Import Question JSON

Current Question (ID: 8462)

Question:

$\text{The concentration of hydrogen ion in a sample of soft drink is } 3.8 \times 10^{-3} \text{ M.}$ $\text{The pH of the soft drink will be:}$

Options:

1. $3.14$
2. $2.42$
3. $11.58$
4. $6.00$

Solution:

$\text{Given: } [\text{H}^+] = 3.8 \times 10^{-3} \text{ M}$ $\text{We know that pH} = -\log[\text{H}^+]$ $\text{Substituting the given value:}$ $\text{pH} = -\log(3.8 \times 10^{-3})$ $\text{pH} = -\log(3.8) - \log(10^{-3})$ $\text{pH} = -\log(3.8) - (-3)$ $\text{pH} = -\log(3.8) + 3$ $\text{pH} = -0.58 + 3$ $\text{pH} = 2.42$

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
}