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Current Question (ID: 8090)

Question:

$\text{A molecule/ion among the following species that does not exist under normal conditions is:}$

Options:

1. $\text{Be}_2^+$
2. $\text{Be}_2$
3. $\text{B}_2$
4. $\text{Li}_2$

Solution:

$\text{HINT: Molecule with zero bond order does not exist.}$ $\text{Explanation:}$ $\text{No molecule can have a zero order, i.e. a molecule with zero order can not exist.}$ $\text{On calculating the bond order of the given molecules, we get,}$ $\text{(1) } \text{Be}_2^+ \text{ (4 + 4 - 1 = 7)}$ $= \sigma_{1s}^2, \sigma_{1s}^{*2}, \sigma_{2s}^2, \sigma_{2s}^{*1}$ $BO = \frac{4-3}{2} = 0.5$ $\text{(2) } \text{Be}_2 \text{ (4 + 4 = 8)}$ $= \sigma_{1s}^2, \sigma_{1s}^{*2}, \sigma_{2s}^2, \sigma_{2s}^{*2}$ $BO = \frac{4-4}{2} = 0$ $\text{(3) } \text{B}_2 \text{ (5 + 5 = 10)}$ $= \sigma_{1s}^2, \sigma_{1s}^{*2}, \sigma_{2s}^2, \sigma_{2s}^{*2}, \pi_{2p_y}^2$ $BO = \frac{6-4}{2} = 1$ $\text{(4) } \text{Li}_2 \text{ (3 + 3 = 6)}$ $= \sigma_{1s}^2, \sigma_{1s}^{*2}, \sigma_{2s}^2$ $BO = \frac{4-2}{2} = 1$ $\text{As mentioned, no molecule can have a zero order, it does not exist.}$

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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
}