Import Question JSON

Current Question (ID: 8501)

Question:

$\text{If the pH of an acidic buffer is 5.7 and p}K_a \text{ is 5 then the ratio of } \frac{[\text{Salt}]}{[\text{Acid}]} \text{ will be:}$

Options:

1. $3$
2. $4$
3. $5$
4. $6$

Solution:

$\text{Hint: Henderson-Hasselbalch equation}$ $\text{The Henderson-Hasselbalch equation is as follows:}$ $\text{pH} = \text{p}K_a + \log \frac{\text{salt}}{\text{acid}}$ $\text{Calculate the value of } \log \frac{\text{salt}}{\text{acid}} \text{ as follows:}$ $5.7 = 5 + \log \frac{\text{salt}}{\text{acid}}$ $5.7 - 5 = \log \frac{\text{salt}}{\text{acid}}$ $10^{0.7} = \frac{\text{salt}}{\text{acid}}$ $\frac{\text{salt}}{\text{acid}} = 5$

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
}