Import Question JSON

Current Question (ID: 17902)

Question:

$\text{Lithium metal crystallizes in a body-centered cubic crystal. If the length of the side of the unit cell of lithium is } 351 \text{ pm, the atomic radius of the lithium will be:}$

Options:

1. $240.8 \text{ pm}$
2. $151.8 \text{ pm}$
3. $75.5 \text{ pm}$
4. $300.5 \text{ pm}$

Solution:

$\text{HINT: For a BCC crystal, } a\sqrt{3} = 4r$ $\text{where, 'a' is the edge length and 'r' is the atomic radius.}$ $\text{Explanation:}$ $\text{Atomic radius of lithium (r)}$ $r = \frac{a\sqrt{3}}{4}$ $= \frac{351 \times 1.732}{4}$ $= 151.98 \text{ pm}$

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
}