Import Question JSON

Current Question (ID: 19883)

Question:

$\text{Find the total kinetic energy of 1 mole of oxygen gas at } 27^\circ\text{C.}$ $\left[ \text{Take } R = \frac{25}{3} \text{ J/mol-K} \right]$

Options:

1. 6250 \text{ J}
2. 3125 \text{ J}
3. 12500 \text{ J}
4. 625 \text{ J}

Solution:

$\text{Hint: } K = \left( \frac{f}{2} \right) nRT$ $\left( f = 5 \text{ for diatomic gas} \right)$ $K = \frac{5}{2} nRT = \frac{5}{2} \times 1 \times \frac{25}{3} \times 300$ $= 250 \times 25$ $= 6250 \text{ J}$

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
}