Import Question JSON

Current Question (ID: 21419)

Question:

$\text{The osmotic pressure exerted by a solution prepared by}$ $\text{dissolving 10 g of protein of molar mass 60 g mol}^{-1}$ $\text{in 200 mL of water at 27°C will be:}$ $\text{(Use } R = 0.083 \text{L bar mol}^{-1} \text{K}^{-1})$

Options:

1. $22.5 \text{ atm}$
2. $20.5 \text{ atm}$
3. $18.5 \text{ atm}$
4. $24.5 \text{ atm}$

Solution:

$\pi = CRT$ $\left[ \frac{10 \times 1000}{60 \times 200} \right] \times 0.082 \times 300 = \frac{5}{6} \times 0.082 \times 300 = 20.5 \text{ atm}$

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
}