Import Question JSON

Current Question (ID: 7656)

Question:

$\text{The radius of which ion is closest to that of } \text{Li}^+ \text{ ion?}$

Options:

1. $\text{Na}^+$
2. $\text{Be}^{2+}$
3. $\text{Mg}^{2+}$ (Correct)
4. $\text{Al}^{3+}$

Solution:

$\text{HINT: Radius of } \text{Mg}^{2+} \text{ is close to } \text{Li}^+$\n\n$\text{Explanation: Li is having diagonal relationship with Mg, due to this the ionic and atomic radii of both these elements are same.}$\n\n$\text{Given ionic radii:}$\n\n$90 \text{ pm} = \text{Li}^+$\n\n$86 \text{ pm} = \text{Mg}^{2+}$\n\n$59 \text{ pm} = \text{Be}^{2+}$\n\n$68 \text{ pm} = \text{Al}^{3+}$\n\n$116 \text{ pm} = \text{Na}^+$\n\n$\text{Comparing the ionic radii values with } \text{Li}^+ \text{ (90 pm), } \text{Mg}^{2+} \text{ (86 pm) has the closest value. This similarity is due to the diagonal relationship between Li and Mg in the periodic table, which results in similar ionic sizes despite their different charges.}$

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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
}