Import Question JSON

Current Question (ID: 18115)

Question:
$\text{The salt that possesses the highest freezing point}$
Options:
  • 1. $0.01 \text{ M NaCl}$
  • 2. $0.05 \text{ M Urea}$
  • 3. $0.01 \text{ M MgCl}_2$
  • 4. $0.02 \text{ M NaCl}$
Solution:
$\text{Hint: As the number of particles increases, the freezing point decreases.}$ $\text{Step 1:}$ $\text{The formula of depression in freezing point is as follows:}$ $\Delta T_f = i \times K_f \times m$ $\Delta T \propto \text{number of ions}$ $\propto \text{conc}$ $\text{Step 2:}$ $\text{Calculate the freezing point for 0.01M NaCl solution because it has maximum freezing point.}$ $T_f^0 - T_f = i \times k_f \times m$ $0 - T_f = 2 \times k_f \times 0.01$ $T_f = -0.02k_f$

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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
}