Import Question JSON

Current Question (ID: 18802)

Question:

$\text{The calculated spin-only magnetic moment of } \text{Cr}^{2+} \text{ ion is:}$

Options:

1. $4.90 \text{ BM}$
2. $5.92 \text{ BM}$
3. $2.84 \text{ BM}$
4. $3.87 \text{ BM}$

Solution:

$\text{HINT: Spin only magnetic moment is: } \mu = \sqrt{n(n+2)} \text{ BM}$ $\text{Explanation:}$ $\text{Cr - } 1\text{s}^22\text{p}^63\text{s}^23\text{p}^63\text{d}^54\text{s}^1$ $\text{Cr}^{2+} - 1\text{s}^22\text{p}^63\text{s}^23\text{p}^63\text{d}^44\text{s}^0$ $\text{So, } \text{Cr}^{2+} \text{ has 4 unpaired electrons.}$ $\mu = \sqrt{n(n) + 2} \text{ BM} = \sqrt{4(4) + 2} \text{ BM} = \sqrt{24} \text{ BM}$ $\mu = 4.90 \text{ BM.}$

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
}