Import Question JSON

Current Question (ID: 21509)

Question:

$\text{Half-life of substance A following first order kinetics is 5 days.}$ $\text{Starting with 100g of A, the amount left after 15 days will be:}$

Options:

1. $25 \text{ g}$
2. $50 \text{ g}$
3. $12.5 \text{ g}$
4. $6.25 \text{ g}$

Solution:

$\text{Hint: } C = C_0 \left( \frac{1}{2} \right)^y$ $\text{Use the formula given below:}$ $C = C_0 \left( \frac{1}{2} \right)^y$ $y = \frac{\text{total time}}{\text{half-life}} = 3$ $= 100 \left( \frac{1}{2} \right)^3 = 12.5 \text{ g}$

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
}