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Current Question (ID: 8592)

Question:
$\text{Among the following, identify the species with an atom in } +6 \text{ oxidation state-}$
Options:
  • 1. $\text{MnO}_4^{-}$
  • 2. $\text{Cr}(\text{CN})_6^{3-}$
  • 3. $\text{NiF}_6^{2-}$
  • 4. $\text{CrO}_2\text{Cl}_2$
Solution:
$\text{Hint: Chromium's maximum oxidation state is } +6\text{.}$ $\text{Let's calculate the oxidation state of the central atom in each species:}$ $1.\ \text{MnO}_4^{-}$ $\text{Let the oxidation state of Mn be } x\text{.}$ $\text{Oxygen typically has an oxidation state of } -2\text{.}$ $x + 4 \times (-2) = -1$ $x - 8 = -1$ $x = +7$ $\text{So, Mn is in the } +7 \text{ oxidation state.}$ $2.\ \text{Cr}(\text{CN})_6^{3-}$ $\text{Let the oxidation state of Cr be } x\text{.}$ $\text{The cyanide ligand (CN) has a charge of } -1\text{.}$ $x + 6 \times (-1) = -3$ $x - 6 = -3$ $x = +3$ $\text{So, Cr is in the } +3 \text{ oxidation state.}$ $3.\ \text{NiF}_6^{2-}$ $\text{Let the oxidation state of Ni be } x\text{.}$ $\text{Fluorine always has an oxidation state of } -1\text{.}$ $x + 6 \times (-1) = -2$ $x - 6 = -2$ $x = +4$ $\text{So, Ni is in the } +4 \text{ oxidation state.}$ $4.\ \text{CrO}_2\text{Cl}_2 \text{ (Chromyl chloride)}$ $\text{Let the oxidation state of Cr be } x\text{.}$ $\text{Oxygen typically has an oxidation state of } -2\text{.}$ $\text{Chlorine typically has an oxidation state of } -1\text{.}$ $x + 2 \times (-2) + 2 \times (-1) = 0$ $x - 4 - 2 = 0$ $x - 6 = 0$ $x = +6$ $\text{So, Cr is in the } +6 \text{ oxidation state.}$ $\text{Comparing the oxidation states:}$ $\text{MnO}_4^{-}: +7$ $\text{Cr}(\text{CN})_6^{3-}: +3$ $\text{NiF}_6^{2-}: +4$ $\text{CrO}_2\text{Cl}_2: +6$ $\text{The species with an atom in the } +6 \text{ oxidation state is } \text{CrO}_2\text{Cl}_2\text{.}$

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{
  "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
}