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Current Question (ID: 8083)

Question:
The relative order of stability of the following species: $\text{O}_2$, $\text{O}_2^+$, $\text{O}_2^-$, and $\text{O}_2^{2-}$ is -
Options:
  • 1. $\text{O}_2^+ > \text{O}_2 > \text{O}_2^- > \text{O}_2^{2-}$ (Correct)
  • 2. $\text{O}_2^{2-} > \text{O}_2 > \text{O}_2^- > \text{O}_2^+$
  • 3. $\text{O}_2 > \text{O}_2^+ > \text{O}_2^- > \text{O}_2^{2-}$
  • 4. $\text{O}_2 > \text{O}_2^{2-} > \text{O}_2^- > \text{O}_2^+$
Solution:
HINT: Bond order $\alpha$ Stability Explanation: The electronic configuration of a given molecule/ion according to MOT is as follows: 1. Electronic configuration of $\text{O}_2$ (16 electrons) = $\sigma_{1s}^2$, $\sigma_{1s}^{*2}$, $\sigma_{2s}^2$, $\sigma_{2s}^{*2}$, $\sigma_{2pz}^2$, $\pi_{2px}^2 \approx \pi_{2py}^2$, $\pi_{2px}^{*1} \approx \pi_{2py}^1$ Bond order = $\frac{1}{2}$ $(\text{N}_b - \text{N}_a)$ = $\frac{1}{2}$ $(10 - 6)$ = $2$ 2. Electronic configuration of $\text{O}_2^+$ (15 electrons) = $\sigma_{1s}^2$, $\sigma_{1s}^{*2}$, $\sigma_{2s}^2$, $\sigma_{2s}^{*2}$, $\sigma_{2pz}^2$, $\pi_{2px}^2 \approx \pi_{2py}^2$, $\pi_{2px}^{*1} \approx \pi_{2py}^0$ Bond order = $\frac{1}{2}$ $(\text{N}_b - \text{N}_a)$ = $\frac{1}{2}$ $(10 - 5)$ = $2.5$ 3. Electronic configuration of $\text{O}_2^-$ (17 electrons) = $\sigma_{1s}^2$, $\sigma_{1s}^{*2}$, $\sigma_{2s}^2$, $\sigma_{2s}^{*2}$, $\sigma_{2pz}^2$, $\pi_{2px}^2 \approx \pi_{2py}^2$, $\pi_{2px}^{*2} \approx \pi_{2py}^1$ Bond order = $\frac{1}{2}$ $(\text{N}_b - \text{N}_a)$ = $\frac{1}{2}$ $(10 - 7)$ = $1.5$ 4. Electronic configuration of $\text{O}_2^{2-}$ (18 electrons) = $\sigma_{1s}^2$, $\sigma_{1s}^{*2}$, $\sigma_{2s}^2$, $\sigma_{2s}^{*2}$, $\sigma_{2pz}^2$, $\pi_{2px}^2 \approx \pi_{2py}^2$, $\pi_{2px}^{*2} \approx \pi_{2py}^2$ Bond order = $\frac{1}{2}$ $(\text{N}_b - \text{N}_a)$ = $\frac{1}{2}$ $(10 - 8)$ = $1$ Thus, the order of bond order is directly proportional to the relative stability. The order is: $\text{O}_2^+ > \text{O}_2 > \text{O}_2^- > \text{O}_2^{2-}$

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{
  "question": "The mass of carbon present in 0.5 mole of $\\mathrm{K}_4[\\mathrm{Fe(CN)}_6]$ is:",
  "options": [
    {
      "id": 1,
      "text": "1.8 g"
    },
    {
      "id": 2,
      "text": "18 g"
    },
    {
      "id": 3,
      "text": "3.6 g"
    },
    {
      "id": 4,
      "text": "36 g"
    }
  ],
  "solution": "\\begin{align}\n&\\text{Hint: Mole concept}\\\\\n&1 \\text{ mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6] = 6 \\text{ moles of carbon atom}\\\\\n&0.5 \\text{ mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6] = 6 \\times 0.5 \\text{ mol} = 3 \\text{ mol}\\\\\n&1 \\text{ mol of carbon} = 12 \\text{ g}\\\\\n&3 \\text{ mol carbon} = 12 \\times 3 = 36 \\text{ g}\\\\\n&\\text{Hence, 36 g mass of carbon present in 0.5 mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6].\n\\end{align}",
  "correct_answer": 4
}