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Current Question (ID: 8241)

Question:

$\text{Which, among the following, is not a state function?}$

Options:

1. $\text{Internal energy}$
2. $\text{Free energy}$
3. $\text{Work}$
4. $\text{Enthalpy}$

Solution:

\textbf{Hint:} A state function describes the equilibrium state of a system, thus also describing the type of system. List of state functions: - Mass - Energy (E) - Enthalpy (H) - Internal energy (U) - Gibbs free energy (G) - Helmholtz free energy (F) - Exergy (B) - Entropy (S) These are state functions because they quantitatively describe an equilibrium state of a thermodynamic system. Other state functions include: - Pressure (P) - Temperature (T) - Volume (V) - Chemical composition Work is not a state function because it depends on the path taken during a process, not just the initial and final states of the system. State functions depend only on the current state of the system and are independent of how that state was reached. Therefore, option (3) Work is correct as it is not a state function.

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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
}