Import Question JSON

Current Question (ID: 8368)

Question:

$\text{In the reaction, } \text{N}_2\text{O}_4\text{(g)} \rightleftharpoons 2\text{NO}_2\text{(g)}, \alpha \text{ is that part of } \text{N}_2\text{O}_4 \text{ which dissociates.}$ $\text{The number of moles at equilibrium will be:}$

Options:

1. $(1 - \alpha)^2$
2. $3\alpha$
3. $\alpha$
4. $1 + \alpha$

Solution:

$\text{Hint: total mole = mole of } \text{N}_2\text{O}_4 + \text{ mole of } \text{NO}_2$ $\text{The reaction is as follow:}$ $\text{N}_2\text{O}_4\text{(g)} \rightleftharpoons 2\text{NO}_2\text{(g)}$ $\text{Initial moles:}$ $\text{N}_2\text{O}_4: 1 \text{ mole}$ $\text{NO}_2: 0 \text{ mole}$ $\text{At equilibrium:}$ $\text{N}_2\text{O}_4: (1-\alpha) \text{ mole}$ $\text{NO}_2: 2\alpha \text{ mole}$ $\text{Total number of moles at equilibrium} = (1-\alpha) + 2\alpha = 1 + \alpha$

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
}