Import Question JSON

Current Question (ID: 10988)

Question:

$\text{In thermodynamic processes, which of the following statements is not true?}$

Options:

1. $\text{In an adiabatic process, the system is insulated from the surroundings.}$
2. $\text{In an isochoric process, the pressure remains constant.}$ (Correct)
3. $\text{In an isothermal process, the temperature remains constant.}$
4. $\text{In an adiabatic process, } PV^\gamma = \text{constant.}$

Solution:

$\text{For an adiabatic process, there should not be any exchange of heat between the system and its surroundings. All walls of the container must be perfectly insulated. In adiabatic changes, gases obey Poisson's law, i.e., } PV^\gamma = \text{constant.}$ $\text{In an isochoric process, the volume remains constant and in an isobaric process, the pressure remains constant.}$ $\text{Therefore, statement 2 is incorrect as it states that in an isochoric process, the pressure remains constant, when it should be the volume that remains constant.}$

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
}