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Current Question (ID: 18807)

Question:

$\text{Match the following:}$ $\begin{array}{|c|c|} \hline \text{Elements} & \text{Electronic configuration} \\ \hline \text{i. 61} & \text{a. [Rn]}5f^{13}6d^0 7s^2 \\ \text{ii. 91} & \text{b. [Xe]}4f^5 6s^2 \\ \text{iii. 101} & \text{c. [Rn]}5f^{14}6d^7 7s^2 \\ \text{iv. 109} & \text{d. [Rn]} 5f^2 6d^1 7s^2 \\ \hline \end{array}$

Options:

1. $\text{i=b, ii=d, iii=a, iv=c}$
2. $\text{i=c, ii=a, iii=d, iv=b}$
3. $\text{i=d, ii=a, iii=c, iv=b}$
4. $\text{i=a, ii=c, iii=b, iv=d}$

Solution:

$\text{The elements with their electronic configuration are as follows:}$ $\text{Promethium (Pm) atomic number is 61 and its electronic configuration is}$ $[\text{Xe}]4f^5 6s^2.$ $\text{Protactinium (Pa) atomic number is 91 and its electronic configuration is}$ $[\text{Rn}] 5f^2 6d^1 7s^2.$ $\text{Mendelevium (Md) atomic number is 101 and its electronic configuration is}$ $[\text{Rn}] 5f^{13} 6d^0 7s^2.$ $\text{Meitnerium (Mt) atomic number is 109 and its electronic configuration is}$ $[\text{Rn}] 5f^{14} 6d^7 7s^2.$

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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
}