Import Question JSON

Current Question (ID: 21522)

Question:

$\text{For a first-order reaction, A} \rightarrow \text{B; } t_{1/2} \text{ is 30 minutes. The time in minutes required for 75 \% completion of the reaction is:}$

Options:

1. $50 \text{ min.}$
2. $60 \text{ min}$
3. $40 \text{ min}$
4. $30 \text{ min}$

Solution:

$\text{Hint: } t_{75\%} = t_{1/4} = 2 \times t_{1/2}$ $\text{The } t_{1/2} \text{ of the reaction is 30 min. 50 \% reaction is completed.}$ $\text{Calculate the time period for 75 \% completion of the reaction is as follows:}$ $t_{75\%} = t_{1/4} = 2 \times t_{1/2}$ $= 2 \times 30 \text{ minutes}$ $= 60 \text{ minutes}$ $\text{Hence, option second is the correct answer.}$

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
}