Import Question JSON

Current Question (ID: 18758)

Question:

$[\text{Cr} (\text{H}_2\text{O})_6]\text{Cl}_3$ $\text{(At. no. of Cr = 24)}$ $\text{has a magnetic moment of 3.83 BM.}$ $\text{What is the correct distribution of 3d electrons in the chromium of the complex:}$

Options:

1. $3d^1_{xy}, 3d^1_{yz}, 3d^1_{z^2}$
2. $3d^{x^2-y^2}, 3d^1_{z^2}, 3d^1_{xz}$
3. $3d_{xy}, 3d^{x^2-y^2}, 3d^1_{yz}$
4. $3d^1_{xy}, 3d^1_{yz}, 3d^1_{zx}$

Solution:

$\text{Magnetic moment} = \sqrt{n(n+2)}$ $3.83 = \sqrt{n(n+2)}$ $(3.83)^2 = n(n+2)$ $14.6689 = n^2 + 2n$ $\text{On solving the equation, } n = 3$ $3 \Rightarrow \text{unpaired electrons in d subshell}$ $\text{In } [\text{Cr} (\text{H}_2\text{O})_6]\text{Cl}_3, \text{ oxidation state of Cr is } +3 \text{ Hence in } 3d^3 \text{ the distribution of electrons: } 3d^1_{xy}, 3d^1_{yz}, 3d^1_{zx}, 3d^0_{x^2-y^2}, 3d^0_{z^2}$

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
}