Import Question JSON

Current Question (ID: 21422)

Question:

$\text{C}_6\text{H}_6$ \text{ freezes at } 5.5^\circ\text{C. The temperature at which a solution of } 10 \text{ g of } \text{C}_4\text{H}_{10} \text{ in } 200 \text{ g of } \text{C}_6\text{H}_6 \text{ will freeze is:} \text{ (The molal freezing point depression constant of } \text{C}_6\text{H}_6 \text{ is } 5.12^\circ\text{C/m.)}$

Options:

1. $2^\circ\text{C}$
2. $1^\circ\text{C}$
3. $6^\circ\text{C}$
4. $5^\circ\text{C}$

Solution:

$\Delta T_f = K_f m$ $T_f^0 - T_f = K_f \times \frac{\text{amount of } \text{C}_4\text{H}_{10}}{\text{molar mass of } \text{C}_4\text{H}_{10}} \times \frac{1000}{\text{amount of benzene}}$ $5.5 - T_f = 5.12 \times \frac{10}{58} \times \frac{1000}{200}$ $T_f = 1.086^\circ\text{C} \simeq 1^\circ\text{C}$

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
}