Import Question JSON

Current Question (ID: 16674)

Question:

$\text{An electric kettle takes } 4 \text{ A current at } 220 \text{ V. How much time will it take to boil } 1 \text{ kg of water at a temperature of } 20^\circ\text{C? The temperature of boiling water is } 100^\circ\text{C.}$

Options:

1. $6.3 \text{ min}$
2. $8.4 \text{ min}$
3. $12.6 \text{ min}$
4. $4.2 \text{ min}$

Solution:

$\text{The time taken by the water to boil is given by the following equation:}$ $Vit = ms\Delta T$ $\text{Where } i \text{ is the current, } V \text{ is the voltage, } t \text{ is the time, } m \text{ is the mass and } \Delta T \text{ is the change in temperature.}$ $\text{And } s \text{ is the specific heat which is given by:}$ $s = 4200 \text{ J/kg}^\circ\text{C}$ $t = \frac{ms\Delta T}{Vi} \text{ by putting the given respective values, we get:}$ $t = \frac{1 \times 4200 \times 80}{220 \times 4} = 6.3 \text{ min}$

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
}