Import Question JSON

Current Question (ID: 20839)

Question:

$120 \text{ g of an organic compound that contains only carbon and hydrogen gives } 330 \text{ g of } \text{CO}_2 \text{ and } 270 \text{ g of water on complete combustion. The percentage of carbon and hydrogen, respectively are:}$

Options:

1. $25 \text{ and } 75$
2. $40 \text{ and } 60$
3. $60 \text{ and } 40$
4. $75 \text{ and } 25$

Solution:

$\text{Hint: Percentage of C} = \frac{\text{Mass of Carbon} \times 100}{\text{Mass of organic compound}}$ $\text{Mass of organic compound} = 120 \text{ g}$ $\text{Moles of } \text{CO}_2 = \frac{330}{44} = 7.5$ $\text{Mass of carbon} = 7.5 \times 12 = 90 \text{ gm}$ $\text{Percentage of C} = \frac{90 \times 100}{120} = 75\%$ $\text{Mass of } \text{H}_2\text{O} = 270 \text{ g}$ $\text{Moles of } \text{H}_2\text{O} = \frac{270}{18} = 15$ $\text{Mass of hydrogen} = 15 \times 2 = 30 \text{ gm}$ $\text{Percentage of H} = \frac{30 \times 100}{120} = 25\%$

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
}