Import Question JSON

Current Question (ID: 8242)

Question:

$\text{Identify the false statement among the following.}$

Options:

1. $\text{Temperature is a state function.}$
2. $\text{Work is a state function.}$
3. $\text{Change in the state is completely defined when the initial and final states are specified.}$
4. $\text{Work appears at the boundary of the system.}$

Solution:

$\textbf{HINT:} \, q \text{ and } w \text{ are path functions.}$\n\n$\textbf{Explanation:}$\n\n$\text{A state function is independent of the manner in which it is performed. Since work is path dependent, it is not a state function.}$\n\n$\text{The function which depends on initial \& final states and does not depend on path followed is called as state function.}$\n\n$\text{The functions such as internal energy, temperature, pressure, volume, etc. are state functions. But work, heat are not state functions as they depend on the path followed by the process. The change in state is completely defined when the initial \& final states are specified.}$\n\n$\text{Work appears only as change in the state at the boundary of the system. It is a path function.}$\n\n$\text{Therefore, option (2) \"Work is a state function\" is the false statement, as work is actually a path function that depends on the process path, not just the initial and final states.}$

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
}