Import Question JSON

Current Question (ID: 20799)

Question:

$\text{Given 645 g of a compound } \text{C}_6\text{H}_5\text{N}_3\text{O}_6 . \text{ The number of N atoms present in this compound is:}$ $\text{Report } x \text{ if your answer is } x \times 10^{21}$ $\left( C = 12, H = 1, N = 14, O = 16 \right) \left( N_A = 6.02 \times 10^{23} \right)$

Options:

1. 5418
2. 5671
3. 5212
4. 5781

Solution:

$\text{Hint: 1 mole of } \text{C}_6\text{H}_5\text{N}_3\text{O}_6 \text{ contains 3 moles of nitrogen.}$ $\text{Explanation:}$ $\text{Moles of compound } (\text{C}_6\text{H}_5\text{N}_3\text{O}_6) = \frac{645}{215} = 3 \text{ mol}$ $1 \text{ mole of } \text{C}_6\text{H}_5\text{N}_3\text{O}_6 \text{ contains 3 moles of nitrogen.}$ $\text{So, moles of Nitrogen} = 9 \text{ moles}$ $\text{Number of atoms of Nitrogen}$ $= 9 \times 6.02 \times 10^{23}$ $= 54.18 \times 10^{23}$ $= 5418 \times 10^{21}$ $\text{So, option 1 is the correct answer.}$

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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
}