Import Question JSON

Current Question (ID: 18077)

Question:

$\text{Lowering in vapour pressure is the highest for:}$ $1.\ 0.2\ \text{m urea}$ $2.\ 0.1\ \text{m glucose}$ $3.\ 0.1\ \text{m MgSO}_4$ $4.\ 0.1\ \text{m BaCl}_2$

Options:

1. $0.2\ \text{m urea}$
2. $0.1\ \text{m glucose}$
3. $0.1\ \text{m MgSO}_4$
4. $0.1\ \text{m BaCl}_2$

Solution:

$\text{Hint: Lowering in Vapour pressure } \propto i$ $\text{Step 1:}$ $\text{Lowering in vapour pressure is directly proportional to } i \text{ and mole fraction of solute}$ $\frac{P_A^0 - P_A}{P_A^0} = \frac{i n}{i n + N}$ $\text{As the number of particles increases, the lowering in vapour pressure is maximum.}$ $\text{Step 2:}$ $\text{BaCl}_2 \text{ generate 3 ions, MgSO}_4 \text{ generate 2 particles, urea and glucose will generate 1 particle only.}$ $\text{Hence, the value of } P_A^0 - P_A \text{ is maximum for BaCl}_2.$

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
}