Import Question JSON

$\text{HINT: Bond order } \propto \text{ Stability}$ $\text{Explanation:}$ $\text{The electronic configuration of a given molecule/ion according to MOT is as follows:}$ $\text{1. Electronic configuration of } \text{O}_2 \text{ (16 electrons)} = \sigma_{1s}^2, \sigma_{1s}^{*2}, \sigma_{2s}^2, \sigma_{2s}^{*2}, \sigma_{2p_z}^2, \pi_{2p_x}^2 \approx \pi_{2p_y}^2, \pi_{2p_x}^{*1} \approx \pi_{2p_y}^{*1}$ $\text{Bond order} = \frac{1}{2}(N_b - N_a) = \frac{1}{2}(10 - 6) = 2$ $\text{2. Electronic configuration of } \text{O}_2^+ \text{ (15 electrons)} = \sigma_{1s}^2, \sigma_{1s}^{*2}, \sigma_{2s}^2, \sigma_{2s}^{*2}, \sigma_{2p_z}^2, \pi_{2p_x}^2 \approx \pi_{2p_y}^2, \pi_{2p_x}^{*1} \approx \pi_{2p_y}^{*0}$ $\text{Bond order} = \frac{1}{2}(N_b - N_a) = \frac{1}{2}(10 - 5) = 2.5$ $\text{3. Electronic configuration of } \text{O}_2^- \text{ (17 electrons)} = \sigma_{1s}^2, \sigma_{1s}^{*2}, \sigma_{2s}^2, \sigma_{2s}^{*2}, \sigma_{2p_z}^2, \pi_{2p_x}^2 \approx \pi_{2p_y}^2, \pi_{2p_x}^{*2} \approx \pi_{2p_y}^{*1}$ $\text{Bond order} = \frac{1}{2}(N_b - N_a) = \frac{1}{2}(10 - 7) = 1.5$ $\text{4. Electronic configuration of } \text{O}_2^{2-} \text{ (18 electrons)} = \sigma_{1s}^2, \sigma_{1s}^{*2}, \sigma_{2s}^2, \sigma_{2s}^{*2}, \sigma_{2p_z}^2, \pi_{2p_x}^2 \approx \pi_{2p_y}^2, \pi_{2p_x}^{*2} \approx \pi_{2p_y}^{*2}$ $\text{Bond order} = \frac{1}{2}(N_b - N_a) = \frac{1}{2}(10 - 8) = 1$ $\text{Thus, the order of bond order is directly proportional to the relative stability.}$ $\text{The order is: } \text{O}_2^+ > \text{O}_2 > \text{O}_2^- > \text{O}_2^{2-}$