Import Question JSON

Current Question (ID: 20833)

Question:

$\text{Calculate mass of } \text{CH}_4 \text{ consumed for the formation of } 22 \text{ g } \text{CO}_2.$ $\text{CH}_4 + 2\text{O}_2 \rightarrow \text{CO}_2 + 2\text{H}_2\text{O}$

Options:

1. $8$
2. $1$
3. $9$
4. $7$

Solution:

$\text{Hint: } 1 \text{ mol of } \text{CO}_2 \text{ produced by } 1 \text{ mol of } \text{CH}_4$ $\text{Mass of } \text{CO}_2 \text{ produced } = 22 \text{ g}$ $\text{Moles of } \text{CO}_2 \text{ produced } = \frac{22}{44} \text{ mol}$ $= 0.5 \text{ mol}$ $1 \text{ mol of } \text{CO}_2 \text{ produced by } 1 \text{ mol of } \text{CH}_4$ $0.5 \text{ mol of } \text{CO}_2 \text{ can be produced by } 0.5 \text{ mol of } \text{CH}_4$ $\text{Mole of } \text{CH}_4 \text{ consumed } = 0.5 \text{ mol}$ $\text{Mass of } \text{CH}_4 \text{ consumed } = 0.5 \times 16 \text{ g}$ $= 8 \text{ g}$

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
}