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Current Question (ID: 18545)

Question:
$\text{The main reactions that occur in the blast furnace during iron extraction from hematite are:}$ $\text{a. } \text{Fe}_2\text{O}_3 + 3\text{CO} \rightarrow 2\text{Fe} + 3\text{CO}_2$ $\text{b. } \text{FeO} + \text{SiO}_2 \rightarrow \text{FeSiO}_3$ $\text{c. } \text{Fe}_2\text{O}_3 + 3\text{C} \rightarrow 2\text{Fe} + 3\text{CO}$ $\text{d. } \text{CaO} + \text{SiO}_2 \rightarrow \text{CaSiO}_3$ $\text{Choose the correct option:}$ $1. \text{ a and b}$ $2. \text{ b and c}$ $3. \text{ c and d}$ $4. \text{ a and d}$
Options:
  • 1. $\text{a and b}$
  • 2. $\text{b and c}$
  • 3. $\text{c and d}$
  • 4. $\text{a and d}$
Solution:
$\text{HINT: } \text{Fe}_2\text{O}_3 \text{ is first reduced to } \text{Fe}_3\text{O}_4 \text{ and then to FeO}$ $\text{Explanation:}$ $\text{STEP 1:}$ $\text{In the extraction of iron from haematite ore following reactions take place.}$ $(i) \text{Fe}_2\text{O}_3 + 3\text{CO} \rightarrow 2\text{Fe} + 3\text{CO}_2$ $\text{This reaction represents a reduction of } \text{Fe}_2\text{O}_3 \text{ to Fe.}$ $(ii) \text{CaO} + \text{SiO}_2 \rightarrow \text{CaSiO}_3$ $\text{STEP 2:}$ $\text{The reactions are as follows:}$

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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
}