Import Question JSON

Current Question (ID: 19873)

Question:

$\text{A vessel contains } 16 \text{ g of hydrogen and } 128 \text{ g of oxygen at standard temperature and pressure. The volume of the vessel in } \text{cm}^3 \text{ is:}$

Options:

1. $72 \times 10^5$
2. $32 \times 10^5$
3. $27 \times 10^4$
4. $54 \times 10^4$

Solution:

$\text{Hint: At STP 1 mole occupies } = 22.4 \text{ L}$ $\text{Step 1: Find the number of moles of each gas.}$ $\text{Number of moles of hydrogen } = \frac{16}{2} = 8$ $\text{Number of moles of oxygen } = \frac{128}{32} = 4$ $\text{The total number of moles } = 8 + 4 = 12.$ $\text{Step 2: Find the volume occupied by the gas.}$ $\text{For 1 mole, the gas occupies } 22.4 \text{ L at STP.}$ $\text{The volume occupied by the 12 moles of gas } = 12 \times 22.4 = 268.8 \text{ L } = 27 \times 10^4 \text{ cm}^3$ $\text{Hence, option (3) is the correct answer.}$

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
}