Import Question JSON

Current Question (ID: 7553)

Question:

$\text{The number of electrons with the azimuthal quantum number l = 1 and 2 for } \text{Cr}_{24} \text{ in ground state is}$

Options:

1. $16 \text{ and } 5$
2. $12 \text{ and } 5$
3. $16 \text{ and } 4$
4. $12 \text{ and } 4$

Solution:

\text{Hint: The Aufbau Principle states that lower energy orbitals fill before higher energy orbitals.} \text{Hund's Rule states that if 2 or more degenerate (i.e. same energy) orbitals are available, one electron goes into each until all of them are half-full before pairing up.} \text{First write the electronic configuration of Cr = 1s}^2 \text{ 2s}^2 \text{ 2p}^6 \text{ 3s}^2 \text{ 3p}^6 \text{ 4s}^1 \text{ 3d}^5 \text{Electrons in l=1, p (2p,3p) = 12} \text{Electrons in l=2, d (3d) = 5} \text{So, the number of electrons in l=1, i.e., p-subshell is 12 and the number of electrons in l=2, i.e., d-subshell is 5} \text{This is because:} \text{For l = 0, 1, 2, 3, 4...} \text{Notation = s, p, d, f, g...}

Import JSON File

Upload a JSON file containing LaTeX/MathJax formatted question, options, and solution.

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
}