Import Question JSON

Current Question (ID: 21055)

Question:

$\text{Consider the following reactions:}$ $\text{S}_{(g)} + \frac{3}{2} \text{O}_2_{(g)} \rightarrow \text{SO}_3_{(g)} + 2x \text{ kcal}$ $\text{SO}_2_{(g)} + \frac{1}{2} \text{O}_2_{(g)} \rightarrow \text{SO}_3_{(g)} + y \text{ kcal}$ $\text{The heat of formation of } \text{SO}_2_{(g)} \text{ is given by:}$

Options:

1. $\frac{2x}{y} \text{ kcal}$
2. $y - 2x \text{ kcal}$
3. $2x + y \text{ kcal}$
4. $x + y \text{ kcal}$

Solution:

$\text{Hint: Combine the two reactions in such a way that we get:}$ $\text{S} + \text{O}_2 \rightarrow \text{SO}_2$ $\text{SO}_2_{(g)} + \frac{1}{2} \text{O}_2_{(g)} \rightarrow \text{SO}_3_{(g)} \quad \Delta H = -y$ $\Delta H_r = (\Delta H_f)_{\text{SO}_3} - (\Delta H_f)_{\text{SO}_2}$ $-y = -2x - (\Delta H_f)_{\text{SO}_2}$ $(\Delta H_f)_{\text{SO}_2} = y - 2x$

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
}