Import Question JSON

Current Question (ID: 19709)

Question:

$\text{Given a cyclic process shown in an indicator diagram using SI units.}$ $\text{The work done by the gas during the process is:}$

Options:

1. $300 \text{ units}$
2. $-300 \text{ units}$
3. $600 \text{ units}$
4. $-600 \text{ units}$

Solution:

$\text{Hint: Work done = Area under } (P-V) \text{ curve.}$ $\text{Step: Calculate the work done by the cyclic process.}$ $\text{Work done = Area under } (P-V) \text{ curve}$ $\Rightarrow W = \frac{1}{2} \times \text{base} \times \text{height}$ $\Rightarrow W = \frac{1}{2} \times (4 - 2) \times (400 - 100)$ $\Rightarrow W = \frac{1}{2} \times 2 \times 300 = 300 \text{ units}$ $\text{Hence, option (1) is the correct answer.}$

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
}