Import Question JSON

Current Question (ID: 8161)

Question:

$ \text{The graph that represents an isobar } \left(\frac{\text{nR}}{\text{P}} > 1\right) \text{ is-} $

Options:

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

Solution:

\text{Hint: } \log V = \log \left(\frac{nR}{P}\right) + \log T \text{At constant pressure:} PV = nRT V = \left(\frac{nR}{P}\right) T \text{Taking log both sides:} \log V = \log \left(\frac{nR}{P}\right) + \log T \quad \text{......(1)} \text{Compare equation (1) with straight line equation } Y = mx + C. \text{ Hence, option 2 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
}