Import Question JSON

Current Question (ID: 8178)

Question:

$\text{A mixture of carbon monoxide and carbon dioxide is found to have a density of 1.7 g/L at S.T.P. The mole fraction of carbon monoxide is-}$

Options:

1. $0.37$
2. $0.40$
3. $0.30$
4. $0.50$

Solution:

$\text{Hint: } M = \frac{dRT}{p}$\n\n$\text{Step 1:}$\n\n$\text{Calculate the molecular weight of the mixture as follows:}$\n\n$M_{\text{mix}} = \frac{dRT}{p}$\n\n$M_{\text{mix}} = \frac{1.7 \times 0.0821 \times 273}{1}$\n\n$M_{\text{mix}} = 38 \text{ g mol}^{-1}$\n\n$\text{Step 2:}$\n\n$\text{Calculate the mole fraction of carbon monoxide as follows:}$\n\n$M_{\text{mix}} = X_{\text{CO}} \times M_{\text{CO}} + (1 - X_{\text{CO}}) \times M_{\text{CO}_2}$\n\n$= X_{\text{CO}} \times 28 + (1 - X_{\text{CO}}) \times 44 = 38$\n\n$\Rightarrow X_{\text{CO}} = 0.37$

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
}