Import Question JSON

Current Question (ID: 18781)

Question:

$\text{The correct order of energies of d-orbitals of metal ions in a square planar complex is:}$

Options:

1. $d_{xy} = d_{yz} = d_{zx} > d_{x^2-y^2} = d_{z^2}$
2. $d_{x^2-y^2} = d_{z^2} > d_{xy} = d_{yz} = d_{zx}$
3. $d_{x^2-y^2} > d_{z^2} > d_{xy} = d_{yz} = d_{zx}$
4. $d_{x^2-y^2} > d_{xy} > d_{z^2} = d_{zx} = d_{yz}$

Solution:

$\text{HINT: Any orbital in the xy plane has a higher energy level.}$ $\text{Explanation:}$ $\text{STEP 1:}$ $\text{In a square planar, there are four ligands as well. However, the difference is that the electrons of the ligands are only attracted to the xy plane. Any orbital in the xy plane has a higher energy level (Figure).}$ $\text{There are four different energy levels for the square planar (from the highest energy level to the lowest energy level): } d_{x^2-y^2}, d_{xy}, d_{z^2}, \text{ and both } d_{xz} \text{ and } d_{yz}.$ $\text{STEP 2: The crystal field splitting diagram for the square planar complex is:}$ $d_{x^2-y^2} > d_{xy} > d_{z^2} = d_{xz} = d_{yz}$

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
}