Import Question JSON

Current Question (ID: 18339)

Question:

$\text{For a reaction of the type } 2A + B \rightarrow 2C, \text{ the rate of the reaction is given by } k[A]^2[B].$ $\text{When the volume of the reaction vessel is reduced to } \frac{1}{4} \text{ of the original volume, the rate of reaction changes by a factor of:}$

Options:

1. 0.25
2. 16
3. 64
4. 4

Solution:

$\text{Given: Rate} = k[A]^2[B]$ $\text{Where volume is reduced to } 0.25 \text{ times the original volume, the concentration of each component increases 4 times.}$ $\text{Thus,}$ $\text{Rate} = k[4A]^2[4B]$ $\text{Rate'} = k \times 64 [A]^2[B]$ $\text{Rate'} = 64 \text{ rate}$

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
}