Import Question JSON

Current Question (ID: 21053)

Question:

$\text{Calculate the magnitude of heat (q) in joules for an isothermal irreversible expansion, where the system expands against an external pressure of } 8 \text{ bar, and the volume increases by } 10 \text{ L.}$

Options:

1. $8000 \text{ J}$
2. $2000 \text{ J}$
3. $6000 \text{ J}$
4. $7600 \text{ J}$

Solution:

$W = -P_{\text{ext}} (\Delta V)$ $= -8 \times 10^5 \text{ N/m}^2 \times (10 \times 10^{-3} \text{ m}^3)$ $= -8 \times 10^5 \times 10^{-2} \text{ joule}$ $= -8 \times 10^3$ $= -8000 \text{ J}$ $q + W = \Delta E$ $q + W = 0 \Rightarrow q = -W = +8000 \text{ J}$

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
}