Import Question JSON

Current Question (ID: 21559)

Question:

$\text{Which of the following pairs of ions of lanthanoids corresponds to half-filled and completely filled 'f' orbitals respectively, based on their electronic configurations?}$ $\text{[Given: Atomic no. Eu, 63; Sm, 62; Tm, 69; Tb, 65; Yb, 70; Dy, 66]}$

Options:

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

Solution:

$\text{Hint: Check electron configurations for half-filled and fully filled orbitals.}$ $\begin{array}{cccc} & +2 & +3 & +4 \\ \text{Eu} & 4f^7 & 4f^6 & \\ \text{Tm} & 4f^{13} & 4f^{12} & \\ \text{Sm} & 4f^6 & 4f^5 & \\ \text{Tb} & 4f^9 & 4f^8 & 4f^7 \\ \text{Yb} & 4f^{14} & 4f^{13} & \\ \text{Dy} & 4f^{10} & 4f^9 & \end{array}$ $\text{Hence, the pair } \text{Tb}^{4+} \text{ and Yb}^{2+} \text{ have half filled and completely filled 'f' subshells respectively}$

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
}