Question

Which of the following relationships is true?

• A. Bond dissociation energy of $O_2$ and $O_2^-$ are same
• B. Bond dissociation energy of $O_{2}^{+}$ is higher than $O_{2}$
• C. Bond dissociation energy of $O_{2}^{-}$ and $O^{2-}_{2}$ are same
• D. Bond dissociation energy of $O_{2}^{2-}$ and $O^{-}_{2}$

Answer 1

Answer: (B)

$M.O.$ configuration of $O_{2}^{+}:$
$O_{2}^{+} : \left(\sigma 1s^{2}\right)\left(\sigma^* 1s^{2}\right)\left(\sigma 2s^{2}\right)\left(\sigma^* 2s^{2}\right)\left(\sigma 2 p_{z}^{2}\right) \left(\pi 2p_{x}^{2} = \pi2p_{y}^{2}\right) $
$\left(\pi^ * 2p_{x}^{1}\right)$
$B .O. = \frac{10-5}{2} = 2.5$
$B.O. of O_{2} = 2 \begin{bmatrix}O_{2}^{+}&>&O_{2}&>&O_{2}^{-}&>&O_{2}^{2-}\\ 2.5&&2&&1.5&&1\end{bmatrix}$