Import Question JSON

Current Question (ID: 10833)

Question:
$\text{The number of } \sigma \text{ and } \pi \text{ bonds in the molecule } \text{C}_6\text{H}_{12} \text{ are:}$
Options:
  • 1. $7 = (\sigma_{C-C}), 11 = (\sigma_{C-H}), \text{ and } 0 = \pi$
  • 2. $6 = (\sigma_{C-C}), 12 = (\sigma_{C-H}), \text{ and } 0 = \pi$ (Correct)
  • 3. $12 = (\sigma_{C-C}), 6 = (\sigma_{C-H}), \text{ and } 1 = \pi$
  • 4. $5 = (\sigma_{C-C}), 13 = (\sigma_{C-H}), \text{ and } 1 = \pi$
Solution:
$\text{Hint: A single bond is a sigma bond while multiple bonds are composed of one sigma bond together with pi or other bonds.}$ $\text{Explanation:}$ $\text{Step 1: Below is the cyclohexane } \text{C}_6\text{H}_{12}$ $\text{Step 2: Count the sigma, and Pi bond in the above cyclohexane compound structure}$ $\text{A double bond has one sigma plus one pi bond, and a triple bond has one sigma plus two pi bonds.}$ $\text{There are six C-C sigma } (\sigma_{C-C}) \text{ bonds and twelve C-H sigma } (\sigma_{C-H}) \text{ bonds and zero pi bonds in the above compound.}$

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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
}