Import Question JSON

Current Question (ID: 11088)

Question:
$\text{A sink, that is, the system where heat is rejected, is essential for the conversion of heat into work. From which law does the above inference follow?}$
Options:
  • 1. $\text{Zeroth}$
  • 2. $\text{First}$
  • 3. $\text{Second}$ (Correct)
  • 4. $\text{Third}$
Solution:
$\text{Hint: Recall the second law of thermodynamics.}$ $\text{Explanation: According to Kelvin-Planck's statement: No process is possible whose sole result is the absorption of heat from a reservoir and the complete conversion of the heat into work.}$ $\text{According to Clausius's statement: No process is possible whose sole result is the transfer of heat from a colder object to a hotter object.}$ $\text{This is known as the second law of thermodynamics.}$

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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
}