Import Question JSON

Current Question (ID: 18097)

Question:

$\text{Match the laws given in Column I with expressions given in Column II.}$ $\begin{array}{|c|c|} \hline \text{Column I} & \text{Column II} \\ \hline \text{A. Raoult's law} & 1. \pi = \text{CRT} \\ \text{B. Osmotic pressure} & 2. \Delta T_f = \text{K}_f \text{m} \\ \text{C. Elevation of boiling point} & 3. p = x_1 p_1^0 + x_2 p_2^0 \\ \text{D. Depression in freezing point} & 4. \Delta T_b = \text{K}_b \text{m} \\ \hline \end{array}$ $\text{Codes}$ $\begin{array}{|c|c|c|c|} \hline \text{A} & \text{B} & \text{C} & \text{D} \\ \hline 1 & 2 & 3 & 4 \\ 2 & 1 & 2 & 3 & 4 \\ 3 & 1 & 4 & 3 & 2 \\ 4 & 3 & 1 & 4 & 2 \\ \hline \end{array}$

Options:

1. $1$
2. $2$
3. $3$
4. $4$

Solution:

$\text{Hint: Osmotic pressure Mathematical representation, } \pi = \text{CRT}$ $\text{A. Raoult's law Mathematical representation of Raoult's law}$ $p = x_1 p_1^0 + x_2 p_2^0$ $\text{B. Osmotic pressure Mathematical representation, } \pi = \text{CRT}$ $\text{C. Elevation of boiling point Mathematical representation, } \Delta T_b = \text{K}_b \text{m}$ $\text{D. Depression in freezing point Mathematical representation, } \Delta T_f = \text{K}_f \text{m}$

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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
}