Import Question JSON

Current Question (ID: 7424)

Question:

$\text{The number of molecules of H}_2\text{SO}_4 \text{ present in 100 mL of 0.02 M H}_2\text{SO}_4 \text{ solution are:}$

Options:

1. $12.044 \times 10^{20} \text{ molecules}$
2. $6.022 \times 10^{23} \text{ molecules}$
3. $1 \times 10^{23} \text{ molecules}$
4. $12.044 \times 10^{23} \text{ molecules}$

Solution:

$\text{Hint: Use the formula, Number of moles} = \text{molarity} \times \text{volume in L}$ $\text{Explanation:}$ $\text{Step 1:}$ $\text{One mole of any substance contains } 6.022 \times 10^{23} \text{ atoms/molecules}$ $\text{Hence, Number of millimoles of H}_2 \text{SO}_4$ $= \text{molarity} \times \text{volume in L}$ $= 0.02 \times 100 \times \frac{1\text{ L}}{1000}$ $= 2 \times 10^{-3} \text{ mol}$ $\text{Step 2:}$ $\text{Number of molecules} = \text{number of moles} \times \text{N}$ $= 2 \times 10^{-3} \times 6.022 \times 10^{23}$ $= 12.044 \times 10^{20} \text{ molecules}$

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
}