Import Question JSON

Current Question (ID: 21503)

Question:

$\text{A reaction was found to be second order with respect to the concentration of carbon monoxide.}$ $\text{If the concentration of carbon monoxide is doubled, with everything else kept the same, the rate of reaction will:}$

Options:

1. $\text{Remain unchanged}$
2. $\text{Triple}$
3. $\text{Increases by a factor of 4}$
4. $\text{Double}$

Solution:

$\text{Hint: Rate of the reaction directly proportional to the concentration of reactant}$ $\text{As per the question, a reaction was found to be second order with respect to the concentration of carbon monoxide.}$ $\text{Hence, } R = k[\text{CO}]^2$ $\text{When concentration of carbon monoxide is doubled, then rate is-}$ $R' = k[2\text{CO}]^2$ $R' = 4k[\text{CO}]^2$ $R' = 4R$ $\text{Hence, the rate of reaction is increased by 4 times.}$

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
}