Import Question JSON

Current Question (ID: 8156)

Question:

3.2 g of oxygen and 0.2 g of hydrogen are placed in a 1.12 litre flask at 0$^\circ$C. The total pressure of the gas mixture will be:

Options:

1. $1 \text{ atm}$
2. $4 \text{ atm}$
3. $3 \text{ atm}$
4. $2 \text{ atm}$

Solution:

Hint: Use Ideal gas equation formula\n\nStep 1:\nCalculate the moles of $\text{O}_2$ and $\text{H}_2$ as follows:\n$3.2 \text{ g } \text{O}_2 = 0.1 \text{ mol}$\n$0.2 \text{ g } \text{H}_2 = 0.1 \text{ mol}$\n\nTotal $\text{n} = 0.2 \text{ mol}$\n\nStep 2:\nCalculate the total pressure of the gas as follows:\n$\text{P} = \frac{\text{nRT}}{\text{V}} = \frac{0.2 \times 0.082 \times 273}{1.12} = 4 \text{ atm}$

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
}