Import Question JSON

Current Question (ID: 21406)

Question:

$\text{The osmotic pressure of a dilute solution of an ionic compound XY in water is four times that of a solution of } 0.01 \text{ M BaCl}_2 \text{ in water.}$ $\text{Assuming complete dissociation of the given ionic compound in water, the concentration of XY (in mol L}^{-1}\text{) in solution is:}$

Options:

1. $4 \times 10^{-4}$
2. $4 \times 10^{-2}$
3. $16 \times 10^{-4}$
4. $6 \times 10^{-2}$

Solution:

$\pi_{xy} = 4\pi_{\text{BaCl}_2}$ $iCRT = 4(iCRT)$ $2C = 4 \times 3(0.01)$ $C = 0.06 = 6 \times 10^{-2} \text{ M}$

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
}