Import Question JSON

Current Question (ID: 7362)

Question:

\text{The number of atoms in 0.1 mole of a triatomic gas is:} \text{(N}_A = 6.02 \times 10^{23} \text{ mol}^{-1}\text{)}

Options:

1. $6.026 \times 10^{22}$
2. $1.806 \times 10^{23}$
3. $3.600 \times 10^{23}$
4. $1.800 \times 10^{22}$

Solution:

$\text{Hint: 1 mole =} 6.022 \times 10^{23} \text{ atoms}$\n\n$\text{Number of atoms = number of moles } \times \text{ N}_A \times \text{ atomicity}$\n\n$\text{for triatomic gas, atomicity is 3.}$\n\n$= 0.1 \times 6.02 \times 10^{23} \times 3$\n\n$= 1.806 \times 10^{23} \text{ atoms}$

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
}