Import Question JSON

Current Question (ID: 7415)

Question:

$\text{Sulphur burns according to the reaction}$ $\frac{1}{8}\text{S}_8\text{(s)}+\text{O}_2\text{(g)} \rightarrow \text{SO}_2\text{(g)}$ $\text{What volume of air, at 1 atm and 273 K, containing 21\% oxygen by volume is required to completely burn sulphur (S}_8\text{) present in 200 g of the sample?}$ $\text{(This sample contains 20\% inert material which does not burn)}$

Options:

1. $23.52 \text{ litre}$
2. $320 \text{ litre}$
3. $112 \text{ litre}$
4. $533.33 \text{ litre}$

Solution:

$\text{Hint: In the mixture, 80\% is S}_8$ $\text{Wt. of S}_8 \text{ in sample} = 160 \text{ g;}$ $\text{Moles of S}_8 = \frac{160}{32 \times 8} = 0.625$ $\text{No. of moles of O}_2 \text{ required} = 0.625 \times 8$ $\text{Vol. of O}_2 \text{ required at STP} = 22.4 \times 5$ $\therefore \text{Vol. of air required at STP} = 22.4 \times 5 \times \frac{100}{21} = 533.33 \text{ L}$

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
}