Import Question JSON

Current Question (ID: 11184)

Question:

$\text{According to the kinetic theory of gases,}$ $\text{Choose the most appropriate answer from the options given below:}$

Options:

1. $\text{(A) and (C) only}$
2. $\text{(B) and (C) only}$ (Correct)
3. $\text{(A) and (B) only}$
4. $\text{(C) and (D) only}$

Solution:

$\text{Hint: } \lambda = \frac{kT}{\sqrt{2\pi d^2 P}}$ $\text{Explanation: The mean free path of a gas is inversely proportional to the density and directly proportional to the pressure. Therefore the mean free path of gas molecules decreases if the density of molecules is increased and increases if the temperature is increased by keeping the pressure constant.}$

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
}