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Current Question (ID: 20955)

Question:

$\text{The shape/structure of } [\text{XeF}_5]^− \text{ and } \text{XeO}_3\text{F}_2, \text{ respectively, are:}$ $1. \text{Pentagonal planar and trigonal bipyramidal}$ $2. \text{Trigonal bipyramidal and pentagonal planar}$ $3. \text{Octahedral and square pyramidal}$ $4. \text{Trigonal bipyramidal and trigonal bipyramidal}$

Options:

1. $\text{Pentagonal planar and trigonal bipyramidal}$
2. $\text{Trigonal bipyramidal and pentagonal planar}$
3. $\text{Octahedral and square pyramidal}$
4. $\text{Trigonal bipyramidal and trigonal bipyramidal}$

Solution:

$\text{Hint: The hybridization of } [\text{XeF}_5]^− \text{ and } \text{XeO}_3\text{F}_2, \text{ is } sp^3d^3 \text{ and } sp^3d^2 \text{ respectively.}$ $\text{Explanation:}$ $[\text{XeF}_5]^−$ $\text{Find the steric number as follows:}$ $\text{S.N} = \frac{1}{2}(V + M - C + A)$ $\text{S.N} = \frac{1}{2}(8 + 5 + 1)$ $= 7$ $\text{The shape is pentagonal planar}$ $\text{XeO}_3\text{F}_2$ $\text{Find the steric number as follows:}$ $\text{S.N} = \frac{1}{2}(V + M - C + A)$ $\text{S.N} = \frac{1}{2}(8 + 2)$ $= 5$ $\text{The shape is trigonal bipyramidal.}$

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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
}