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Current Question (ID: 21418)

Question:
$\text{Choose a false statement among the following:}$ $1. \text{Raoult's law states that the vapour pressure of a component over a solution is proportional to its mole fraction.}$ $2. \text{The osmotic pressure (}\pi\text{) of a solution is given by the equation } \pi = \text{MRT, where M is the molarity of the solution.}$ $3. \text{The correct order of osmotic pressure for 0.10 M aqueous solution of each compound is } \text{BaCl}_2 > \text{KCl} > \text{CH}_3\text{COOH} > \text{Sucrose.}$ $4. \text{Two sucrose solutions of the same molarity prepared in different solvents will have the same depression in the freezing point.}$
Options:
  • 1. $\text{Raoult's law states that the vapour pressure of a component over a solution is proportional to its mole fraction.}$
  • 2. $\text{The osmotic pressure (}\pi\text{) of a solution is given by the equation } \pi = \text{MRT, where M is the molarity of the solution.}$
  • 3. $\text{The correct order of osmotic pressure for 0.10 M aqueous solution of each compound is } \text{BaCl}_2 > \text{KCl} > \text{CH}_3\text{COOH} > \text{Sucrose.}$
  • 4. $\text{Two sucrose solutions of the same molarity prepared in different solvents will have the same depression in the freezing point.}$
Solution:
$\text{Hint: } K_f \text{ depends on the solvent}$ $1. \text{Raoult's law states that for a solution of volatile liquids, the partial vapour pressure of each component of the solution is directly proportional to its mole fraction present in the solution.}$ $p = p^0 X$ $2. \text{The osmotic pressure (}\pi\text{) of a solution is given by the equation } \pi = \text{MRT, where M is the molarity of the solution. Thus, it is a correct statement.}$ $3. \text{The correct order of osmotic pressure for 0.10 M aqueous solution of each compound is } \text{BaCl}_2 > \text{KCl} > \text{CH}_3\text{COOH} > \text{Sucrose. It is a correct statement.}$ $\text{Osmotic pressure depends on the number of ions. BaCl}_2 \text{ will generate three ions, KCl is a strong electrolyte thus, it will generate 2 ions. CH}_3\text{COOH is a weak electrolyte thus it will generate fewer ions than KCl. Sucrose is not an electrolyte it will not dissociate hence it will generate only one particle.}$ $4. \text{Two sucrose solutions of the same molarity prepared in different solvents will have the same freezing point depression. It is a wrong statement because depression in the freezing point also depends in } K_f \text{ value.}$ $\text{Two different solvents are used and both have different } K_f \text{ value. Thus, both solution will have different freezing point depression.}$

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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
}