Import Question JSON

Current Question (ID: 21542)

Question:

$\text{Which of the following lanthanide have half-filled and fully filled f-orbital respectively?}$

Options:

1. $\text{Eu}^{2+}, \text{Tb}^{3+}$
2. $\text{Yb}^{3+}, \text{Tb}^{2+}$
3. $\text{Gd}^{3+}, \text{Yb}^{2+}$
4. $\text{Sm}^{2+}, \text{Dy}^{2+}$

Solution:

$\text{Hint: Gd}^{3+} \text{ has half-filled configuration.}$ $\begin{array}{|c|c|} \hline \text{Ion} & \text{Electronic configuration} \\ \hline \text{Eu}^{2+} & 4f^7 \\ \text{Tb}^{2+} & 4f^9 \\ \text{Tb}^{3+} & 4f^8 \\ \text{Gd}^{3+} & 4f^7 \\ \text{Dy}^{2+} & 4f^{10} \\ \text{Yb}^{2+} & 4f^{14} \\ \text{Sm}^{2+} & 4f^6 \\ \hline \end{array}$

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
}