Import Question JSON

Current Question (ID: 7360)

Question:

$\text{The maximum number of molecules is present in which of the following?}$

Options:

1. $\text{15 L of H}_2 \text{ gas at STP}$
2. $\text{5 L of N}_2 \text{ gas at STP}$
3. $\text{0.5 g of H}_2 \text{ gas}$
4. $\text{10 g of O}_2 \text{ gas}$

Solution:

$\text{Hint: Number of molecules = no. of moles} \times \text{N}_A$\n\n$\text{1.}$\n\n$\text{At STP, 1 mol = 22.4 L}$\n\n$\frac{15}{22.4} = 0.66 \text{ mol}$\n\n$\text{2.}$\n\n$\text{At STP, 1 mol = 22.4 L}$\n\n$\frac{5}{22.4} = 0.23 \text{ mol}$\n\n$\text{3.}$\n\n$\text{Number of mole} = \frac{\text{amount of substance}}{\text{molar mass}}$\n\n$\frac{0.5}{2} = 0.25 \text{ mole}$\n\n$\text{4.}$\n\n$\text{Number of mole} = \frac{\text{amount of substance}}{\text{molar mass}}$\n\n$\frac{10}{32} = 0.3 \text{ mol}$\n\n$\text{15 L of H}_2 \text{ gas at STP has highest number of mole thus it will have highest number of molecules.}$

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
}