Import Question JSON

Current Question (ID: 18102)

Question:

$\text{In comparison to a } 0.01 \text{ M solution of glucose, the depression in the freezing point of a } 0.01 \text{ M MgCl}_2 \text{ solution will be:}$

Options:

1. $\text{Same}$
2. $\text{About twice}$
3. $\text{About three times}$
4. $\text{About six times}$

Solution:

$\text{Hint: Depression in freezing point depends on } i \text{ value}$ $\text{As we know depression in freezing point is directly related to van't Hoff factor } (i) \text{ according to which greater the value of } i \text{ greater will be the depression in freezing point.}$ $\begin{array}{c|c} \text{Solution} & i \\ \hline 0.01 \text{ M glucose} & 1 \\ 0.01 \text{ M MgCl}_2 & 3 \end{array}$ $\text{Hence, depression in freezing point of glucose is about 3 times of glucose.}$

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
}