Import Question JSON

Current Question (ID: 8150)

Question:

$\text{Flask X is filled with 20 g of CH}_4\text{ gas at 100 }^\circ\text{C and another identical flask Y with 40 g O}_2\text{ gas at the same temperature. The correct statement among the following is -}$

Options:

1. $\text{The pressure of the gases in the two flasks is identical}$
2. $\text{The pressure of CH}_4\text{ in flask X is higher than that of O}_2\text{ in flask Y}$
3. $\text{The pressure of CH}_4\text{ in flask X is lower than that of O}_2\text{ in flask Y}$
4. $\text{The pressure of CH}_4\text{ in flask X is half that of O}_2\text{ in flask Y}$

Solution:

$\text{Hint: If the number of moles of gas in two flask are identical then pressure is also identical.}\n\n\text{Calculate the number of moles of CH}_4\text{ and O}_2\text{ as follows:}\n\n\text{n}_{\text{CH}_4} = \frac{20}{16} = \frac{5}{4}\n\n\text{n}_{\text{O}_2} = \frac{40}{32} = \frac{5}{4}\n\n\text{n}_{\text{CH}_4} = \text{n}_{\text{O}_2}\n\n\text{The number of moles of oxygen and methane gas are same hence, its pressure is also same.}$

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
}