Import Question JSON

Current Question (ID: 8526)

Question:
$\text{If the pH of } 0.1 \text{ M NaCN solution is } 11, \text{ then the percentage hydrolysis will be:}$
Options:
  • 1. $0.1\%$
  • 2. $1\%$
  • 3. $0.01\%$
  • 4. $10\%$
Solution:
\text{Hint: CN}^- + \text{H}_2\text{O} → \text{HCN} + \text{OH}^- \text{Step 1: Hydrolysis reaction for NaCN:} \text{NaCN} + \text{H}_2\text{O} → \text{NaOH} + \text{HCN} \text{Net reaction: CN}^- + \text{H}_2\text{O} → \text{OH}^- + \text{HCN} \text{Initial concentration: C, -, -} \text{Equilibrium concentration: C-C}α\text{, C}α\text{, C}α \text{Given: pH = 11, therefore pOH = 3} \text{From pOH = -log[OH}^-\text{]: [OH}^-\text{] = 10}^{-3} \text{Since [OH}^-\text{] = C}α = \text{0.1} × α α = \text{10}^{-3}/\text{0.1 = 0.01} \text{Percentage Hydrolysis = 1%}

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
}