Import Question JSON

Current Question (ID: 8172)

Question:

H_{2} CO_{2}

Options:

1. 10%
2. 13%
3. 15%
4. 20%

Solution:

Step 1: Calculate the initial moles of gases in each flask. - Moles of H_2 in flask A: n_H2 = 20/2 = 10 moles - Moles of CO_2 in flask B: n_CO2 = 88/44 = 2 moles Step 2: Determine the initial pressures in each flask. - For flask A (H_2 at 500 K): P_A = (10 × R × 500)/10 = 500R - For flask B (CO_2 at 200 K): P_B = (2 × R × 200)/10 = 40R Step 3: Let x moles of H_2 move from flask A to flask B. - H_2 remaining in flask A: (10 - x) - Total gas in flask B: (2 + x) Step 4: Equalize pressures: (10 - x) × 500 = (2 + x) × 200 5000 - 500x = 400 + 200x 4600 = 700x x ≈ 6.57 moles Step 5: Calculate H_2 composition in flask B: - Total moles in flask B: 2 + 6.57 = 8.57 - H_2 percentage: (6.57/8.57) × 100 ≈ 13% Hence, H_2 composition in flask B is 13%.

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
}