Import Question JSON

Current Question (ID: 20848)

Question:

$\text{Consider the complete combustion of butane, the amount of butane utilized to produce } 72.0 \text{ g of water is} \ldots \times 10^{-1} \text{ g. (in nearest integer)}$

Options:

1. $464$
2. $345$
3. $671$
4. $124$

Solution:

$\text{Hint: } \text{C}_n\text{H}_{2n+2} + \left( \frac{3n+1}{2} \right) \text{O}_2 \rightarrow n\text{CO}_2 + (n+1)\text{H}_2\text{O}$ $\text{C}_4\text{H}_{10} + \frac{13}{2} \text{O}_2 \rightarrow 4\text{CO}_2 + 5\text{H}_2\text{O}$ $\therefore 1 \text{ mole } \text{C}_4\text{H}_{10} \text{ produces } 5 \text{ mole } \text{H}_2\text{O.}$ $5 \text{ mole } (5 \times 18) = 90 \text{ g}$ $90 \text{ g} \rightarrow 58 \text{ g}$ $72 \text{ g} \rightarrow \left( \frac{58 \times 72}{90} \right) = 46.4 \text{ g}$ $= 464 \times 10^{-1} \text{ g}$

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
}