Import Question JSON

Current Question (ID: 21160)

Question:

$\text{If the concentration of } \text{H}^+ \text{ ions is increased by a factor of 1000, what will happen to the pH?}$

Options:

1. $\text{Decreased by 3}$
2. $\text{Increased by 3}$
3. $\text{There is no change in pH}$
4. $\text{Decreased by 1}$

Solution:

$\text{Hint: } pH = -\log [\text{H}^+]$ $\text{If } \text{H}^+ \text{ ion concentration is increased by a factor of 1000 then pH will be decreased by 3.}$ $\Delta pH = -\log \Delta [\text{H}^+]$ $\Delta [\text{H}^+] = 1000$ $\text{Then, } \Delta pH = -\log 1000$ $\text{or, } \Delta pH = -3$ $\text{Thus, with increase in } [\text{H}^+] \text{ by a factor of 1000, pH decreases by 3. So, option 1 is the correct answer.}$

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
}