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Current Question (ID: 21526)

Question:
$\text{In which of the following order the given complex ions are arranged correctly with respect to their decreasing spin only magnetic moment?}$ $\text{(i) [FeF}_6\text{]}^{3-}$ $\text{(ii) [Co(NH}_3\text{)}_6\text{]}^{3+}$ $\text{(iii) [NiCl}_4\text{]}^{2-}$ $\text{(iv) [Cu(NH}_3\text{)}_4\text{]}^{2+}$
Options:
  • 1. $(i) > (iii) > (iv) > (ii)$
  • 2. $(i) > (ii) > (iii) > (iv)$
  • 3. $(iii) > (iv) > (ii) > (i)$
  • 4. $(ii) > (i) > (iii) > (iv)$
Solution:
$\text{Hint: As the number of unpaired electrons increases, the value of spin magnetic moment increases.}$ $\text{(i) [FeF}_6\text{]}^{3-} \rightarrow \text{Fe}^{3+} \Rightarrow [\text{Ar}] 3d^5$ $\text{Fe}^{3+} \begin{array}{|c|c|c|c|c|} \hline \uparrow & \uparrow & \uparrow & \uparrow & \uparrow \\ \hline \end{array} 3d$ $\text{The F}^- \text{ ion is a weak field ligand hence, the pairing of electrons does not take place. Thus, [FeF}_6\text{]}^{3-} \text{ has 5 unpaired electrons.}$ $n = 5,$ $\mu = \sqrt{n(n+2)}$ $\mu = \sqrt{35} \text{ B.M.}$ $\text{(ii) [Co(NH}_3\text{)}_6\text{]}^{3+} \rightarrow \text{Co}^{3+} \Rightarrow [\text{Ar}] 3d^6$ $\text{In Co}^{3+}, \text{ NH}_3 \text{ acts as a strong field ligand. Hence, the pairing of electrons takes place.}$ $\text{Co}^{3+} \begin{array}{|c|c|c|c|c|c|} \hline \uparrow\downarrow & \uparrow\downarrow & \uparrow\downarrow & \uparrow\downarrow & \uparrow\downarrow & \uparrow\downarrow \\ \hline \end{array} 3d$ $\text{The [Co(NH}_3\text{)}_6\text{]}^{3+} \text{ does not contain unpaired electrons. Hence, it has zero dipole moment.}$ $\text{(iii) [NiCl}_4\text{]}^{2-} \rightarrow \text{Ni}^{2+} \Rightarrow [\text{Ar}] 3d^8$ $\text{The Cl}^- \text{ is a weak field ligand hence, the pairing of electrons did not take place.}$ $\text{Ni}^{2+} \begin{array}{|c|c|c|c|c|c|c|c|} \hline \uparrow\downarrow & \uparrow\downarrow & \uparrow\downarrow & \uparrow & \uparrow \\ \hline \end{array} 3d$ $\text{In [NiCl}_4\text{]}^{2-}, \text{ two unpaired electrons are present. Calculate the value of magnetic moment as follows:}$ $n = 2,$ $\mu = \sqrt{2(2+2)}$ $\mu = \sqrt{8} \text{ B.M.}$

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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
}