Import Question JSON

Current Question (ID: 7478)

Question:

$\text{Photons of wavelength 4000 } \text{Å} \text{ are used to break } \text{I}_2 \text{ molecules. The percentage of energy converted to the kinetic energy of atoms will be:}$ $\text{(bond dissociation energy of the molecule is 246.5 kJ/mol)}$

Options:

1. $12\%$
2. $8\%$
3. $26\%$
4. $17\%$

Solution:

$\text{Hint:}$ $\text{Percentage of energy converted to KE} = \frac{\text{energy of 1 mol photon} - \text{dissociation energy}}{\text{energy of 1 mol photon}} \times 100$ $\text{The energy of 1 mole photon is:}$ $E = N_a \times \frac{hc}{\lambda}$ $E = \frac{6.626 \times 10^{-34} \times 3 \times 10^8}{4 \times 10^{-7}} \times 6.022 \times 10^{23}$ $E = 297 \text{ kJ/mol}$ $\text{Percentage of energy converted to KE:}$ $= \frac{297 - 246.5}{297} \times 100$ $= \frac{50.5}{297} \times 100$ $= 17\%$ $\text{Therefore, 17% of the photon energy is converted to kinetic energy of the atoms after bond dissociation.}$

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
}