Import Question JSON

Current Question (ID: 19739)

Question:

$\text{In which of the following processes does the internal energy of a gas remain constant?}$ $1. \text{Isothermal}$ $2. \text{Isochoric}$ $3. \text{Isobaric}$ $4. \text{Adiabatic}$

Options:

1. $\text{Isothermal}$
2. $\text{Isochoric}$
3. $\text{Isobaric}$
4. $\text{Adiabatic}$

Solution:

$\text{Hint: } T = \text{constant} \Rightarrow U = \text{constant.}$ $\text{Explanation: In an isothermal process, the temperature of the system remains constant, which means there is no change in temperature, so the change in internal energy is also zero. Therefore, the internal energy of the system remains constant.}$ $\text{Hence, option (1) is the correct answer.}$

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
}