Import Question JSON

Current Question (ID: 11080)

Question:

$\text{For the indicator diagram given below, which of the following is not correct?}$

Options:

1. $\text{Cycle II is a heat engine cycle.}$
2. $\text{Net work is done on the gas in cycle I.}$
3. $\text{Work done is positive for cycle I.}$ (Correct)
4. $\text{Work done is positive for cycle II.}$

Solution:

$\text{Hint: Use the properties of thermodynamic cycles in a } P\text{-}V \text{ diagram}$ $\text{Step: Identify the statement that is not correct.}$ $\text{It is clear from the diagram that process I is anti-clockwise, therefore the work done } W_1 \text{ is negative and indicating a refrigeration or heat pump cycle where net work is done on the gas (negative work). On the other hand, process II is clockwise and the work done } W_2 \text{ is positive which indicates a heat engine cycle where the gas performs net work on the surroundings (positive work).}$ $\text{Hence, option (3) is the correct answer.}$

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
}