Import Question JSON

Current Question (ID: 17934)

Question:

$\text{An element (atomic mass = 100 g/mole) having a BCC structure has a unit cell edge of 400 pm. The density of the element is:}$

Options:

1. $2.14 \text{ g/cm}^3$
2. $5.20 \text{ g/cm}^3$
3. $7.28 \text{ g/cm}^3$
4. $10.37 \text{ g/cm}^3$

Solution:

$\text{HINT: } \rho = \frac{Z \times M}{N_A \times a^3}$ $\text{Explanation:}$ $\text{Put in the formula}$ $\text{density} = \frac{Z \cdot M}{a^3 N_A}$ $= \frac{2 \times 100}{(4 \times 10^{-8})^3 \times 6 \times 10^{23}} = 5.18 \text{ g/cm}^3$

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
}