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Current Question (ID: 18753)

Question:
$\text{The crystal field splitting energy is:}$
Options:
  • 1. $\text{The heat of formation between the two levels (} e_g \text{ and } t_{2g} \text{)}$
  • 2. $\text{The combined pairing energy of the two levels (} e_g \text{ and } t_{2g} \text{)}$
  • 3. $\text{The combined energy of the three levels in octahedral}$
  • 4. $\text{The combined energy of the two levels (} e_g \text{ and } t_{2g} \text{)}$
Solution:
$\text{HINT: CFSE is the energy difference between } e_g \text{ and } t_{2g}$ $\text{The degenerated orbitals (in a spherical field environment) split into two levels i.e., } e_g \text{ and } t_{2g} \text{ in the presence of ligands.}$ $\text{The splitting of the degenerate levels due to the presence of ligands is called crystal-field splitting while the energy difference}$ $\text{between the two levels (} e_g \text{ and } t_{2g} \text{) is called the crystal-field splitting energy.}$ $\text{It is denoted by } \Delta_o.$

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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
}