Import Question JSON

Current Question (ID: 17957)

Question:

$\text{The total number of tetrahedral voids in the face centered unit cell is -}$

Options:

1. $6$
2. $8$
3. $10$
4. $12$

Solution:

$\text{HINT: The number of tetrahedral voids generated is } 2N \text{ (N = number of close-packed spheres)}$ $\text{FCC unit cell contains 8 tetrahedral voids at the center of each 8 smaller cubes of a unit cell as shown below:}$ $\text{Number of atoms in FCC unit cell} = 4$ $\text{Number of octahedral voids} = 4$ $\text{Number of tetrahedral voids} = 8$

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
}