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Current Question (ID: 21552)

Question:

$\text{Which of the following f-block metals have a half-filled f-subshell?}$ $\text{(a) Samarium (Sm)}$ $\text{(b) Gadolinium (Gd)}$ $\text{(c) Europium (Eu)}$ $\text{(d) Terbium (Tb)}$ $\text{[Atomic numbers : Sm = 62, Eu = 63, Gd = 64, Tb = 65]}$

Options:

1. $\text{(a) and (b)}$
2. $\text{(b) and (c)}$
3. $\text{(c) and (d)}$
4. $\text{(a) and (c)}$

Solution:

$\text{Hint: Gd and Eu have half-filled f-subshell.}$ $\text{The valence shell electronic configuration of the given f-block metals are}$ $1. \text{Sm: } 4f^6 6s^2$ $2. \text{Gd: } 4f^7 5d^1 6s^2$ $3. \text{Eu: } 4f^7 6s^2$ $4. \text{Tb: } 4f^9 6s^2$ $\text{Therefore, Gd and Eu have half-filled f-subshell.}$

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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
}