Import Question JSON

Current Question (ID: 21001)

Question:

$\text{Which among the following have single unpaired electron?}$ $\text{N}_2, \text{O}_2, \text{CN}^-, \text{O}_2^-, \text{C}_2^{2-}, \text{N}_2^-$

Options:

1. $\text{O}_2, \text{N}_2$
2. $\text{CN}^-, \text{C}_2^{2-}$
3. $\text{CN}^-, \text{O}_2^-$
4. $\text{N}_2^-, \text{O}_2^-$

Solution:

$\text{Hint: Use Molecular Orbital Theory (MOT) to determine unpaired electrons.}$ $\text{N}_2^-: \sigma_{1s}^2 \sigma_{1s}^{*2} \sigma_{2s}^2 \sigma_{2s}^{*2} \pi_{2p_y}^2 \pi_{2p_x}^2 \sigma_{2p_z}^2 \pi_{2p_x}^{*1} = \pi_{2p_y}^2 \pi_{2p_x}^{*1}$ $\text{O}_2^-: \sigma_{1s}^2 \sigma_{1s}^{*2} \sigma_{2s}^2 \sigma_{2s}^{*2} \pi_{2p_y}^2 \pi_{2p_x}^2 \pi_{2p_x}^{*2} = \pi_{2p_y}^2 \pi_{2p_x}^{*2} \pi_{2p_y}^{*1}$ $\text{N}_2^- \text{ and } \text{O}_2^- \text{ have 1 unpaired electron.}$

Import JSON File

Upload a JSON file containing LaTeX/MathJax formatted question, options, and solution.

Expected JSON Format:

{
  "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
}