Import Question JSON

Current Question (ID: 10994)

Question:

$\text{Which one of the following processes is reversible?}$

Options:

1. $\text{Transfer of heat by radiation}$
2. $\text{Transfer of heat by conduction}$
3. $\text{Isothermal compression}$ (Correct)
4. $\text{Electrical heating of a nichrome wire}$

Solution:

$\text{Hint: In a reversible process, the system remains in thermodynamic equilibrium at all stages.}$ $\text{Explanation: The isothermal compression process can be made reversible if it occurs very slowly and the system remains in thermal equilibrium with its surroundings at a constant temperature.}$ $\text{Heat transfer by radiation and conduction are irreversible processes as they involve temperature gradients and cannot maintain equilibrium throughout.}$ $\text{Electrical heating of a nichrome wire is also irreversible as it converts electrical energy to heat energy, which cannot be completely reversed.}$ $\text{In contrast, isothermal compression can be carried out quasi-statically, maintaining equilibrium at each step, making it reversible.}$ $\text{Hence, option (3) is the correct answer.}$

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
}