Import Question JSON

Current Question (ID: 18733)

Question:

$\text{The correct electronic configuration of the central atom in } \text{K}_4[\text{Fe(CN)}_6] \text{ based on crystal field theory is:}$

Options:

1. $e^4 t_{2g}^2$
2. $t_{2g}^4 e_{g}^2$
3. $t_{2g}^6 e_{g}^0$
4. $e^3 t_{2g}^3$

Solution:

$\text{CN}^- \text{ is a strong field ligand.}$ $\text{The oxidation state of Fe in } \text{K}_4[\text{Fe(CN)}_6] \text{ is } +2.$ $\text{The electronic configuration of } \text{Fe}^{2+} \text{ is } 3d^6.$ $\text{Here, } \text{CN}^- \text{ is a strong field ligand thus pairing of electron takes place in } \text{Fe}^{2+} \text{ ion.}$ $\text{The CFT diagram is as follows:}$ $\text{The electronic configuration is } t_{2g}^6 e_{g}^0$

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
}