Import Question JSON

Current Question (ID: 21424)

Question:
$\text{Statement I:}$ $\text{The freezing point of a solution decreases with a decrease in the amount of non-volatile solute.}$ $\text{Statement II:}$ $\text{The freezing point of the solution is less than that of the solvent.}$
Options:
  • 1. $\text{Both Statement I and Statement II are correct.}$
  • 2. $\text{Statement I is correct and Statement II is incorrect.}$
  • 3. $\text{Statement I is incorrect and Statement II is correct.}$
  • 4. $\text{Both Statement I and Statement II are incorrect.}$
Solution:
$\text{Hint: The freezing point of the solution decreases with an increase in the amount of non-volatile solute.}$ $1. \text{The first statement is the incorrect statement. The freezing point of a solution increases with a decrease in the amount of non-volatile solute.}$ $\text{According to Raoult's law, when a non-volatile solid is added to the solvent its vapor pressure decreases and now it would become equal to that of a solid solvent at a lower temperature. Thus, the freezing point of the solvent decreases.}$ $2. \text{Freezing point of the solution is less than that of the solvent. It is a correct statement.}$ $\text{Thus, option third is the correct answer.}$

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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
}