Import Question JSON

Current Question (ID: 21413)

Question:

$\text{What is the mole fraction of methyl alcohol in a 5.2 molal aqueous solution of methyl alcohol?}$

Options:

1. $0.100$
2. $0.190$
3. $0.086$
4. $0.050$

Solution:

$\text{Molality (m): moles of solute per kilogram of solvent.}$ $5.2 \text{ molal } \text{CH}_3\text{OH}$ $\frac{5.2 \text{ mole }}{1000 \text{ gm }} \text{H}_2\text{O}$ $X_{\text{CH}_3\text{OH}} = \frac{5.2}{\frac{1000}{18} + 5.2}$ $= 0.085667 \approx 0.086$

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
}