Import Question JSON

Current Question (ID: 18119)

Question:

$\text{The osmotic pressure of 5 \% (mass-volume) solution of cane sugar at 150 °C (mol. mass of sugar = 342 g/mole) is:}$

Options:

1. $4 \text{ atm}$
2. $5.07 \text{ atm}$
3. $3.55 \text{ atm}$
4. $2.45 \text{ atm}$

Solution:

$\text{Hint: Use the formula, } \pi = C \times R \times T$ $\text{Step 1:}$ $\text{Calculate the concentration of cane sugar as follows:}$ $\text{The amount of cane sugar is 5 \% (M/V) and it indicates that 5 g of cane sugar is in 100 mL of solution.}$ $\text{The formula of concentration (molarity) is as follows:}$ $C = \frac{\text{amount of cane sugar}}{\text{molar mass of cane sugar}} \times \frac{1000}{\text{volume of solution}}$ $C = \frac{5}{342} \times \frac{1}{100} \times 1000$ $= \frac{50}{342} \text{ M}$ $\text{Step 2:}$ $\text{Calculate the osmotic pressure as follows:}$ $\pi = C \times R \times T$ $\pi = \frac{50}{342} \times 0.082 \times 423$ $\pi = 5.07 \text{ atm}$ $\text{Hence, option 2 is the correct answer.}$

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
}