Import Question JSON

Current Question (ID: 7357)

Question:

$\text{A mixture of gases contains H}_2 \text{ and O}_2 \text{ gases in the ratio of 1 : 4 (w/w). The molar ratio of the two gases in the mixture will be:}$

Options:

1. $1:4$
2. $4:1$
3. $16:1$
4. $2:1$

Solution:

$\text{Assume the mass of H}_2 \text{ gas as } x \text{ g and mass of O}_2 \text{ gas } 4x \text{ g}$\n\n$\begin{array}{|c|c|c|c|}\hline \text{} & \text{H}_2 & \text{:} & \text{O}_2 \\\hline \text{Molar Mass} & 2 & \text{:} & 32 \\\hline \text{i.e.} & 1 & \text{:} & 16 \\\hline \end{array}$\n\n$\text{H}_2 \text{ : O}_2$\n\n$\text{On solving,}$\n\n$\text{Molar ratio} = \frac{n_{H_2}}{n_{O_2}} = \frac{x/2}{4x/32} = \frac{x \times 32}{2 \times 4x} = \frac{4}{1} = 4 \text{ : } 1$\n\n$\text{Where n=number of moles of respective gases}$

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
}