Import Question JSON

Current Question (ID: 18219)

Question:

$\text{The number of electrons delivered at the cathode during electrolysis by a current of 1 ampere in 60 seconds is:}$ $\text{(Charge on electron = 1.60} \times 10^{-19} \text{ C)}$

Options:

1. $6 \times 10^{23}$
2. $6 \times 10^{20}$
3. $3.75 \times 10^{20}$
4. $7.48 \times 10^{20}$

Solution:

$\text{HINT: Faraday's law of electrolysis}$ $\text{Explanation:}$ $\text{STEP 1:}$ $\frac{W}{E} = \frac{it}{96500} \quad \cdots \cdots \cdots (i)$ $\text{STEP 2:}$ $\text{Given, } i=1\text{A, } t = 60\text{s}$ $\text{On substitution;}$ $\frac{W}{E} = \frac{1 \times 60}{96500}$ $\text{or } \frac{W}{E} = \frac{6}{96500}$ $= \text{Number of mole of electrons} = \frac{6}{96500} \times 6.022 \times 10^{23}$ $= 3.75 \times 10^{20}$

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
}