Import Question JSON

Current Question (ID: 8181)

Question:

$\text{The condition that favour a pure sample of an ideal gas to have pressure of 1 atm and a concentration of}$\n\n$1 \text{ mol L}^{-1} \text{ is - }$\n\n$(\text{R}=0.082 \text{ L atm mol}^{-1}\text{K}^{-1})$

Options:

1. $\text{At STP}$
2. $\text{When V = 22.4 L}$
3. $\text{When T = 12 K}$
4. $\text{Impossible under any conditions}$

Solution:

$\text{Hint: Ideal gas equation, PV=nRT}$\n\n$\text{According to ideal gas equation,}$\n\n$\text{pV = nRT}$\n\n$\text{p} = \frac{n}{V}\text{RT}$\n\n$1 \text{ atm} = 1 \text{ mol L}^{-1} \times 0.082 \times \text{T}$\n\n$\text{T} =1/0.082 = 12 \text{ K}$

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
}