Import Question JSON

Current Question (ID: 21216)

Question:

$120 \text{ gram of an organic compound on combustion analysis gives } 330 \text{ gram of carbon dioxide and } 270 \text{ gram of water. }$ $\% \text{ by mass of C and H in an organic compound is:}$

Options:

1. $50\% \text{ C and } 50\% \text{ H}$
2. $60\% \text{ C and } 40\% \text{ H}$
3. $80\% \text{ C and } 20\% \text{ H}$
4. $75\% \text{ C and } 25\% \text{ H}$

Solution:

$\text{Weight of } \text{CO}_2 = 330 \text{ gram}$ $\text{Mole of } \text{CO}_2 = \frac{330}{44} \text{ gram}$ $\text{Mole of C} = \frac{330}{44} \text{ gram}$ $\text{Weight of C} = \frac{330}{44} \times 12 \text{ gram}$ $\% \text{ of C} = \frac{330 \times 12 \times 100}{44 \times 120} = 75\%$ $\text{Weight of } \text{H}_2\text{O} = 270 \text{ gram}$ $\text{Mole of } \text{H}_2\text{O} = \frac{270}{18} \text{ gram}$ $\text{Weight of H} = \frac{270}{18} \times 1 \text{ gram}$ $\% \text{ of H} = \frac{270 \times 100}{18 \times 120} = 25\%$

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
}