Import Question JSON

Current Question (ID: 11137)

Question:

$\text{Heat is associated with:}$

Options:

1. $\text{kinetic energy of random motion of molecules.}$ (Correct)
2. $\text{kinetic energy of orderly motion of molecules.}$
3. $\text{total kinetic energy of random and orderly motion of molecules.}$
4. $\text{kinetic energy of random motion in some cases and kinetic energy of orderly motion in other cases.}$

Solution:

$\text{Heat is the form of energy that is transferred between systems or objects with different temperatures. It is fundamentally related to the internal energy of a substance, which is the sum of the kinetic and potential energies of its constituent particles. The kinetic energy component is associated with the random motion of the molecules (translation, rotation, and vibration). Therefore, heat is the kinetic energy associated with the random motion of molecules. Thus, the correct answer is option 1.}$

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
}