Import Question JSON

Current Question (ID: 8189)

Question:

$\text{Equal weights of methane and oxygen are mixed in an empty container at } 25^{\circ}\text{C}. \text{ The fraction of the total pressure exerted by oxygen is-}$

Options:

1. $1/3$
2. $1/2$
3. $2/3$
4. $\frac{1}{3} \times \frac{273}{298}$

Solution:

$\text{Hint: Dalton Law of partial pressure}$\n\n$\text{Step 1:}$\n\n$\text{Calculate the moles of } \text{CH}_4 \text{ and } \text{O}_2 \text{ as follows:}$\n\n$\text{n}(\text{CH}_4) = \frac{\text{w}}{16} = 1, \text{ n}(\text{O}_2) = \frac{\text{w}}{32}$\n\n$\text{Step 2:}$\n\n$\text{Calculate the partial pressure of } \text{O}_2 \text{ as follows:}$\n\n$\text{P}_{\text{O}_2} = \text{P}_\text{T} \times \text{X}_{\text{O}_2}$\n\n$\text{P}(\text{O}_2) = \frac{\text{w}/32}{\text{w}/16+\text{w}/32}\text{P}_\text{T}$\n\n$= \frac{1}{2+1}$\n\n$= \frac{1}{3}$

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
}