Import Question JSON

Current Question (ID: 18140)

Question:

$\text{The van't Hoff factor (i) for a dilute aqueous solution of a strong electrolyte barium hydroxide is:}$ $1.\ 0$ $2.\ 1$ $3.\ 2$ $4.\ 3$

Options:

1. $0$
2. $1$
3. $2$
4. $3$

Solution:

$\text{Hint: Ba(OH)}_2 \leftrightarrow \text{Ba}^{2+} + 2\ \text{OH}^- $ $\text{Explanation:}$ $\text{Strong electrolytes dissociate completely in their solutions, van't Hoff factor}$ $i = \text{total number of ions after dissociation}$ $\text{Ba(OH)}_2 \leftrightarrow \text{Ba}^{2+} + 2\ \text{OH}^- $ $i = 1 + 2$ $\text{van't Hoff factor, } i = 3. \text{ Thus, option 4 is the correct answer.}$

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
}