Import Question JSON

Current Question (ID: 20806)

Question:

$\text{The formula of a gaseous hydrocarbon which requires 6 times its own volume of } \text{O}_2 \text{ for complete oxidation and produces 4 times its own volume of } \text{CO}_2 \text{ is } \text{C}_x\text{H}_y. \text{ The value of } y \text{ is:}$ $1.\ 6$ $2.\ 8$ $3.\ 4$ $4.\ 10$

Options:

1. $6$
2. $8$
3. $4$
4. $10$

Solution:

$\text{Combustion reaction:}$ $\text{C}_x\text{H}_y (g) + \left(x + \frac{y}{4}\right) \text{O}_2 (g) \rightarrow x \text{CO}_2 (g) + \frac{y}{2} \text{H}_2\text{O} (\ell)$ $\text{Since:}$ $\text{V}_{\text{O}_2} = 6 \times \text{V}_{\text{C}_x\text{H}_y}$ $\Rightarrow V \left(x + \frac{y}{4}\right) = 6V$ $\Rightarrow \left(x + \frac{y}{4}\right) = 6f \Rightarrow 4 + \frac{y}{4} = 6$ $\Rightarrow y = 8$

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
}