Import Question JSON

Current Question (ID: 18137)

Question:

$\text{The Van't Hoff factor for 0.1 M Ba(NO}_3)_2 \text{ solution is 2.74. The degree of dissociation is -}$

Options:

1. $91.3 \%$
2. $87 \%$
3. $100 \%$
4. $74 \%$

Solution:

$\text{Hint: } i = \frac{\text{Total number of particle after dissociation/association}}{\text{Total number of particle before dissociation/association}}$ $\text{Ba(NO}_3)_2 \rightleftharpoons \text{Ba}^{2+} + 2 \text{NO}_3^{-}$ $\text{Initial: } 0.1 \quad 0 \quad 0$ $\text{At eq.: } (0.1-x) \quad xM \quad 2xM$ $\alpha = \frac{i-1}{n-1}$ $\alpha = \frac{2.74-1}{3-1}$ $\alpha = \frac{1.74}{2}$ $\alpha = 0.87$ $\alpha = 87\%$

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
}