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Current Question (ID: 8568)

Question:
$\text{Disproportionation reactions are:}$ $(\text{a}) \, 2\text{Cu}^+ \rightarrow \text{Cu}^{2+} + \text{Cu}^0$ $(\text{b}) \, 3\text{MnO}_4^{2-} + 4\text{H}^+ \rightarrow 2\text{MnO}_4^- + \text{MnO}_2 + 2\text{H}_2\text{O}$ $(\text{c}) \, 2\text{KMnO}_4 \xrightarrow{\Delta} \text{K}_2\text{MnO}_4 + \text{MnO}_2 + \text{O}_2$ $(\text{d}) \, 2\text{MnO}_4^- + 3\text{Mn}^{2+} + 2\text{H}_2\text{O} \rightarrow 5\text{MnO}_2 + 4\text{H}^{\oplus}$
Options:
  • 1. $(\text{a}) \text{ and } (\text{d}) \text{ only}$
  • 2. $(\text{a}) \text{ and } (\text{b}) \text{ only}$
  • 3. $(\text{a}), (\text{b}) \text{ and } (\text{c})$
  • 4. $(\text{a}), (\text{c}) \text{ and } (\text{d})$
Solution:
$\text{Hint: In a disproportionation reaction, a single element is oxidized and reduced.}$ $(\text{a}) \text{ and } (\text{b}) \text{ are the disproportionation reactions.}$ $\text{In disproportionation reactions, one substance is oxidized and that same substance gets reduced as well.}$ $\text{Analysis of each reaction:}$ $\text{Reaction (a): } 2\text{Cu}^+ \rightarrow \text{Cu}^{2+} + \text{Cu}^0$ $\text{Cu gets oxidized (Cu}^+ \rightarrow \text{Cu}^{2+}\text{) and Cu gets reduced (Cu}^+ \rightarrow \text{Cu}^0\text{). This is disproportionation.}$ $\text{Reaction (b): } 3\text{MnO}_4^{2-} + 4\text{H}^+ \rightarrow 2\text{MnO}_4^- + \text{MnO}_2 + 2\text{H}_2\text{O}$ $\text{MnO}_4^{2-} \text{ gets oxidized into MnO}_4^- \text{ and MnO}_4^{2-} \text{ gets reduced into MnO}_2\text{. This is disproportionation.}$ $\text{Reaction (c): } 2\text{KMnO}_4 \rightarrow \text{K}_2\text{MnO}_4 + \text{MnO}_2 + \text{O}_2$ $\text{Mn gets reduced from +7 to +6 and +7 to +4, and O gets oxidized from -2 to 0.}$ $\text{Since two different elements (Mn and O) undergo redox changes, this is NOT a disproportionation reaction.}$ $\text{Reaction (d): } 2\text{MnO}_4^- + 3\text{Mn}^{2+} + 2\text{H}_2\text{O} \rightarrow 5\text{MnO}_2 + 4\text{H}^{\oplus}$ $\text{Mn oxidation state changes from +7 to +4 and Mn}^{2+} \text{ undergoes from +2 to +4.}$ $\text{This involves different Mn species, so it's NOT disproportionation.}$

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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
}