Import Question JSON

Current Question (ID: 21104)

Question:

$\text{The } pK_a \text{ of a weak acid (HA) and } pK_b \text{ of a weak base (BOH) are 3.2 and 3.4, respectively.}$ $\text{The pH of their salt (AB) solution is:}$

Options:

1. $7.0$
2. $1.0$
3. $7.2$
4. $6.9$

Solution:

$\text{Hint: Use the formula, that is, } pH = 7 + \frac{1}{2}(pK_a - pK_b)$ $pH = \frac{1}{2} pK_w + \frac{1}{2} pK_a - \frac{1}{2} pK_b$ $= \frac{1}{2} \times 14 + \frac{1}{2} \times 3.2 - \frac{1}{2} \times 3.4$ $= 7 + 1.6 - 1.7$ $= 6.9$

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
}