Import Question JSON

Current Question (ID: 7361)

Question:
$\text{If the Avogadro number N}_A\text{, is changed from } 6.022 \times 10^{23} \text{ mol}^{-1} \text{ to } 6.022 \times 10^{20} \text{ mol}^{-1} \text{ this would change:}$
Options:
  • 1. $\text{The definition of mass in units of grams.}$
  • 2. $\text{The mass of one mole of carbon.}$
  • 3. $\text{The ratio of chemical species to each other in a balanced equation.}$
  • 4. $\text{The ratio of elements to each other in a compound.}$
Solution:
$\text{Hint: The Mass of 1 mole carbon changes}$\n\n$\text{If Avogadro number N}_A\text{ is changed from } 6.022 \times 10^{23} \text{ mol}^{-1} \text{ to } 6.022 \times 10^{20} \text{ mol}^{-1}\text{, this would change the}$\n\n$\text{mass of one mole of carbon.}$\n\n$\therefore \text{ 1 mole of carbon has mass = 12 g}$\n\n$\text{or } 6.022 \times 10^{23} \text{ atoms of carbon have mass = 12 g}$\n\n$\therefore 6.022 \times 10^{20} \text{ atoms of carbon have mass}$\n\n$= \frac{12}{6.022 \times 10^{23}} \times 6.022 \times 10^{20} = 0.012 \text{ g}$

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
}