Import Question JSON

Current Question (ID: 20938)

Question:

$\text{The ionic radius of Na}^+ \text{ ion is } 1.02 \, \text{Å.}$ $\text{The ionic radii (in Å) of Mg}^{2+} \text{ and Al}^{3+}, \text{ respectively, are:}$

Options:

1. $0.68 \text{ and } 0.72$
2. $1.05 \text{ and } 0.99$
3. $0.72 \text{ and } 0.54$
4. $0.85 \text{ and } 0.99$

Solution:

$\text{In all the given species total 10 electrons are present.}$ $\text{Ionic radius decreases as the positive charge on the cation increases when considering isoelectronic species.}$ $\text{As the positive charge increases (from +1 to +3), the effective nuclear charge experienced by those electrons increases, pulling them closer to the nucleus and thus decreasing the ionic radius.}$ $\text{Order of size is Na}^+ > \text{Mg}^{2+} > \text{Al}^{3+}. \text{ Thus, option 3 is the correct answer.}$

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
}