Import Question JSON

Current Question (ID: 18221)

Question:

$\text{The number of Faradays required to produce 20.0 g of Ca from molten CaCl}_2 \text{ is-}$

Options:

1. $2F$
2. $1F$
3. $4F$
4. $3F$

Solution:

$\text{HINT: Use Faraday's First law of electrolysis.}$ $\text{Explanation:}$ $\text{Step 1: Find out the number of electrons involved in the reaction.}$ $\text{According to the question,}$ $\text{Ca}^{2+} + 2e^- \rightarrow \text{Ca}$ $\text{40 g}$ $\text{Step 2:}$ $\text{Apply Faraday's law to find out the charge.}$ $\text{Electricity required to produce 40 g of calcium = 2 F}$ $\text{Therefore, electricity required to produce 20 g of calcium} = \frac{2}{2} \times 2F = 1F$

Import JSON File

Upload a JSON file containing LaTeX/MathJax formatted question, options, and solution.

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
}