Import Question JSON

Current Question (ID: 18892)

Question:
$\text{The incorrect statement among the following regarding Cerium is:}$
Options:
  • 1. $\text{The +4 oxidation state of cerium is not known in solutions.}$
  • 2. $\text{The +3 oxidation state of cerium is more stable than the +4 oxidation state.}$
  • 3. $\text{The common oxidation states of cerium are +3, and +4.}$
  • 4. $\text{Cerium (IV) acts as an oxidizing agent.}$
Solution:
$\text{HINT: Ce(IV) acts as an oxidising agent.}$ $\text{Explanation:}$ $\text{STEP 1: Cerium is a chemical element with and atomic number 58.}$ $\text{Cerium is a soft, ductile, and silvery-white metal that tarnishes when exposed to air, and it is soft enough to be cut with a steel kitchen knife.}$ $\text{STEP 2: The electronic configuration of Ce is [Xe] 4f}^1 \text{ 5d}^1 \text{ 6s}^2.}$ $\text{So, for getting stability cerium can easily donate 3 or 4 electrons. Hence, the oxidation states of cerium are Ce}^{3+} \text{ and Ce}^{4+}.}$ $\text{So, it can also form Ce}^{4+} \text{ in aqueous solutions.}$ $\text{STEP 3: Ce(III) is more stable than Ce(IV) because extracting 4 electrons from an atom requires huge amount of energy. Apart from the noble gas configuration, the increasing charge over the ion further contributes in decreasing its stability.}$ $\text{So Ce(IV) only exists just because it has the noble gas configuration at this oxidation state contributing in its stability but the increasing charge contributes in reducing stability so the optimum stability is obtained at oxidation state 3.}$ $\text{It requires a really strong oxidising agent to oxidise state 3 to state 4 which must have the}$ $\text{electron gain enthalpy greater than the ionisation energy of the Ce(III) which can provide enough energy to knock out electron from Ce(III).}$ $\text{But Ce(IV) can be reduced easily to Ce(III) using hydrogen gas.}$ $\text{Thus, Ce(IV) can act as oxidising agent.}$

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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
}