_x}$ and $\pi_{2p_y}$ $\to$ both bonds formed are pi bonds.

Answer: Bond order $= 2.0$, diamagnetic, both bonds are pi bonds. Option (1)

Hence, the correct answer is option: 'A'.

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